Marine transportation structure response compensation model construction and pseudo-static analysis method and system

Abstract

The invention provides a marine transportation structure response compensation model construction and pseudo-static analysis method and system, and is applied to the technical field of marine transportation of electrical equipment. The method comprises the following steps: based on structural dynamic characteristics of target equipment during marine transportation, performing numerical simulation on a finite element model of the target equipment under the load action of a target operation condition by utilizing a spectral analysis method to obtain structural dynamic response data of the target operation condition; on the basis of structural pseudo-static analysis corresponding to the target operation condition on the target equipment, pseudo-static response data under the target operation condition are obtained; based on the structural dynamic response data, the corresponding quasi-static response data and the motion power spectrum of the ship corresponding to the target equipment, constructing a structural response compensation model of the target operation condition; the target operation working condition is the working condition that the load direction for controlling the structure response of the target equipment is the same as the fundamental frequency vibration direction. According to the method, the problems of long structural response calculation period and large resource consumption of the marine transportation equipment are solved.

Description

Technical Field

[0001] The present invention relates to the technical field of offshore transportation of electrical equipment, and particularly relates to a method and system for constructing a compensation model for structural response in offshore transportation and a quasi-static analysis method. Background Art

[0002] Most offshore electrical equipment is first built on land and then transported by ship to the service sea area for installation and operation. Such equipment has the characteristics of large volume, heavy weight, complex shape, high cost, etc. In offshore transportation operations, the multi-degree-of-freedom coupled motion of the ship under the combined action of wind, wave and current will significantly affect its structural performance. Under such complex working conditions, the equipment structure is not only prone to structural damage of different degrees, but its mechanical properties will also show a progressive deterioration phenomenon, which has an adverse impact on the structural safety. Therefore, calculating the structural response of the equipment under complex offshore transportation conditions is of great significance for the structural safety assessment and the formulation of reinforcement plans.

[0003] In practical engineering, the time history analysis method and the spectrum analysis method are relatively commonly used methods for calculating structural response, but these methods have the problems of long calculation period and large resource consumption. Summary of the Invention

[0004] In order to overcome the problems of long calculation period and large resource consumption in calculating the structural response of the above-mentioned offshore transportation equipment, the present invention provides a method and system for constructing a compensation model for structural response in offshore transportation and a quasi-static analysis method.

[0005] On the one hand, the present invention provides a method for constructing a compensation model for structural response in offshore transportation, including:

[0006] Based on the structural dynamic characteristics of the target equipment during offshore transportation, using the spectrum analysis method to perform numerical simulation on the finite element model of the target equipment under the action of the load corresponding to the target operating condition, and obtaining the structural dynamic response data of the target equipment under the target operating condition;

[0007] Based on the structural quasi-static analysis of the target equipment corresponding to the target operating condition, obtaining the quasi-static response data of the target equipment under the target operating condition;

[0008] Based on the structural dynamic response data and the corresponding quasi-static response data of the target equipment under the target operating condition and the motion power spectrum of the offshore transportation ship corresponding to the target equipment under the target operating condition, fitting the functional relationship between the quasi-static response compensation coefficient under the target operating condition and the peak frequency of the ship motion power spectrum, so as to construct a structural response compensation model of the target equipment under the target operating condition;

[0009] Wherein, the target operating condition is an operating condition in which the load direction controlling the structural response of the target equipment is the same as the fundamental frequency vibration direction.

[0010] Optionally, the ship motion power spectrum is the ship acceleration power spectrum. Before fitting the functional relationship between the quasi-static response compensation coefficient and the peak frequency of the ship motion power spectrum based on the structural dynamic response data of the target device under the target operating conditions, the corresponding quasi-static response data, and the motion power spectrum of the marine transportation ship corresponding to the target device, it further includes:

[0011] Determine the corresponding wave spectral density function based on the wave characteristics of the navigation area of the marine transportation ship corresponding to the target device;

[0012] Determine the displacement power spectrum of the marine transportation ship corresponding to the target device under the target operating conditions based on the amplitude response operator of the marine transportation ship corresponding to the target device under the target operating conditions and the corresponding wave spectral density function;

[0013] Based on taking the second derivative of the displacement power spectrum of the marine transportation ship corresponding to the target device under the target operating conditions, obtain the acceleration power spectrum of the marine transportation ship corresponding to the target device under the target operating conditions, and use the acceleration power spectrum of the marine transportation ship corresponding to the target device under the target operating conditions as the motion power spectrum of the marine transportation ship under the target operating conditions.

[0014] Optionally, based on the structural dynamic characteristics of the target device during marine transportation, use the spectral analysis method to perform a numerical simulation on the finite element model of the target device under the action of the load corresponding to the target operating conditions, and obtain the structural dynamic response data of the target device under the target operating conditions, including:

[0015] Based on performing a modal analysis on the finite element model of the target device, obtain the natural vibration frequency of the target device and the vibration modes of each order of each degree of freedom of the ship as the structural dynamic characteristics of the target device during marine transportation;

[0016] Based on the natural vibration frequency of the target device and the vibration modes of each order of each degree of freedom of the ship, use the spectral analysis method to perform a numerical simulation on the finite element model of the target device under the action of the load corresponding to the target operating conditions, and obtain the structural dynamic response data of the target device under the target operating conditions.

[0017] Optionally, before obtaining the quasi-static response data of the target device under the target operating conditions based on performing a structural quasi-static analysis on the target device corresponding to the target operating conditions, it further includes:

[0018] For the target operating conditions, based on the natural vibration frequency of the target device and the vibration modes of each order of each degree of freedom of the ship, use the spectral analysis method to perform a numerical simulation on the finite element model of the target device under the action of the load of each degree of freedom of the ship alone, and obtain the structural dynamic response data under the action of each degree of freedom of the ship alone;

[0019] Based on the comparison and analysis of the structural dynamic response data under the individual action of each degree of freedom of the ship and the structural dynamic response data of the target device under the target operating conditions, determine the target degree of freedom that controls the structural response of the target device under the target operating conditions;

[0020] Based on the structural pseudo-static analysis of the target device corresponding to the target operating conditions, obtain the pseudo-static response data of the target device under the target operating conditions, including:

[0021] Based on the target degree of freedom motion power spectrum of the marine transport ship under the target operating conditions, determine the equivalent load corresponding to the target operating conditions;

[0022] Based on the equivalent load corresponding to the target operating conditions, conduct a structural pseudo-static analysis on the target device to obtain the pseudo-static response data of the target device under the target operating conditions.

[0023] Optionally, the target operating conditions are determined based on the target wave direction angle and different wave spectral peak periods;

[0024] Each degree of freedom of the ship includes at least one of the following: surge, sway, heave, roll, pitch, and yaw.

[0025] Optionally, based on the structural dynamic response data of the target device under the target operating conditions, the corresponding pseudo-static response data, and the motion power spectrum of the marine transport ship corresponding to the target device under the target operating conditions, fit the functional relationship between the pseudo-static response compensation coefficient under the target operating conditions and the peak frequency of the ship motion power spectrum, including:

[0026] Based on the structural dynamic response data of the target device under the target operating conditions and the corresponding pseudo-static response data, determine the value of the corresponding pseudo-static response compensation coefficient;

[0027] Take the ratio of the peak frequency of the target degree of freedom motion power spectrum of the marine transport ship under the target operating conditions to the structural fundamental frequency corresponding to the target device as the value of the independent variable of the function relationship to be fitted;

[0028] Based on the value of the pseudo-static response compensation coefficient and the value of the independent variable of the function relationship to be fitted, fit the value of the undetermined parameter in the function relationship to be fitted to obtain the functional relationship between the pseudo-static response compensation coefficient under the target operating conditions and the peak frequency of the ship motion power spectrum.

[0029] Optionally, the pseudo-static response compensation coefficient is the ratio between the structural dynamic response data of the target device under the target operating conditions and the corresponding pseudo-static response data.

[0030] Optionally, the structural response compensation model of the target device under the target operating conditions is as follows:

[0031] α = 0.80 + 1.52·f s / f c ;

[0032] Wherein, α is the pseudo-static response compensation coefficient of the target device under the target operating condition, and f s is the peak frequency of the ship motion power spectrum of the target device under the target operating condition, and f c is the structural fundamental frequency of the target device under the target operating condition.

