A method for determining dynamic response characteristics of power equipment under damage state
By obtaining the structural damping ratio and bending stiffness ratio of power equipment, and combining them with seismic acceleration, the natural frequency and dynamic response characteristics are determined. This solves the problem that the differences in equipment were not considered in traditional reinforcement measures, achieves refined reinforcement, and improves the seismic performance of the equipment.
Patent Information
- Application Number
- CN202510023895.9
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2025-01-07
- Publication Date
- 2025-11-25
- Estimated Expiration
- 2045-01-07
AI Technical Summary
Traditional reinforcement measures fail to fully consider the differences between electrical equipment, resulting in limited seismic performance. Existing technologies lack methods for solving dynamic response characteristics under seismic damage conditions.
By obtaining the structural damping ratio and bending stiffness ratio of power equipment, and combining them with external ground motion acceleration, the natural frequency and dynamic response characteristics are determined, and different damage states are simulated to implement refined reinforcement.
Optimize structural layout and material selection to improve the seismic performance of equipment and reduce the amplitude and extent of earthquake vibration.
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Figure CN119915462B_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The present application relates to the technical field of power systems, and particularly relates to a method for determining dynamic response characteristics of power equipment in a damage state. BACKGROUND
[0002] In geographical regions where earthquakes frequently occur, the safe and stable operation of power facilities is of great importance. Traditional reinforcement measures often use a unified method to protect various types of power equipment. Although these measures have improved the seismic resistance of these devices to some extent, there are still several problems. First, the complexity and uncertainty of earthquakes result in different stress distributions and damage modes for different types of power equipment. Second, the traditional unified reinforcement method does not fully consider the differences between devices and ignores the different damages that may be caused on specific types of power equipment. These differences mean that a simple reinforcement measure may not effectively improve the seismic performance of all devices, resulting in limited overall seismic efficiency.
[0003] Further research has found that the dynamic response characteristics of power equipment in a seismic damage state can be used as a basis for reinforcement of corresponding power equipment. By accurately analyzing the dynamic response characteristics (i.e., acceleration response, velocity response, and displacement response) of each type of power equipment under seismic action, fine reinforcement for different equipment can be achieved, thereby effectively improving the seismic performance of the equipment.
[0004] However, current technology has not provided a method for solving dynamic response characteristics in a seismic damage state. SUMMARY
[0005] Therefore, it is necessary to propose a method for determining the dynamic response characteristics of power equipment in a damage state to address the above problems, so that fine reinforcement can be implemented for different equipment, thereby optimizing the structural layout and material selection, improving the seismic performance of the equipment, and reducing the vibration amplitude and damage degree of the equipment in an earthquake.
[0006] To achieve the above purpose, in a first aspect, the present application provides a method for determining the dynamic response characteristics of power equipment in a damage state, the method comprising:
[0007] obtaining the structural damping ratio and the jth bending stiffness ratio of the power equipment, and the ground motion acceleration at the jth time and the ground motion acceleration at the j+1th time input from the outside, wherein the bending stiffness ratio is the ratio between the crack bending stiffness and the undamaged bending stiffness;
[0008] determining the natural frequency according to the jth bending stiffness ratio;
[0009] determine an acceleration increment, a velocity increment and a displacement increment according to the natural frequency, the structural damping ratio, the ground motion acceleration at the jth moment and the ground motion acceleration at the j+1th moment;
[0010] determine an acceleration response at the j+1th moment, a velocity response at the j+1th moment and a displacement response at the j+1th moment according to the acceleration increment, the velocity increment and the displacement increment;
[0011] wherein j takes an integer greater than 0 in sequence until equal to the total number of the bending stiffness ratios, so as to obtain the acceleration response, the velocity response and the displacement response corresponding to different bending stiffness ratios.
[0012] Optionally, the determining the natural frequency according to the jth bending stiffness ratio comprises:
[0013] obtain a structural length, a structural cross-section height, a structural mass and a non-damage bending stiffness of the power equipment;
[0014] determine a relative crack depth according to the structural length, the structural cross-section height and the jth bending stiffness ratio;
[0015] determine a crack depth according to the relative crack depth and the structural cross-section height;
[0016] determine the natural frequency according to the crack depth, the structural mass and the non-damage bending stiffness.
[0017] Optionally, the determining the relative crack depth according to the structural length, the structural cross-section height and the jth bending stiffness ratio comprises:
[0018] determine the relative crack depth by using a formula
[0019] wherein η j is the bending stiffness ratio at the jth moment, L is the structural length, π is a circular constant, h is the structural cross-section height, v is a Poisson's ratio, ζ j is the relative crack depth.
[0020] Optionally, the determining the crack depth according to the relative crack depth and the structural cross-section height comprises:
[0021] determine the crack depth by using a formula a j =ζ j h;
[0022] the determining the natural frequency according to the crack depth, the structural mass and the non-damage bending stiffness comprises:
[0023] determine the natural frequency by using a formula ;
[0024] wherein a j is the crack depth, ζ j is the relative crack depth, h is the structure cross-section height, ω j is the natural frequency, EI is the un-damaged bending stiffness, and m is the structure mass.
[0025] Optionally, the determining the acceleration increment, the velocity increment and the displacement increment according to the natural frequency, the structure damping ratio, the ground motion acceleration at the jth moment and the ground motion acceleration at the (j+1)th moment comprises:
[0026] obtaining the acceleration response at the jth moment, the velocity response at the jth moment and the displacement response at the jth moment;
[0027] determining the ground motion acceleration increment according to the ground motion acceleration at the jth moment and the ground motion acceleration at the (j+1)th moment;
[0028] determining the acceleration increment according to the ground motion acceleration increment, the acceleration response at the jth moment, the velocity response at the jth moment, the natural frequency and the structure damping ratio;
[0029] determining the velocity increment according to the acceleration increment and the acceleration response at the jth moment;
[0030] determining the displacement increment according to the acceleration increment, the acceleration response at the jth moment and the velocity response at the jth moment.
[0031] Optionally, the determining the acceleration increment according to the ground motion acceleration increment, the acceleration response at the jth moment, the velocity response at the jth moment, the natural frequency and the structure damping ratio comprises:
[0032] determining the acceleration increment by using the formula
[0033] determining the velocity increment according to the acceleration increment and the acceleration response at the jth moment comprises:
[0034] determining the initial acceleration response by using the formula
[0035] determining the displacement increment according to the acceleration increment, the acceleration response at the jth moment and the velocity response at the jth moment comprises:
[0036] determining the initial acceleration response by using the formula
[0037] wherein, is the acceleration increment, is the seismic acceleration increment, ξ is the structural damping ratio, ω j is the natural frequency, is the acceleration response at the jth moment, Δt is a time change amount from the jth moment to the (j+1)th moment, is the velocity response at the jth moment, α is a first preset acceleration change parameter, is the velocity increment, Δv j is the displacement increment, β is a second preset acceleration change parameter.
[0038] Optionally, the method further comprises:
[0039] in the case of j=1, obtaining an initial velocity response and an initial displacement response of the power equipment;
[0040] taking the initial velocity response as the velocity response at the jth moment, and taking the initial displacement response as the displacement response at the jth moment;
[0041] determining the acceleration response at the jth moment according to the velocity response at the jth moment, the displacement response at the jth moment, the natural frequency, the structural damping ratio and the seismic acceleration at the jth moment.
[0042] Optionally, the determining the acceleration response at the jth moment according to the velocity response at the jth moment, the displacement response at the jth moment, the natural frequency, the structural damping ratio and the seismic acceleration at the jth moment comprises:
[0043] determining the acceleration response at the jth moment by using the formula
[0044] wherein, is the acceleration response at the jth moment, is the seismic acceleration at the jth moment, ξ is the structural damping ratio, ω j is the natural frequency, is the velocity response at the jth moment, v j is the displacement response at the jth moment.
[0045] Optionally, the determining the acceleration response at the jth moment according to the velocity response at the jth moment, the displacement response at the jth moment, the natural frequency, the structural damping ratio and the seismic acceleration at the jth moment comprises:
[0046] determining the acceleration response at the jth moment according to the acceleration response at the jth moment and the acceleration increment;
[0047] determining the velocity response at the jth moment according to the velocity response at the jth moment and the velocity increment;
[0048] The displacement response at the j+1 moment is determined according to the displacement response at the j moment and the displacement increment.
[0049] Optionally, the jth bending stiffness ratio of the power equipment is obtained, including:
[0050] Within a preset range, the bending stiffness ratio between the crack bending stiffness and the undamaged bending stiffness of the power equipment is adjusted by a preset step length to obtain a plurality of different bending stiffness ratios to form a bending stiffness ratio sequence;
[0051] The jth bending stiffness ratio is obtained in the bending stiffness ratio sequence.