[0033] On the other hand, the present invention also provides a pseudo-static analysis method for a marine transportation device, including:

[0034] Performing a structural pseudo-static analysis on the target device under the current operating condition based on the ship motion power spectrum of the target device under the current operating condition to obtain the pseudo-static response of the target device under the current operating condition;

[0035] Determining the pseudo-static response compensation coefficient of the target device under the current operating condition based on the spectral peak frequency of the ship motion power spectrum of the target device under the current operating condition and the structural response compensation model constructed according to any one of claims 1-7;

[0036] Compensating and correcting the pseudo-static response of the target device under the current operating condition based on the pseudo-static response compensation coefficient of the target device under the current operating condition to obtain the pseudo-static response analysis result of the target device under the current operating condition;

[0037] Wherein, the load direction that controls the structural response of the target device under the current operating condition is the same as the fundamental frequency vibration direction.

[0038] Optionally, performing a structural pseudo-static analysis on the target device under the current operating condition based on the ship motion power spectrum of the target device under the current operating condition to obtain the pseudo-static response of the target device under the current operating condition, including:

[0039] Determining the equivalent load corresponding to the current operating condition based on the standard deviation of the ship motion power spectrum of the target device under the current operating condition;

[0040] Performing a structural pseudo-static analysis on the target device based on the equivalent load corresponding to the current operating condition to obtain the pseudo-static response of the target device under the current operating condition.

[0041] On the other hand, the present invention also provides a system for constructing a structural response compensation model for a marine transportation device, including:

[0042] A dynamic response simulation module, which is used to numerically simulate the finite element model of the target device under the action of the load corresponding to the target operating condition by using the spectral analysis method based on the structural dynamic characteristics of the target device during maritime transportation, so as to obtain the structural dynamic response data of the target device under the target operating condition;

[0043] A quasi-static analysis module, which is used to perform a structural quasi-static analysis on the target device corresponding to the target operating condition to obtain the quasi-static response data of the target device under the target operating condition;

[0044] A model construction module, which is used to fit the functional relationship between the quasi-static response compensation coefficient and the peak frequency of the ship motion power spectrum under the target operating condition based on the structural dynamic response data and the corresponding quasi-static response data of the target device under the target operating condition and the motion power spectrum of the maritime transportation ship corresponding to the target device under the target operating condition, so as to construct a structural response compensation model of the target device under the target operating condition;

[0045] Wherein, the target operating condition is an operating condition in which the load direction controlling the structural response of the target device is the same as the fundamental frequency vibration direction.

[0046] Optionally, the ship motion power spectrum is the ship acceleration power spectrum, and the dynamic response simulation module includes a power spectrum determination sub-module, and the power spectrum determination sub-module is used for:

[0047] Determine the corresponding wave spectral density function based on the wave characteristics of the navigation area of the maritime transportation ship corresponding to the target device;

[0048] Determine the displacement power spectrum of the maritime transportation ship corresponding to the target device under the target operating condition based on the amplitude response operator of the maritime transportation ship corresponding to the target device under the target operating condition and the corresponding wave spectral density function;

[0049] Based on taking the second derivative of the displacement power spectrum of the maritime transportation ship corresponding to the target device under the target operating condition, obtain the acceleration power spectrum of the maritime transportation ship corresponding to the target device under the target operating condition, and use the acceleration power spectrum of the maritime transportation ship corresponding to the target device under the target operating condition as the motion power spectrum of the maritime transportation ship under the target operating condition.

[0050] Optionally, the dynamic response simulation module includes:

[0051] A modal analysis sub-module, which is used to perform a modal analysis on the finite element model of the target device to obtain the natural vibration frequency of the target device and the vibration modes of each order of each ship degree of freedom as the structural dynamic characteristics of the target device during maritime transportation;

[0052] A simulation sub-module, configured to perform a numerical simulation on a finite element model of a target device under the action of a load corresponding to a target operating condition by using a spectral analysis method based on the natural vibration frequency of the target device and the vibration modes of each degree of freedom of each ship, so as to obtain structural dynamic response data of the target device under the target operating condition.

[0053] Optionally, the simulation sub-module is further configured to:

[0054] For a target operating condition, perform a numerical simulation on the finite element model of the target device by using a spectral analysis method based on the natural vibration frequency of the target device and the vibration modes of each degree of freedom of each ship under the action of the load of each ship degree of freedom alone, so as to obtain structural dynamic response data under the action of each ship degree of freedom alone;

[0055] Based on the comparison and analysis of the structural dynamic response data under the action of each ship degree of freedom alone and the structural dynamic response data of the target device under the target operating condition, determine the target degree of freedom that controls the structural response of the target device under the target operating condition;

[0056] The quasi-static analysis module includes:

[0057] An equivalent load determination sub-module, configured to determine an equivalent load corresponding to the target operating condition based on the target degree of freedom motion power spectrum of a marine transportation ship under the target operating condition;

[0058] A static analysis sub-module, configured to perform a structural quasi-static analysis on the target device based on the equivalent load corresponding to the target operating condition, so as to obtain quasi-static response data of the target device under the target operating condition.

[0059] Optionally, the target operating condition is determined based on a target wave direction angle and different wave spectral peak periods;

[0060] Each ship degree of freedom includes at least one of the following: surge, sway, heave, roll, pitch, and yaw.

[0061] Optionally, the model construction module includes:

[0062] A quasi-static response compensation coefficient determination sub-module, configured to determine the value of the quasi-static response compensation coefficient corresponding based on the structural dynamic response data and the corresponding quasi-static response data of the target device under the target operating condition;

[0063] An independent variable determination sub-module, configured to use the ratio of the peak frequency of the target degree of freedom motion power spectrum of a marine transportation ship under the target operating condition to the structural fundamental frequency corresponding to the target device as the value of the independent variable of the function relationship to be fitted;

[0064] A relationship fitting sub-module, which is used to fit the values of the undetermined parameters in the function relationship to be fitted based on the value of the quasi-static response compensation coefficient and the value of the independent variable of the function relationship to be fitted, so as to obtain the function relationship between the quasi-static response compensation coefficient and the peak frequency of the ship motion power spectrum under the target operating condition.

[0065] Optionally, the quasi-static response compensation coefficient is the ratio between the structural dynamic response data and the corresponding quasi-static response data of the target device under the target operating condition.

[0066] Optionally, the structural response compensation model of the target device under the target operating condition is as follows:

[0067] α = 0.80 + 1.52·f s / f c ;

[0068] where, α is the quasi-static response compensation coefficient of the target device under the target operating condition, f s is the peak frequency of the ship motion power spectrum of the target device under the target operating condition, f c is the structural fundamental frequency of the target device under the target operating condition.

[0069] On the other hand, the present invention also provides a quasi-static analysis system for a marine transportation device, including:

[0070] A static response module, which is used to perform a structural quasi-static analysis on the target device under the current operating condition based on the ship motion power spectrum of the target device under the current operating condition, so as to obtain the quasi-static response of the target device under the current operating condition;

[0071] A compensation coefficient determination module, which is used to determine the quasi-static response compensation coefficient of the target device under the current operating condition based on the spectral peak frequency of the ship motion power spectrum of the target device under the current operating condition and the structural response compensation model constructed in any one of the above;

[0072] A compensation correction module, which is used to compensate and correct the quasi-static response of the target device under the current operating condition based on the quasi-static response compensation coefficient of the target device under the current operating condition, so as to obtain the quasi-static response analysis result of the target device under the current operating condition;

[0073] where, the load direction that controls the structural response of the target device under the current operating condition is the same as the fundamental frequency vibration direction.

[0074] Optionally, the static response module is specifically used for:

[0075] Based on the standard deviation of the ship motion power spectrum of the target device under the current operating condition, determine the equivalent load corresponding to the current operating condition;

[0076] Perform a pseudo-static analysis on the target equipment based on the equivalent load corresponding to the current operating condition, and obtain the pseudo-static response of the target equipment under the current operating condition.

[0077] On the other hand, the present invention also provides an electronic device, including: at least one processor and a memory; the memory and the processor are connected through a bus;

[0078] The memory is used to store one or more programs;

[0079] When the one or more programs are executed by the at least one processor, the method for constructing a marine transportation structure response compensation model or pseudo-static analysis described in any one of the above is implemented.

[0080] On the other hand, the present invention also provides a readable storage medium, on which an execution program is stored. When the execution program is executed, the method for constructing a marine transportation structure response compensation model or pseudo-static analysis described in any one of the above is implemented.