[0052] To achieve the above object, the present application provides a device for determining dynamic response characteristics of power equipment in a damage state in a second aspect, and the device comprises:
[0053] The obtaining module is configured to obtain the structural damping ratio and the jth bending stiffness ratio of the power equipment, and the jth moment and the j+1 moment of the seismic ground acceleration input from the outside, wherein the bending stiffness ratio is the ratio between the crack bending stiffness and the undamaged bending stiffness;
[0054] The frequency determining module is configured to determine the natural frequency according to the jth bending stiffness ratio;
[0055] The increment determining module is configured to determine the acceleration increment, the velocity increment and the displacement increment according to the natural frequency, the structural damping ratio, the jth moment and the j+1 moment of the seismic ground acceleration;
[0056] The response determining module is configured to determine the acceleration response at the j+1 moment, the velocity response at the j+1 moment and the displacement response at the j+1 moment according to the acceleration increment, the velocity increment and the displacement increment;
[0057] Wherein, j takes an integer greater than 0 in sequence until equal to the total number of the bending stiffness ratio, to obtain the acceleration response, the velocity response and the displacement response corresponding to different bending stiffness ratios.
[0058] To achieve the above object, the present application provides a computer readable storage medium in a third aspect, which stores a computer program, and the computer program is executed by a processor to make the processor execute the method in any one of the first aspect.
[0059] To achieve the above object, the present application provides a computer device in a fourth aspect, which comprises a memory and a processor, and the memory stores a computer program, and the computer program is executed by the processor to make the processor execute the method in any one of the first aspect.
[0060] The embodiment of the present application has the following beneficial effects: the method obtains the structural damping ratio and the jth anti-bending stiffness ratio of the power equipment, and the ground motion acceleration at the jth moment and the ground motion acceleration at the j+1th moment inputted from outside, wherein the anti-bending stiffness ratio is the ratio between the crack anti-bending stiffness and the undamaged anti-bending stiffness, then determines the natural frequency according to the jth anti-bending stiffness ratio, determines the acceleration increment, the velocity increment and the displacement increment according to the natural frequency, the structural damping ratio, the ground motion acceleration at the jth moment and the ground motion acceleration at the j+1th moment, and finally determines the acceleration response at the j+1th moment, the velocity response at the j+1th moment and the displacement response at the j+1th moment according to the acceleration increment, the velocity increment and the displacement increment, wherein j is an integer greater than 0 and is equal to the total number of the anti-bending stiffness ratio until the anti-bending stiffness ratio, so as to obtain the acceleration response, the velocity response and the displacement response corresponding to different anti-bending stiffness ratios; that is, the different damage states of the power equipment caused by the earthquake are simulated by using different anti-bending stiffness ratios, then the natural frequency is determined based on the different damage states, and the dynamic response characteristics corresponding to the different damage states of the power equipment caused by the earthquake are determined in combination with the structural damping ratio, the ground motion acceleration at the jth moment and the ground motion acceleration at the j+1th moment inputted from outside, so that the different equipment can be reinforced in detail, thereby optimizing the structural layout and material selection, improving the anti-seismic performance of the equipment, and reducing the vibration amplitude and damage degree of the equipment in the earthquake. BRIEF DESCRIPTION OF DRAWINGS
[0061] In order to more clearly illustrate the technical solutions in the embodiments of the present application or the prior art, the following will briefly introduce the drawings needed to be used in the embodiments or the prior art description. Obviously, the drawings in the following description are only some embodiments of the present application, and other drawings can also be obtained by those skilled in the art without any creative effort.
[0062] Wherein:
[0063] Figure 1 A schematic diagram of a method for determining the dynamic response characteristics of the power equipment in a damage state in the embodiment of the present application;
[0064] Figure 2 A schematic diagram of a device for determining the dynamic response characteristics of the power equipment in a damage state in the embodiment of the present application;
[0065] Figure 3 An internal structure diagram of a computer device in some embodiments. DETAILED DESCRIPTION
[0066] With reference to the drawings of the embodiments of the present application, the technical solutions in the embodiments of the present application will be clearly and completely described, obviously, the described embodiments are only a part of the embodiments of the present application, rather than all the embodiments. Based on the embodiments of the present application, all other embodiments obtained by a person of ordinary skill in the art without creative labor fall within the protection scope of the present application.
[0067] In geographical areas where earthquakes frequently occur, the safe and stable operation of power facilities is of great importance. Traditional reinforcement measures often use a unified method to protect various types of power equipment. Although these measures improve the seismic resistance of these devices to some extent, they still have the following problems: First, the complexity and uncertainty of earthquakes result in different stress distributions and damage modes for different types of power equipment during shaking. Second, the traditional unified reinforcement method does not fully consider the differences between devices and ignores the different damages that may be caused on specific types of power equipment. These differences mean that a simple reinforcement measure may not effectively improve the seismic performance of all devices, resulting in limited overall seismic efficiency.
[0068] Further research has found that the dynamic response characteristics of the power equipment solved in the earthquake damage state can be used as the basis for reinforcement of the corresponding power equipment. By accurately analyzing the dynamic response characteristics (i.e., acceleration response, velocity response, and displacement response) of each type of power equipment under the action of earthquakes, fine reinforcement for different equipment can be achieved, thereby effectively improving the seismic performance of the equipment.
[0069] However, the current technology has not provided a method for solving the dynamic response characteristics in the earthquake damage state.
[0070] To solve the above problems, the present application provides a method for determining the dynamic response characteristics of power equipment in a damage state, which allows for fine reinforcement of different equipment, thereby optimizing the structural layout and material selection, improving the seismic performance of the equipment, and reducing the vibration amplitude and damage degree of the equipment in an earthquake. The specific implementation principle will be described in detail in the following embodiments.
[0071] In a first aspect, the present application provides a method for determining the dynamic response characteristics of power equipment in a damage state.
[0072] Please refer to Figure 1 , a schematic diagram of a method for determining the dynamic response characteristics of power equipment in a damage state according to an embodiment of the present application, which comprises:
[0073] Step 110: Obtain the structural damping ratio and the jth bending stiffness ratio of the power equipment, as well as the input seismic acceleration at the jth moment and the seismic acceleration at the j+1th moment, wherein the bending stiffness ratio is the ratio between the crack bending stiffness and the undamaged bending stiffness.
[0074] Wherein, the structural damping ratio is a relative quantity describing the speed of energy dissipation of the structure in the vibration process; the bending stiffness (also referred to as the flexural stiffness) refers to the ability of the structure to resist deformation when subjected to a bending force, and the crack bending stiffness refers to the ability of the power equipment to resist deformation when subjected to a bending force after the occurrence of crack damage, and the undamaged bending stiffness refers to the ability of the power equipment to resist deformation when subjected to a bending force before the occurrence of crack damage; the ground motion acceleration is an external input value corresponding to the bending stiffness ratio, and is used to simulate the vibration acceleration of the earthquake, which can be determined and set in advance by the operator according to a large amount of experience, experiments or statistics.
[0075] It should be noted that the present application finds that the damage caused by the earthquake to the power equipment is reflected in the crack damage, and different crack damage will cause the bending stiffness of the power equipment to change, therefore, in order to simulate different damage states of the power equipment caused by the earthquake, the present application uses different bending stiffness ratios of the power equipment to simulate different damage states of the power equipment caused by the earthquake.
[0076] Step 120: determining the natural frequency according to the jth bending stiffness ratio.
[0077] Wherein, the natural frequency refers to the vibration frequency of the power equipment.
[0078] It should be noted that the bending stiffness ratio is used to simulate different damage states of the power equipment caused by the earthquake, and the natural frequency of the power equipment under different damage states is different, therefore, in some embodiments, after obtaining the bending stiffness ratio, the relationship between the bending stiffness ratio and the natural frequency can be used to determine the natural frequency according to the bending stiffness ratio.
[0079] Step 130: determining the acceleration increment, the velocity increment and the displacement increment according to the natural frequency, the structural damping ratio, the ground motion acceleration at the jth moment and the ground motion acceleration at the (j+1)th moment.
[0080] It should be noted that the natural frequency represents the vibration frequency of the power equipment, and the structural damping ratio represents the energy dissipation speed of the power equipment in the vibration process, both of which affect the acceleration, velocity and displacement of the power equipment, and since the simulation is of the damage caused by the earthquake to the power equipment, the acceleration, velocity and displacement of the power equipment are also affected by the vibration acceleration of the earthquake, therefore, in some embodiments, the increments of the acceleration, velocity and displacement can be determined in combination with the natural frequency, the structural damping ratio and the vibration acceleration between the adjacent two moments of the earthquake.