[0081] Compared with the prior art, the beneficial effects of the present invention are as follows:

[0082] The present invention provides a method and system for constructing a marine transportation structure response compensation model. By considering the structural dynamic characteristics of marine transportation equipment, a numerical simulation of the finite element model of the target equipment under the action of the load corresponding to the target operating condition is carried out by using the spectral analysis method, and the structural dynamic response data of the target equipment under the target operating condition is obtained. Based on the structural dynamic response data and the corresponding pseudo-static response data, the functional relationship between the pseudo-static response compensation coefficient and the peak frequency of the ship motion power spectrum under the target operating condition is fitted, and a structural response compensation model is obtained. Through this model, the correction of the pseudo-static result by the structural dynamic characteristics of the equipment can be realized, thereby improving the accuracy of the pseudo-static response of marine transportation equipment. Through the constructed structural response compensation model, the structural dynamic response of marine transportation equipment under various target operating conditions can be quickly calculated, without the need for a time-consuming time-frequency analysis process, with high calculation efficiency and low requirements for calculation resources, and solving the problems of long calculation cycle and large resource consumption of the structural response calculation of marine transportation equipment. Description of the Drawings

[0083] Figure 1 It is one of the flow diagrams of the method for constructing a marine transportation equipment structure response compensation model of the present invention;

[0084] Figure 2 It is another flow diagram of the method for constructing a marine transportation equipment structure response compensation model of the present invention;

[0085] Figure 3RAO curve graphs of each degree of freedom of a ship under different wave periods for an example of the present invention.

[0086] Figure 4 Schematic diagram of the finite element model of a flexible DC converter valve for an example of the present invention.

[0087] Figure 5 Schematic diagram of the variation trend of the dynamic amplification factor of the structural displacement response with the frequency ratio for an example of the present invention.

[0088] Figure 6 Schematic diagram of the variation trend of the dynamic amplification factor of the structural stress response with the frequency ratio for an example of the present invention.

[0089] Figure 7 Schematic diagram of the fitting function relationship curve of the amplification correction factor for an example of the present invention.

[0090] Figure 8 Schematic diagram of the structure of the electronic device of the present invention. Detailed implementation manners

[0091] The following further elaborates on the detailed implementation manners of the present invention with reference to the accompanying drawings.

[0092] Example 1

[0093] A method for constructing a structural response compensation model for maritime transportation provided by the present invention, as shown in Figure 1 shown, includes:

[0094] Step S110: Based on the structural dynamic characteristics of the target device during maritime transportation, use the spectral analysis method to perform numerical simulation on the finite element model of the target device under the action of the load corresponding to the target operating condition, and obtain the structural dynamic response data of the target device under the target operating condition;

[0095] Step S120: Based on the structural pseudo-static analysis corresponding to the target operating condition for the target device, obtain the pseudo-static response data of the target device under the target operating condition;

[0096] Step S130: Based on the structural dynamic response data and the corresponding pseudo-static response data of the target device under the target operating condition and the motion power spectrum of the maritime transportation ship corresponding to the target device under the target operating condition, fit the functional relationship between the pseudo-static response compensation coefficient under the target operating condition and the peak frequency of the ship motion power spectrum, so as to construct the structural response compensation model of the target device under the target operating condition.

[0097] In the present exemplary embodiment, the target device may be various large-scale devices that need to be transported by sea. Exemplarily, it may be various electrical devices for sea transportation, such as converter valves. The operating conditions can be determined based on different wave direction angles and wave spectral peak periods. Exemplarily, one operating condition can be determined by a combination of a wave direction angle and a wave spectral peak period. For example, a wave direction angle of 45° and a wave spectral peak period of 16 s are taken as one operating condition. The target operating condition is the operating condition in which the load direction that controls the structural response of the target device is the same as the fundamental frequency vibration direction. Under such operating conditions, the accuracy of the quasi-static analysis results is relatively low. The target operating condition is determined based on the target wave direction angle and different wave spectral peak periods. For example, the target wave direction angle is 45° - 135°. The structural dynamic characteristics of the target device may include the natural vibration frequency, damping ratio, vibration mode, etc. of the structure. The structural dynamic response data may include displacement dynamic response and / or stress dynamic response; the quasi-static response data may include quasi-static displacement response and / or quasi-static stress response. The sea transportation ship corresponding to the target device refers to the ship that transports the target device during sea transportation. All the ships mentioned in this example are of this type. By considering the structural dynamic characteristics of the sea transportation device, using the spectral analysis method to perform numerical simulation on the finite element model of the target device under the action of the load corresponding to the target operating condition, the structural dynamic response data of the target device under the target operating condition is obtained, and based on this structural dynamic response data and the corresponding quasi-static response data, the functional relationship between the quasi-static response compensation coefficient and the peak frequency of the ship motion power spectrum is fitted. Based on this functional relationship, the correction of the quasi-static results by the structural dynamic characteristics of the device can be realized, thereby improving the accuracy of the structural response of the sea transportation device. Through the constructed structural response compensation model, the structural dynamic response of the sea transportation device under various operating conditions can be quickly calculated, with high calculation efficiency and low requirements for calculation resources, solving the problems of long calculation cycle and large resource consumption for the structural response of the sea transportation device.

[0098] In some exemplary embodiments, before fitting the functional relationship between the quasi-static response compensation coefficient and the peak frequency of the ship motion power spectrum based on the structural dynamic response data and the corresponding quasi-static response data of the target device under the target operating condition and the motion power spectrum of the sea transportation ship corresponding to the target device in step S130, it further includes:

[0099] Determine the corresponding wave spectral density function based on the wave characteristics of the navigation sea area of the sea transportation ship corresponding to the target device;

[0100] Determine the displacement power spectrum of the sea transportation ship corresponding to the target device under the target operating condition based on the amplitude response operator of the sea transportation ship corresponding to the target device under the target operating condition and the corresponding wave spectral density function;

[0101] By taking the second derivative of the displacement power spectrum of the marine transport ship corresponding to the target device under the target operating conditions, the acceleration power spectrum of the marine transport ship corresponding to the target device under the target operating conditions is obtained, and the acceleration power spectrum of the marine transport ship corresponding to the target device under the target operating conditions is used as the motion power spectrum of the marine transport ship under the target operating conditions.

[0102] In the present exemplary embodiment, the marine transport ship corresponding to the target device refers to the ship that transports the target device during marine transportation. The spatial distribution characteristics of energy in the frequency domain and direction dimension can be analyzed through the wave spectrum density function, which jointly characterizes the dynamic evolution law and probability characteristics of the ocean random wave field. The selection of the wave spectrum can consider the navigation sea area conditions of the ship (such as wave characteristics), and the calculation requirements can also be considered. Based on the wave spectrum, the corresponding wave spectrum density function is determined. Exemplarily, the wave spectrum includes the JONSWAP spectrum and the PM spectrum. The JONSWAP spectrum is applicable to growing sea waves with limited fetch, while the PM spectrum is applicable to fully developed sea waves. For example, the water depth in the East China Sea is relatively deep and the fetch is limited, so the JONSWAP spectrum is commonly used; the North Atlantic is an open sea area, so the PM spectrum is applicable.

[0103] Among them, taking the JONSWAP spectrum as an example, the expression of its wave spectrum density function is:

[0104]

[0105] Among them, S J (ω) is the wave spectrum density function, γ is the spectral peak factor, H s is the significant wave height, ω p is the wave spectrum peak frequency, ω is the wave frequency, and σ is the shape parameter.

[0106] Using hydrodynamic analysis software to establish a finite element model of the marine transport ship of the target device, performing hydrodynamic analysis on the ship finite element model, and obtaining the amplitude response operator (i.e., the RAO value) under different operating conditions. The wave spectrum density function S J (ω) can represent the frequency distribution of wave energy, the RAO can represent the motion performance of the ship, and the ship displacement power spectrum S(ω) can be calculated by the following formula (2) according to S J (ω) and the RAO.

[0107] S(ω) = RAO 2 (ω) · S J (ω) (2)

[0108] Among them, RAO( ω )It represents the amplitude response operator. The first derivative of the displacement power spectrum is the velocity power spectrum, and the second derivative is the acceleration power spectrum. Since most large electrical equipment is sensitive to acceleration, the vibration and impact caused by complex environmental loads during sea transportation can easily affect the structural performance and service life. Therefore, the second derivative of the ship displacement power spectrum is obtained to get the ship acceleration power spectrum, and the ship acceleration power spectrum is used as the ship motion power spectrum.

[0109] In some exemplary embodiments, based on the structural dynamic characteristics of the target equipment during sea transportation, the finite element model of the target equipment is numerically simulated under the action of the loads corresponding to the target operating conditions by using the spectrum analysis method to obtain the structural dynamic response data of the target equipment under the target operating conditions, including:

[0110] Based on the modal analysis of the finite element model of the target equipment, the natural vibration frequencies of the target equipment and the vibration modes of each order of each degree of freedom of the ship are obtained as the structural dynamic characteristics of the target equipment during sea transportation;

[0111] Based on the natural vibration frequencies of the target equipment and the vibration modes of each order of each degree of freedom of the ship, the finite element model of the target equipment is numerically simulated under the action of the loads corresponding to the target operating conditions by using the spectrum analysis method to obtain the structural dynamic response data of the target equipment under the target operating conditions.