[0081] Step 140: determining the acceleration response at the j+1 moment, the speed response at the j+1 moment and the displacement response at the j+1 moment according to the acceleration increment, the speed increment and the displacement increment.
[0082] wherein j takes integer values greater than 0 in turn until equal to the total number of the bending stiffness ratios, so as to obtain the acceleration response, the speed response and the displacement response corresponding to different bending stiffness ratios.
[0083] It should be particularly pointed out that the method of the present application can be performed for each power equipment to obtain the acceleration response, the speed response and the displacement response corresponding to different bending stiffness ratios, which represent different damage states of the simulated power equipment caused by the earthquake. Therefore, the acceleration response, the speed response and the displacement response corresponding to different bending stiffness ratios obtained by the present application are also the acceleration response, the speed response and the displacement response under different damage states.
[0084] In the embodiments of the present application, different damage states of the power equipment caused by the earthquake are simulated by using different bending stiffness ratios, then the natural frequency is determined based on the different damage states, and the dynamic response characteristics corresponding to the different damage states of the power equipment caused by the earthquake are determined in combination with the structural damping ratio and the external input seismic acceleration, so that the different equipment can be implemented with fine reinforcement, thereby optimizing the structural layout and material selection, improving the seismic performance of the equipment, and reducing the vibration amplitude and damage degree of the equipment in the earthquake.
[0085] In addition, the present application includes the following advantages, but is not limited to: by subdividing different damage states through different bending stiffness ratios, more suitable seismic measures can be configured for each type of power equipment; by accurately simulating the dynamic response characteristics under the action of the earthquake, the vibration amplitude of the equipment in the earthquake can be effectively controlled; compared with the traditional one-size-fits-all reinforcement method, the method of the present application is more efficient and economical.
[0086] In a possible implementation manner, step 120 in the above-mentioned embodiments, determining the natural frequency according to the jth bending stiffness ratio, comprises: obtaining the structural length, the structural cross-section height, the structural mass and the undamaged bending stiffness of the power equipment; determining the relative crack depth according to the structural length, the structural cross-section height and the jth bending stiffness ratio; determining the crack depth according to the relative crack depth and the structural cross-section height; and determining the natural frequency according to the crack depth, the structural mass and the undamaged bending stiffness.
[0087] wherein the relative crack depth refers to the ratio between the crack depth and the structural cross-section height.
[0088] It should be noted that the crack depth is the crack damage of the power equipment caused by the earthquake, and the damage state of the power equipment caused by the earthquake is affected by the structural length and the structural cross-section height of the power equipment, and the bending stiffness ratio is simulated to simulate the damage state of the power equipment caused by the earthquake, so in some embodiments, the relative crack depth can be determined according to the structural length, the structural cross-section height and the bending stiffness ratio by using the relationship between the crack depth, the structural length, the structural cross-section height and the bending stiffness ratio.
[0089] In the embodiments of the present application, by obtaining the structural length, the structural cross-section height, the structural mass and the undamaged bending stiffness of the power equipment, and then determining the natural frequency according to these parameters, the vibration characteristics of the power equipment under different damage states can be more accurately reflected, that is, the accuracy of the natural frequency determination can be improved, thereby providing a scientific basis for subsequent fine reinforcement and further optimizing the seismic performance of the power equipment.
[0090] In a feasible implementation manner, the relative crack depth is determined according to the structural length, the structural cross-section height and the jth bending stiffness ratio in the above-mentioned embodiments, comprising:
[0091] The relative crack depth is determined by using the formula
[0092] Wherein, η j is the bending stiffness ratio at the jth moment, L is the structural length, π is the circular constant, h is the structural cross-section height, v is the Poisson's ratio, ζ j is the relative crack depth.
[0093] In the embodiments of the present application, a rigorous calculation formula of the relative crack depth is provided from the mathematical point of view, and the accuracy of the calculated relative crack depth can be ensured from the rigor of the mathematical logic, and the above-mentioned calculation formula is preferably shown so as to provide reference, understanding and calculation for technicians.
[0094] In addition, the relative crack depth can be determined by using the calculation formula of the relative crack depth provided in the above-mentioned embodiments, so as to more accurately reflect the vibration characteristics of the power equipment under different damage states, thereby improving the accuracy of the natural frequency determination.