[0112] In this exemplary embodiment, modal analysis is a method for studying the structural dynamic characteristics. Among them, the mode refers to the inherent vibration characteristics of the mechanical structure. Each mode has specific natural frequency, damping ratio and mode shape. The process of analyzing each modal parameter is called modal analysis. In this example, the natural vibration frequencies of the equipment and the vibration modes of each order of each degree of freedom of the ship are obtained by calculating the modes of the finite element model of the target equipment, that is, the structural dynamic characteristics of the equipment. The spectrum analysis method is an analysis method that relates the modal analysis results to the known spectrum to calculate the structural response, and is used to determine the dynamic response of the structure to random loads or time-varying loads. By using the spectrum analysis method to perform numerical simulation on the finite element model of the target equipment under the action of the loads corresponding to the target operating conditions, the corresponding structural dynamic response data can be obtained.

[0113] Exemplarily, before obtaining the quasi-static response data of the target equipment under the target operating conditions based on the structural quasi-static analysis corresponding to the target operating conditions for the target equipment, it further includes:

[0114] For the target operating conditions, based on the natural vibration frequencies of the target equipment and the vibration modes of each order of each degree of freedom of the ship, the finite element model of the target equipment is numerically simulated under the action of the load of each degree of freedom of the ship alone by using the spectrum analysis method to obtain the structural dynamic response data under the action of each degree of freedom of the ship alone;

[0115] Based on the comparative analysis of the structural dynamic response data under the individual action of each degree of freedom of the ship and the structural dynamic response data of the target device under the target operating conditions, determine the target degree of freedom that controls the structural response of the target device under the target operating conditions;

[0116] The step S120 of performing a structural quasi-static analysis on the target device corresponding to the target operating conditions to obtain the quasi-static response data of the target device under the target operating conditions includes:

[0117] Based on the target degree of freedom motion power spectrum of the marine transportation ship under the target operating conditions, determine the equivalent load corresponding to the target operating conditions;

[0118] Perform a structural quasi-static analysis on the target device based on the equivalent load corresponding to the target operating conditions to obtain the quasi-static response data of the target device under the target operating conditions.

[0119] In the present exemplary embodiment, each degree of freedom of the ship includes at least one of six directions: surge, sway, heave, roll, pitch, and yaw. Numerical simulations under the individual action of the load of each degree of freedom of the ship can also be performed through the spectral analysis method to obtain the structural dynamic response data under the individual action of each degree of freedom of the ship. The structural dynamic response data of the target device under the target operating conditions is essentially the structural dynamic response data under the combined action of the loads of each degree of freedom of the ship; therefore, by comparing the results of the combined load action and the individual load action, find out the degree of freedom of the ship that plays a major control role in the structural response as the target degree of freedom. Extract the peak frequency of the ship motion power spectrum in the direction of the target degree of freedom, and obtain the equivalent load based on the ship motion power spectrum of the target degree of freedom. For example, the standard deviation of the ship motion power spectrum can be used as the equivalent load, and the standard deviation calculation formula can be calculated by the following formula (3):

[0120]

[0121] In the formula, σ is the standard deviation of the ship motion power spectrum S(ω), m0 is the zero-order spectral moment, and ω 0 is the zero power of the wave frequency ω. Perform a structural quasi-static analysis on the target device based on this equivalent load to obtain the quasi-static response data of the target device under the target operating conditions.

[0122] In some exemplary embodiments, the step S130 of fitting the functional relationship between the quasi-static response compensation coefficient under the target operating conditions and the peak frequency of the ship motion power spectrum based on the structural dynamic response data of the target device under the target operating conditions, the corresponding quasi-static response data, and the motion power spectrum of the marine transportation ship corresponding to the target device under the target operating conditions includes:

[0123] Determine the value of the quasi-static response compensation coefficient corresponding to the structural dynamic response data and the corresponding quasi-static response data of the target device under the target operating condition;

[0124] Take the ratio of the peak frequency of the target degree-of-freedom motion power spectrum of the marine transportation ship under the target operating condition to the corresponding structural fundamental frequency of the target device as the value of the independent variable of the function relationship to be fitted;

[0125] Based on the value of the quasi-static response compensation coefficient and the value of the independent variable of the function relationship to be fitted, fit the value of the undetermined parameter in the function relationship to be fitted, and obtain the function relationship between the quasi-static response compensation coefficient and the peak frequency of the ship motion power spectrum under the target operating condition.

[0126] In the present exemplary embodiment, determine the value of the quasi-static response compensation coefficient corresponding to the structural dynamic response data and the corresponding quasi-static response data of the target device under the target operating condition. For example, take the ratio between the structural dynamic response data and the corresponding quasi-static response data of the target device under the target operating condition as the value of the quasi-static response compensation coefficient. Take the ratio of the peak frequency of the target degree-of-freedom motion power spectrum of the ship under the target operating condition to the corresponding structural fundamental frequency of the target device as the value of the independent variable of the function relationship to be fitted. Based on the value of the quasi-static response compensation coefficient and the value of the independent variable of the function relationship to be fitted, fit the value of the undetermined parameter in the function relationship to be fitted. For example, the function relationship to be fitted is y = a + bx, where y is the dependent variable (i.e., the quasi-static response compensation coefficient), x is the independent variable (i.e., the ratio of the peak frequency of the target degree-of-freedom motion power spectrum to the structural fundamental frequency), and a and b are undetermined parameters respectively. Then, through multiple groups of (x, y) values, the values of a and b can be fitted and determined, and further the fitted function relationship can be obtained. This function relationship is the structural response compensation model of the target device under the target operating condition.

[0127] Exemplarily, the structural response compensation model of the target device under the target operating condition is as follows:

[0128] α = 0.80 + 1.52·f s / f c (4)

[0129] where α is the quasi-static response compensation coefficient of the target device under the target operating condition, f s is the peak frequency of the ship motion power spectrum of the target device under the target operating condition, and f c is the structural fundamental frequency of the target device under the target operating condition.

[0130] For example, such as Figure 2As shown in the figure, the construction process of the structural response compensation model of the present invention is as follows: Hydrodynamic analysis is carried out based on the relevant parameters of the marine transportation ship of the electrical equipment and the situation of the navigation sea area to obtain the amplitude response operator under different working conditions. Combining with the wave spectrum, the ship motion power spectrum is obtained; the equivalent load is determined based on the ship motion power spectrum. Modal analysis is carried out on the finite element model of the electrical equipment to obtain the natural vibration frequency of the equipment and the vibration modes of each order of each degree of freedom of the ship; static analysis is carried out based on the equivalent load, and spectral analysis is carried out based on the ship motion power spectrum and each order of vibration modes; the displacement ratio or stress ratio corresponding to the spectral analysis result and the static analysis result is used as the dynamic amplification coefficient, and the ratio of the spectral peak frequency of the ship motion power spectrum to the natural vibration frequency is used as the frequency ratio; the structural response compensation model (correction coefficient fitting formula) is fitted based on the dynamic amplification coefficient and the frequency ratio. In view of the lack of practical calculation methods for marine transportation equipment in the past, the present invention constructs a structural response compensation model based on the structural dynamic characteristics and load spectrum distribution, which can be used for the simplified analysis of electrical equipment during marine transportation under the action of ocean waves at home and abroad, providing convenience for the design and reinforcement of marine transportation equipment.

[0131] Embodiment 2

[0132] Based on the same inventive concept, the present invention also provides a quasi-static analysis method for marine transportation equipment, including:

[0133] Carry out the structural quasi-static analysis of the target equipment under the current operating condition based on the ship motion power spectrum of the target equipment under the current operating condition to obtain the quasi-static response of the target equipment under the current operating condition;

[0134] Based on the spectral peak frequency of the ship motion power spectrum of the target equipment under the current operating condition and the structural response compensation model constructed in any one of Embodiment 1, determine the quasi-static response compensation coefficient of the target equipment under the current operating condition;

[0135] Compensate and correct the quasi-static response of the target equipment under the current operating condition based on the quasi-static response compensation coefficient of the target equipment under the current operating condition to obtain the quasi-static response analysis result of the target equipment under the current operating condition;

[0136] Wherein, the load direction that controls the structural response of the target equipment under the current operating condition is the same as the fundamental frequency vibration direction.

[0137] In this exemplary embodiment, the structural response compensation model constructed in Example 1 is used to perform a structural response analysis on a maritime transportation device (target device). Specifically, a quasi-static analysis is performed based on the ship motion power spectrum corresponding to the working condition, and then the quasi-static response is compensated and corrected through the structural response compensation model to obtain the final quasi-static response analysis result. The quasi-static response is compensated and corrected by the quasi-static response compensation coefficient determined by the structural response compensation model, that is, the amplification correction coefficient is first calculated through formula (4) based on the ratio of the spectral peak frequency of the working condition to the fundamental frequency of the converter valve, and then multiplied by the correction coefficient based on the static displacement / stress response of the device. Through the correction and compensation, the final result incorporates the structural dynamic characteristics, improving the accuracy of the quasi-static analysis result of the maritime transportation device; at the same time, the structural response results under different operating conditions can be quickly calculated without spectral analysis, realizing the rapid and effective calculation of the structural response, and having high engineering application value.

[0138] In some embodiments, a structural quasi-static analysis of the target device is performed based on the ship motion power spectrum under the current operating condition of the target device to obtain the quasi-static response of the target device under the current operating condition, including:

[0139] Determine the equivalent load corresponding to the current operating condition based on the standard deviation of the ship motion power spectrum under the current operating condition of the target device;

[0140] Perform a structural quasi-static analysis on the target device based on the equivalent load corresponding to the current operating condition to obtain the quasi-static response of the target device under the current operating condition.

[0141] In this exemplary embodiment, the standard deviation of the ship motion power spectrum of the current working condition can be used as the corresponding equivalent load, as shown in formula (3). Just use this equivalent load to perform the quasi-static analysis of the structure, without the need for a complex spectral analysis process, simplifying the structural response analysis process of the maritime transportation device.

[0142] For example, a specific embodiment is used to illustrate the quasi-static analysis method of the maritime transportation device of the present invention. In this example, the target device is a flexible DC converter valve, and the specific process includes the following:

[0143] (1) Obtain the RAO based on the hydrodynamic analysis of the ship finite element model

[0144] Use hydrodynamic analysis software to establish a ship model with dimensions of 222 m in length, 43 m in width, 13 m in depth, and an average draft of 8 m. Perform hydrodynamic analysis on the ship model under the condition of a ship speed of 0 knots and a significant wave height of 6.8 m to obtain the RAO values at different wave direction angles and wave periods. The RAO curve graphs under each ship degree of freedom (surge, sway, heave, roll, pitch, yaw) are as Figure 3As shown, the horizontal axis is the wave period and the vertical axis is the RAO amplitude.

[0145] (2) Obtaining the ship acceleration power spectrum based on RAO and wave spectrum

[0146] According to the navigation sea conditions and the characteristics of stable parameter calculation and wide applicability, the JONSWAP spectrum is used as the wave spectrum, and the ship displacement power spectrum is calculated using formulas (1) and (2). Since most large electrical equipment is acceleration sensitive, the vibration impact caused by complex environmental loads during maritime transportation can easily affect the structural performance and service life. Therefore, the second-order derivative of the ship displacement power spectrum is obtained to obtain the ship acceleration power spectrum, and then the dynamic response of the structure under the action of transportation acceleration is analyzed.

[0147] (3) Modal analysis of the finite element model of the flexible DC converter valve

[0148] The converter valve tower is an embracing valve tower formed by connecting two single towers in front and back. It is 9.5m high, 7.2m long in the long axis, 4.8m long in the short axis, and weighs 54t. According to the main structural parameters of each part of the converter valve, the finite element model of the converter valve is established using ANSYS software. The main frame is modeled using beam units, and the power module is modeled using shell units. The finite element model is as follows: Figure 4 As shown, the X-axis direction is the long axis direction, and the Y-axis direction is the short axis direction. The modal analysis of the finite element model obtained a structural fundamental frequency of 0.32 Hz, and the vibration direction is the long axis direction of the structure, corresponding to the ship's transverse freedom direction; the third-order frequency is 0.88 Hz, and the vibration direction is the short axis direction of the structure, corresponding to the ship's longitudinal freedom direction.

[0149] (4) Structural response analysis of the finite element model of the flexible DC converter valve

[0150] 25 marine transport conditions were taken for response analysis. The operating conditions were composed of different wave angles and wave spectrum peak periods. Specifically, 0°, 45°, 90°, 135°, and 180° were selected as wave angles, and 8s, 12s, 16s, 20s, and 24s were selected as wave spectrum peak periods to form 25 operating conditions. The model was numerically simulated using the spectrum analysis method to obtain the response results of the structure under the combined and separate loads of each degree of freedom of the ship. By comparison and analysis, it can be seen that the load in the longitudinal direction of the ship plays a major contribution at the wave angles of 0° and 180°, and the load in the transverse direction of the ship plays a major contribution at the wave angles of 45°, 90°, and 135°. The peak frequency of the ship acceleration power spectrum in the direction of the load that plays a major role in controlling the structural response under each operating condition was extracted respectively; the standard deviation of the ship acceleration power spectrum was calculated as the equivalent load by formula (3) under each degree of freedom, and the static response of the structure was obtained by the pseudo-static analysis method.

[0151] (5) Analysis method considering structural dynamic characteristics

[0152] Analyze the structural responses under the above different operating conditions, take the ratio of the spectral peak frequency to the structural fundamental frequency as the frequency ratio, and take the ratio of the structural dynamic response to the static response as the compensation coefficient to obtain the relationship between the quasi-static response compensation coefficient (dynamic amplification coefficient) and the frequency ratio. The variation trends of the structural displacement response and stress response with the dynamic amplification coefficient of the frequency ratio are as Figure 5 and Figure 6 shown. It can be seen from the figure that the displacement response amplification coefficient is basically the same as the stress response amplification coefficient, and their variation trends with the frequency ratio are also approximately the same. Moreover, there is a large gap between the static analysis results and the spectral analysis results (dynamic response results) under the load action of wave direction angles of 45°, 90°, and 135°, indicating that dynamic compensation of the static response is required for the corresponding working conditions at wave direction angles of 45°, 90°, and 135°. However, the difference between the static analysis results and the spectral analysis results under the load action of wave direction angles of 0° and 180° is not significant, so compensation is not required and the corresponding working conditions are ignored. From Figure 5 and 6 it can be seen that under the cross-wave and oblique-wave working conditions corresponding to the wave direction angles of 45°, 90°, and 135°, the dynamic amplification coefficient and the frequency ratio approximately show a linear growth relationship, and the main control load direction is the fundamental frequency vibration direction. Therefore, it is assumed that the coefficient and the frequency ratio satisfy the following linear fitting formula:

[0153] α = a + b·f s / f c (5)

[0154] In the formula, α is the amplification correction coefficient, that is, the quasi-static response compensation coefficient, and a and b are undetermined coefficients;

[0155] In order to determine the values of a and b, the corresponding relationships between the amplification correction coefficient and the frequency ratio under the wave direction angles of 45°, 90°, and 135° are respectively fitted, and the mean values of the fitting results are taken as the undetermined coefficients a and b. Accordingly, the relationship between the amplification correction coefficient and the spectral peak frequency / structural fundamental frequency is established, and the fitted relationship curve is as Figure 7 shown, and the fitting curve formula is as shown in the above formula (4).

[0156] Substitute the frequency ratios under different working conditions into the fitting formula to calculate the correction coefficients (quasi-static response compensation coefficients) under each working condition, and compare them with the true amplification coefficients. The results are shown in Table 1.

[0157] Table 1

[0158]

[0159]

[0160] As can be seen from the results in Table 1, the error between the correction coefficient calculated by the present invention and the true magnification coefficient mostly does not exceed 5%. Therefore, it shows that the present invention has a good fitting effect and can quickly calculate the structural responses under various working conditions to a certain extent. Through the above experimental analysis, it can be seen that when the main control load direction is the fundamental frequency vibration direction working condition, the magnification correction coefficient conforms to the approximate formula of the present invention between the fundamental frequency and the spectral peak frequency of the structure; this approximate formula provides a reliable basis for the structural strength analysis and safety design of flexible electrical equipment under complex sea conditions during transportation.

[0161] In ocean transportation operations, the six-degree-of-freedom coupled motion of a ship under the combined action of wind, waves, and currents will significantly affect its structural integrity. Specifically, it is manifested as a composite motion form of three linear displacements of surge, sway, and heave and three angular displacements of roll, pitch, and yaw. Under such complex working conditions, the equipment structure is not only prone to structural damage of varying degrees, but its mechanical properties will also show a progressive deterioration phenomenon. Therefore, being able to quickly calculate the structural response under the most unfavorable working conditions under complex sea transportation conditions is of great significance for the safety assessment of the structure and the formulation of reinforcement plans. Although the commonly used time-frequency analysis methods can ensure accurate calculation results, there are still many deficiencies, such as long calculation cycles, large resource consumption, and difficulty in correcting errors in a timely manner.

[0162] The present invention combines the ship amplitude response operator with the wave spectrum in the navigation sea area to calculate the ship power spectrum, extracts the peak frequencies of the spectral curves under different working conditions, calculates the natural vibration frequency and dynamic response of the structure by using modal analysis and spectral analysis respectively, takes the ratio of the spectral peak frequency to the fundamental frequency of the structure, obtains the relationship between the dynamic magnification coefficient and the frequency ratio, and then magnifies and corrects the static results to obtain the structural responses under different working conditions. The present invention provides an accurate and efficient method for analyzing the structural response during sea transportation; it can quickly calculate the structural response through the changes in the load spectrum and the dynamic characteristics of the structure.

[0163] The response results obtained by the present invention using the correction coefficient have higher accuracy compared to the static response results. Traditional calculation methods are mostly time-domain analysis and spectral analysis, with long calculation cycles and low efficiency for multi-load working conditions. Converting dynamic loads into equivalent static loads for static calculation can greatly improve the calculation efficiency, but the result accuracy is not high. The quasi-static calculation method based on the correction coefficient of the present invention considers the load characteristics and structural characteristics, multiplies the static results by the correction coefficient, which not only ensures high accuracy but also improves the calculation efficiency for multi-load working conditions. The present invention quickly calculates the structural response by constructing a structural response compensation model and using the correction coefficient determined by the model, and can greatly improve the calculation efficiency for multi-working condition situations.

[0164] Example 3

[0165] Based on the same inventive concept, the present invention also provides a system for constructing a structural response compensation model of a maritime transportation device, including:

[0166] A dynamic response simulation module, configured to perform numerical simulation on the finite element model of the target device under the action of loads corresponding to the target operating conditions by using the spectral analysis method based on the structural dynamic characteristics of the target device during maritime transportation, so as to obtain the structural dynamic response data of the target device under the target operating conditions;

[0167] A quasi-static analysis module, configured to perform a structural quasi-static analysis on the target device corresponding to the target operating conditions to obtain the quasi-static response data of the target device under the target operating conditions;

[0168] A model construction module, configured to fit the functional relationship between the quasi-static response compensation coefficient and the peak frequency of the ship motion power spectrum under the target operating conditions based on the structural dynamic response data and the corresponding quasi-static response data of the target device under the target operating conditions and the motion power spectrum of the maritime transportation ship corresponding to the target device under the target operating conditions, so as to construct a structural response compensation model of the target device under the target operating conditions;

[0169] Wherein, the target operating condition is an operating condition in which the load direction controlling the structural response of the target device is the same as the fundamental frequency vibration direction.

[0170] In a possible implementation manner, the ship motion power spectrum is a ship acceleration power spectrum, and the dynamic response simulation module includes a power spectrum determination sub-module, and the power spectrum determination sub-module is used for:

[0171] Determining the corresponding wave spectral density function based on the wave characteristics of the navigation sea area of the maritime transportation ship corresponding to the target device;

[0172] Determining the displacement power spectrum of the maritime transportation ship corresponding to the target device under the target operating conditions based on the amplitude response operator of the maritime transportation ship corresponding to the target device under the target operating conditions and the corresponding wave spectral density function;

[0173] Taking the second derivative of the displacement power spectrum of the maritime transportation ship corresponding to the target device under the target operating conditions to obtain the acceleration power spectrum of the maritime transportation ship corresponding to the target device under the target operating conditions, and using the acceleration power spectrum of the maritime transportation ship corresponding to the target device under the target operating conditions as the motion power spectrum of the maritime transportation ship under the target operating conditions.

[0174] In a possible implementation manner, the dynamic response simulation module includes:

[0175] A modal analysis sub-module, which is used to perform modal analysis on the finite element model of the target device to obtain the natural vibration frequencies of the target device and the vibration modes of each order of each degree of freedom of the ship as the structural dynamic characteristics of the target device during sea transportation;

[0176] A simulation sub-module, which is used to numerically simulate the finite element model of the target device under the action of the load corresponding to the target operating condition by using the spectral analysis method based on the natural vibration frequencies of the target device and the vibration modes of each order of each degree of freedom of the ship, and obtain the structural dynamic response data of the target device under the target operating condition.

[0177] In a possible implementation manner, the simulation sub-module is further used for:

[0178] For the target operating condition, based on the natural vibration frequencies of the target device and the vibration modes of each order of each degree of freedom of the ship, numerically simulate the finite element model of the target device under the action of the load of each ship degree of freedom alone by using the spectral analysis method, and obtain the structural dynamic response data under the action of each ship degree of freedom alone;

[0179] Based on the comparison and analysis of the structural dynamic response data under the action of each ship degree of freedom alone and the structural dynamic response data of the target device under the target operating condition, determine the target degree of freedom that controls the structural response of the target device under the target operating condition;

[0180] The quasi-static analysis module includes:

[0181] An equivalent load determination sub-module, which is used to determine the equivalent load corresponding to the target operating condition based on the target degree of freedom motion power spectrum of the sea transportation ship under the target operating condition;

[0182] A static analysis sub-module, which is used to perform structural quasi-static analysis on the target device based on the equivalent load corresponding to the target operating condition, and obtain the quasi-static response data of the target device under the target operating condition.

[0183] In a possible implementation manner, the target operating condition is determined based on the target wave direction angle and different wave spectrum peak periods;

[0184] Each degree of freedom of the ship includes at least one of the following: surge, sway, heave, roll, pitch, and yaw.

[0185] In a possible implementation manner, the model construction module includes:

[0186] A quasi-static response compensation coefficient determination sub-module, which is used to determine the value of the corresponding quasi-static response compensation coefficient based on the structural dynamic response data and the corresponding quasi-static response data of the target device under the target operating condition;

[0187] An independent variable determination sub-module, configured to use the ratio of the peak frequency of the target degree-of-freedom motion power spectrum of the marine transportation ship under the target operating condition to the structural fundamental frequency corresponding to the target device as the value of the independent variable of the function relationship to be fitted.

[0188] A relationship fitting sub-module, configured to fit the value of the undetermined parameter in the function relationship to be fitted based on the value of the quasi-static response compensation coefficient and the value of the independent variable of the function relationship to be fitted, and obtain the function relationship between the quasi-static response compensation coefficient and the peak frequency of the ship motion power spectrum under the target operating condition.

[0189] In a possible implementation manner, the quasi-static response compensation coefficient is the ratio between the structural dynamic response data of the target device under the target operating condition and the corresponding quasi-static response data.

[0190] In a possible implementation manner, the structural response compensation model of the target device under the target operating condition is as follows:

[0191] α = 0.80 + 1.52·f s / f c ;

[0192] where α is the quasi-static response compensation coefficient of the target device under the target operating condition, f s is the peak frequency of the ship motion power spectrum of the target device under the target operating condition, and f c is the structural fundamental frequency of the target device under the target operating condition.

[0193] Embodiment 4

[0194] Based on the same inventive concept, the present invention further provides a quasi-static analysis system for marine transportation equipment, including:

[0195] A static response module, configured to perform structural quasi-static analysis on the target device under the current operating condition based on the ship motion power spectrum of the target device under the current operating condition, and obtain the quasi-static response of the target device under the current operating condition.

[0196] A compensation coefficient determination module, configured to determine the quasi-static response compensation coefficient of the target device under the current operating condition based on the spectral peak frequency of the ship motion power spectrum of the target device under the current operating condition and the structural response compensation model constructed in any one of Embodiment 1.

[0197] A compensation correction module, configured to compensate and correct the quasi-static response of the target device under the current operating condition based on the quasi-static response compensation coefficient of the target device under the current operating condition, and obtain the quasi-static response analysis result of the target device under the current operating condition.

[0198] Among them, the load direction that controls the structural response of the target device under the current operating condition is the same as the fundamental frequency vibration direction.

[0199] In a possible implementation manner, the static response module is specifically configured to:

[0200] Determine the equivalent load corresponding to the current operating condition based on the standard deviation of the ship motion power spectrum of the target device under the current operating condition;

[0201] Perform a structural quasi-static analysis on the target device based on the equivalent load corresponding to the current operating condition to obtain the quasi-static response of the target device under the current operating condition.

[0202] Embodiment 5

[0203] As Figure 8 shown, the present invention further provides an electronic device, which may be a computer device, a single-chip microcomputer device, a smart mobile device, etc. The electronic device in this embodiment may include a processor, a memory, a transceiver component, etc. The memory, the processor, and the transceiver component are connected through a bus; the memory can be used to store an execution program, and an exemplary execution program may include instructions; the processor is used to execute the instructions stored in the memory. The memory can also be used to store data, and this data can be called and / or modified when the instructions are executed.

[0204] The processor may be a Central Processing Unit (CPU), or may also be other general-purpose processors, a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), a Field-Programmable Gate Array (FPGA), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. It is the computing core and control core of the terminal, and is suitable for implementing one or more instructions. Specifically, it is suitable for loading and executing one or more instructions in the storage medium to implement the corresponding method flow or corresponding function, so as to implement the steps of a method for constructing a marine transportation structural response compensation model and performing quasi-static analysis in the above embodiments.

[0205] Embodiment 6

[0206] Based on the same inventive concept, the present invention also provides a readable storage medium, specifically an electronic device-readable storage medium (Memory). The electronic device-readable storage medium is a memory device in an electronic device, used to store programs and data. It can be understood that the storage medium here can include both the built-in storage medium in the electronic device and, of course, the extended storage medium supported by the electronic device. The storage medium provides a storage space, and this storage space stores the operating system of the terminal. Moreover, in this storage space, there is also stored one or more instructions suitable for being loaded and executed by a processor. These instructions can be one or more executable programs (including program codes). It should be noted that the storage medium here can be a high-speed RAM memory or a non-volatile memory, such as at least one disk memory. By loading and executing one or more instructions stored in the storage medium by the processor, the steps of a method for constructing a response compensation model and performing a pseudo-static analysis of a maritime transportation structure in the above embodiments can be implemented.

[0207] Those skilled in the art should understand that the embodiments of the present invention can be provided as a method, a system, or a computer program product. Therefore, the present invention can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Moreover, the present invention can take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk memories, CD-ROMs, optical memories, etc.) containing computer-usable program codes.

[0208] The present invention is described with reference to the flowcharts and / or block diagrams of methods, devices (systems), and computer program products according to the embodiments of the present invention. It should be understood that each flow and / or block in the flowchart and / or block diagram, as well as the combination of flows and / or blocks in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to the processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing devices to generate a machine, such that the instructions executed by the processor of the computer or other programmable data processing devices generate a device for realizing the functions specified in Figure 1 one flow or multiple flows and / or blocks Figure 1 one block or multiple blocks.

[0209] These computer program instructions can also be stored in a computer-readable memory that can direct a computer or other programmable data processing device to work in a specific manner, such that the instructions stored in the computer-readable memory generate a manufactured article including an instruction device, and the instruction device realizes the functions in Figure 1 one flow or multiple flows and / or blocks Figure 1The functions specified in one or more boxes.

[0210] These computer program instructions can also be loaded onto a computer or other programmable data processing device, so that a series of operation steps are executed on the computer or other programmable device to generate a computer-implemented process. Thus, the instructions executed on the computer or other programmable device provide for implementing the steps of the functions specified in one Figure 1 one process or more processes and / or boxes Figure 1 step of the functions specified in one box or more boxes.

[0211] Finally, it should be noted that the above embodiments are only used to illustrate the technical solution of the present invention rather than to limit its protection scope. Although the present invention has been described in detail with reference to the above embodiments, those of ordinary skill in the art should understand that after reading the present invention, various changes, modifications or equivalent replacements can still be made to the specific implementation manners of the application. However, these changes, modifications or equivalent replacements are all within the protection scope of the pending claims of the application.

Claims

1. A method for constructing a response compensation model of a maritime transportation structure, characterized in that, Including: Based on the structural dynamic characteristics of the target device during maritime transportation, using the spectral analysis method to perform numerical simulation on the finite element model of the target device under the action of the loads corresponding to the target operating conditions, and obtaining the structural dynamic response data of the target device under the target operating conditions; Based on the structural pseudo-static analysis of the target device corresponding to the target operating conditions, obtaining the pseudo-static response data of the target device under the target operating conditions; Based on the structural dynamic response data of the target device under the target operating conditions, the corresponding pseudo-static response data, and the motion power spectrum of the maritime transportation ship corresponding to the target device under the target operating conditions, fitting the functional relationship between the pseudo-static response compensation coefficient under the target operating conditions and the peak frequency of the ship motion power spectrum, so as to construct the structural response compensation model of the target device under the target operating conditions; Wherein, the target operating condition is the operating condition in which the load direction controlling the structural response of the target device is the same as the fundamental frequency vibration direction.

2. The method according to claim 1, wherein The ship motion power spectrum is the ship acceleration power spectrum. Before fitting the functional relationship between the pseudo-static response compensation coefficient and the peak frequency of the ship motion power spectrum based on the structural dynamic response data of the target device under the target operating conditions, the corresponding pseudo-static response data, and the motion power spectrum of the maritime transportation ship corresponding to the target device, it further includes: Based on the wave characteristics of the navigation area of the maritime transportation ship corresponding to the target device, determining the corresponding wave spectral density function; Based on the amplitude response operator of the maritime transportation ship corresponding to the target device under the target operating conditions and the corresponding wave spectral density function, determining the displacement power spectrum of the maritime transportation ship corresponding to the target device under the target operating conditions; Based on taking the second derivative of the displacement power spectrum of the maritime transportation ship corresponding to the target device under the target operating conditions, obtaining the acceleration power spectrum of the maritime transportation ship corresponding to the target device under the target operating conditions, and using the acceleration power spectrum of the maritime transportation ship corresponding to the target device under the target operating conditions as the motion power spectrum of the maritime transportation ship under the target operating conditions.

3. The method according to claim 1, wherein Based on the structural dynamic characteristics of the target device during maritime transportation, using the spectral analysis method to perform numerical simulation on the finite element model of the target device under the action of the loads corresponding to the target operating conditions, and obtaining the structural dynamic response data of the target device under the target operating conditions, including: Based on performing modal analysis on the finite element model of the target device, obtaining the natural vibration frequency of the target device and the vibration modes of each order of each ship degree of freedom as the structural dynamic characteristics of the target device during maritime transportation; Based on the natural vibration frequency of the target device and the vibration modes of each order of each ship degree of freedom, using the spectral analysis method to perform numerical simulation on the finite element model of the target device under the action of the loads corresponding to the target operating conditions, and obtaining the structural dynamic response data of the target device under the target operating conditions.

4. The method according to claim 3, wherein Before obtaining the pseudo-static response data of the target device under the target operating conditions based on the structural pseudo-static analysis of the target device corresponding to the target operating conditions, it further includes: For a target operating condition, based on the natural vibration frequency of the target device and the vibration modes of each degree of freedom of the ship, the finite element model of the target device is numerically simulated by the spectral analysis method under the action of the load of each degree of freedom of the ship separately, and the structural dynamic response data under the action of each degree of freedom of the ship separately are obtained; Based on the comparative analysis of the structural dynamic response data under the action of each degree of freedom of the ship separately and the structural dynamic response data of the target device under the target operating condition, the target degree of freedom that controls the structural response of the target device under the target operating condition is determined; The structural pseudo-static analysis corresponding to the target operating condition is performed on the target device, and the pseudo-static response data of the target device under the target operating condition are obtained, including: Based on the target degree of freedom motion power spectrum of the marine transport ship under the target operating condition, the equivalent load corresponding to the target operating condition is determined; Based on the equivalent load corresponding to the target operating condition, the structural pseudo-static analysis is performed on the target device, and the pseudo-static response data of the target device under the target operating condition are obtained.

5. The method according to claim 4, characterized in that, The target operating condition is determined based on the target wave direction angle and different wave spectral peak periods; Each degree of freedom of the ship includes at least one of the following: surge, sway, heave, roll, pitch, and yaw.

6. The method according to claim 4, characterized in that Based on the structural dynamic response data of the target device under the target operating condition, the corresponding pseudo-static response data, and the motion power spectrum of the marine transport ship corresponding to the target device under the target operating condition, the functional relationship between the pseudo-static response compensation coefficient under the target operating condition and the peak frequency of the ship motion power spectrum is fitted, including: Based on the structural dynamic response data of the target device under the target operating condition and the corresponding pseudo-static response data, the value of the corresponding pseudo-static response compensation coefficient is determined; The ratio of the peak frequency of the target degree of freedom motion power spectrum of the marine transport ship under the target operating condition to the structural fundamental frequency corresponding to the target device is used as the value of the independent variable of the functional relationship to be fitted; Based on the value of the pseudo-static response compensation coefficient and the value of the independent variable of the functional relationship to be fitted, the value of the undetermined parameter in the functional relationship to be fitted is fitted, and the functional relationship between the pseudo-static response compensation coefficient under the target operating condition and the peak frequency of the ship motion power spectrum is obtained.

7. The method according to claim 6, characterized in that, The pseudo-static response compensation coefficient is the ratio between the structural dynamic response data of the target device under the target operating condition and the corresponding pseudo-static response data.

8. The method according to claim 6, wherein The structural response compensation model of the target device under the target operating condition is as follows: α = 0.80 + 1.52·f s / f c ; where α is the quasi-static response compensation coefficient of the target device under the target operating conditions, and f s is the peak frequency of the ship motion power spectrum of the target device under the target operating conditions, and f c is the structural fundamental frequency of the target device under the target operating conditions.

9. A quasi-static analysis method for a maritime transportation device, characterized in that, Including: Based on the ship motion power spectrum of the target device under the current operating condition, the structural pseudo-static analysis of the target device under the current operating condition is performed to obtain the pseudo-static response of the target device under the current operating condition; Based on the spectral peak frequency of the ship motion power spectrum of the target device under the current operating condition and the structural response compensation model constructed according to any one of claims 1-8, the pseudo-static response compensation coefficient of the target device under the current operating condition is determined; Based on the pseudo-static response compensation coefficient of the target device under the current operating condition, the pseudo-static response of the target device under the current operating condition is compensated and corrected to obtain the pseudo-static response analysis result of the target device under the current operating condition; Among them, the load direction that controls the structural response of the target device under the current operating condition is the same as the fundamental frequency vibration direction.

10. The method according to claim 9, wherein Based on the ship motion power spectrum of the target device under the current operating condition, perform a structural pseudo-static analysis of the target device under the current operating condition to obtain the pseudo-static response of the target device under the current operating condition, including: Based on the standard deviation of the ship motion power spectrum of the target device under the current operating condition, determine the equivalent load corresponding to the current operating condition; Perform a structural pseudo-static analysis of the target device based on the equivalent load corresponding to the current operating condition to obtain the pseudo-static response of the target device under the current operating condition.

11. A system for constructing a structural response compensation model of a marine transportation device, characterized in that, Including: A dynamic response simulation module for numerically simulating the finite element model of the target device under the action of the load corresponding to the target operating condition by using the spectral analysis method based on the structural dynamic characteristics of the target device during sea transportation to obtain the structural dynamic response data of the target device under the target operating condition; A pseudo-static analysis module for obtaining the pseudo-static response data of the target device under the target operating condition based on the structural pseudo-static analysis of the target device corresponding to the target operating condition; A model construction module for fitting the functional relationship between the pseudo-static response compensation coefficient under the target operating condition and the peak frequency of the ship motion power spectrum based on the structural dynamic response data and the corresponding pseudo-static response data of the target device under the target operating condition and the motion power spectrum of the sea transportation ship corresponding to the target device under the target operating condition, so as to construct a structural response compensation model of the target device under the target operating condition; Among them, the target operating condition is the operating condition in which the load direction that controls the structural response of the target device is the same as the fundamental frequency vibration direction.

12. The system according to claim 11, wherein, The ship motion power spectrum is the ship acceleration power spectrum, and the dynamic response simulation module includes a power spectrum determination sub-module, and the power spectrum determination sub-module is used for: Determine the corresponding wave spectral density function based on the wave characteristics of the navigation area of the sea transportation ship corresponding to the target device; Based on the amplitude response operator of the sea transportation ship corresponding to the target device under the target operating condition and the corresponding wave spectral density function, determine the displacement power spectrum of the sea transportation ship corresponding to the target device under the target operating condition; Based on taking the second derivative of the displacement power spectrum of the sea transportation ship corresponding to the target device under the target operating condition, obtain the acceleration power spectrum of the sea transportation ship corresponding to the target device under the target operating condition, and use the acceleration power spectrum of the sea transportation ship corresponding to the target device under the target operating condition as the motion power spectrum of the sea transportation ship under the target operating condition.

13. The system according to claim 11, wherein, The dynamic response simulation module includes: A modal analysis sub-module for performing modal analysis on the finite element model of the target device to obtain the natural vibration frequency of the target device and the vibration modes of each order of each ship degree of freedom as the structural dynamic characteristics of the target device during sea transportation; A simulation sub-module, which is used to perform numerical simulation on the finite element model of the target device under the action of the corresponding load in the target operating condition by using the spectral analysis method based on the natural vibration frequency of the target device and the vibration modes of each degree of freedom of each ship, so as to obtain the structural dynamic response data of the target device under the target operating condition.

14. The system according to claim 13, wherein The simulation sub-module is further used for: For the target operating condition, based on the natural vibration frequency of the target device and the vibration modes of each degree of freedom of each ship, using the spectral analysis method to perform numerical simulation on the finite element model of the target device under the action of the load of each degree of freedom of each ship separately, so as to obtain the structural dynamic response data under the action of each degree of freedom of each ship separately; Based on the comparison and analysis of the structural dynamic response data under the action of each degree of freedom of each ship separately and the structural dynamic response data of the target device under the target operating condition, determine the target degree of freedom that controls the structural response of the target device under the target operating condition; The quasi-static analysis module includes: An equivalent load determination sub-module, which is used to determine the equivalent load corresponding to the target operating condition based on the motion power spectrum of the target degree of freedom of the marine transportation ship under the target operating condition; A static analysis sub-module, which is used to perform structural quasi-static analysis on the target device based on the equivalent load corresponding to the target operating condition, so as to obtain the quasi-static response data of the target device under the target operating condition.

15. The system according to claim 14, wherein The target operating condition is determined based on the target wave direction angle and different wave spectral peak periods; Each degree of freedom of each ship includes at least one of the following: surge, sway, heave, roll, pitch, and yaw.

16. The system according to claim 14, wherein The model construction module includes: A compensation coefficient determination sub-module, which is used to determine the value of the corresponding quasi-static response compensation coefficient based on the structural dynamic response data and the corresponding quasi-static response data of the target device under the target operating condition; An independent variable determination sub-module, which is used to use the ratio of the peak frequency of the motion power spectrum of the target degree of freedom of the marine transportation ship under the target operating condition to the structural fundamental frequency corresponding to the target device as the value of the independent variable of the function relationship to be fitted; A relationship fitting sub-module, which is used to fit the value of the undetermined parameter in the function relationship to be fitted based on the value of the quasi-static response compensation coefficient and the value of the independent variable of the function relationship to be fitted, so as to obtain the function relationship between the quasi-static response compensation coefficient of the target operating condition and the peak frequency of the ship motion power spectrum.

17. The system according to claim 16, wherein The quasi-static response compensation coefficient is the ratio between the structural dynamic response data and the corresponding quasi-static response data of the target device under the target operating condition.

18. The system according to claim 16, wherein The structural response compensation model of the target device under the target operating condition is as follows: α = 0.80 + 1.52·f s / f c ; Among them, α is the quasi-static response compensation coefficient of the target device under the target operating conditions, and f s is the peak frequency of the ship motion power spectrum of the target device under the target operating conditions, and f c is the structural fundamental frequency of the target device under the target operating conditions.

19. A quasi-static analysis system for a maritime transportation device, characterized in that, It includes: A static response module, which is used to perform structural quasi-static analysis on the target device based on the ship motion power spectrum under the current operating condition of the target device, so as to obtain the quasi-static response of the target device under the current operating condition; A compensation coefficient determination module, which is used to determine the quasi-static response compensation coefficient of the target device under the current operating condition based on the spectral peak frequency of the ship motion power spectrum under the current operating condition of the target device and the structural response compensation model constructed according to any one of claims 1-8. A compensation and correction module, which is used to compensate and correct the quasi-static response of the target device under the current operating condition based on the quasi-static response compensation coefficient of the target device under the current operating condition, so as to obtain the quasi-static response analysis result of the target device under the current operating condition; Wherein, the load direction that controls the structural response of the target device under the current operating condition is the same as the fundamental frequency vibration direction.

20. The system according to claim 19, wherein The static response module is specifically used for: Determining the equivalent load corresponding to the current operating condition based on the standard deviation of the ship motion power spectrum of the target device under the current operating condition; Performing a structural quasi-static analysis on the target device based on the equivalent load corresponding to the current operating condition, so as to obtain the quasi-static response of the target device under the current operating condition.

21. An electronic device, characterized in that, It includes: At least one processor and a memory; The memory and the processor are connected by a bus; The memory is used to store one or more programs; When the one or more programs are executed by the at least one processor, the method described in any one of claims 1 to 10 is implemented.

22. A readable storage medium, characterized in that, There is an execution program stored thereon, and when the execution program is executed, the method described in any one of claims 1 to 10 is implemented.

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