[0095] It can be understood that the calculation formula provided in the present application can make the calculation process more scientific and systematic, and can more accurately predict the vibration frequency of the power equipment under different damage states, thereby providing more reliable data support for subsequent fine reinforcement measures and further optimizing the seismic performance of the power equipment.
[0096] In a feasible implementation manner, the crack depth is determined according to the relative crack depth and the structural cross-section height in the above-mentioned embodiments, comprising:
[0097] The formula a j =ζ j h determines the crack depth;
[0098] The determination of the natural frequency according to the crack depth, the structural mass and the undamaged bending stiffness in the above embodiment comprises:
[0099] The formula is used to determine the natural frequency;
[0100] Wherein, a j is the crack depth, ζ j is the relative crack depth, h is the structural section height, ω j is the natural frequency, EI is the undamaged bending stiffness, and m is the structural mass.
[0101] In the embodiments of the present application, the rigorous crack depth and natural frequency calculation formula is provided from the mathematical point of view, and the accuracy of the calculated crack depth and natural frequency can be ensured from the mathematical logic rigor. The above calculation formula is preferably shown so as to provide reference, understanding and calculation for technicians.
[0102] In addition, the crack depth and natural frequency are determined by using the crack depth and natural frequency calculation formula provided in the above embodiments, which can more accurately reflect the vibration characteristics of the power equipment under different damage states, thereby improving the accuracy of the natural frequency determination.
[0103] In a feasible implementation manner, the step 130 in the above embodiment, the determination of the acceleration increment, the velocity increment and the displacement increment according to the natural frequency, the structural damping ratio, the ground motion acceleration at the jth moment and the ground motion acceleration at the j+1th moment comprises: obtaining the acceleration response at the jth moment, the velocity response at the jth moment and the displacement response at the jth moment; determining the ground motion acceleration increment according to the ground motion acceleration at the jth moment and the ground motion acceleration at the j+1th moment; determining the acceleration increment according to the ground motion acceleration increment, the acceleration response at the jth moment, the velocity response at the jth moment, the natural frequency and the structural damping ratio; determining the velocity increment according to the acceleration increment and the acceleration response at the jth moment; and determining the displacement increment according to the acceleration increment, the acceleration response at the jth moment and the velocity response at the jth moment.
[0104] In the embodiments of the present application, by introducing the acceleration response at the jth moment, the speed response at the jth moment and the displacement response at the jth moment, and combining the natural frequency, the structural damping ratio, the ground motion acceleration at the jth moment and the ground motion acceleration at the j+1th moment, the acceleration increment, the speed increment and the displacement increment are calculated by using accurate calculation and reasonable step arrangement, so that the determination of the dynamic response characteristics of the power equipment is more accurate, and the seismic reinforcement effect is improved.
[0105] In a feasible implementation manner, the determination of the acceleration increment according to the ground motion acceleration increment, the acceleration response at the jth moment, the speed response at the jth moment, the natural frequency and the structural damping ratio in the above-mentioned embodiments comprises:
[0106] The acceleration increment is determined by using the formula
[0107] The determination of the speed increment according to the acceleration increment and the acceleration response at the jth moment in the above-mentioned embodiments comprises:
[0108] The initial acceleration response is determined by using the formula
[0109] The determination of the displacement increment according to the acceleration increment, the acceleration response at the jth moment and the speed response at the jth moment in the above-mentioned embodiments comprises:
[0110] The initial acceleration response is determined by using the formula
[0111] Wherein, is the acceleration increment, is the ground motion acceleration increment, ξ is the structural damping ratio, ω j is the natural frequency, is the acceleration response at the jth moment, Δt is the time change from the jth moment to the j+1th moment, is the speed response at the jth moment, α is the first preset acceleration change parameter, is the speed increment, Δv j is the displacement increment, β is the second preset acceleration change parameter.
[0112] It should be noted that the first preset acceleration change parameter and the second preset acceleration change parameter can be obtained by the operation personnel according to a large amount of experience, experiments or statistics and are pre-set.
[0113] In some embodiments, the present application can preferably set the first preset acceleration change parameter as The second preset acceleration change parameter is set as or
[0114] In the embodiments of the present application, the calculation formulas of the acceleration increment, the velocity increment and the displacement increment are provided from the mathematical point of view. The accuracy of the calculated acceleration increment, the velocity increment and the displacement increment can be ensured from the mathematical logic rigor. The above-mentioned calculation formulas are preferably shown so as to provide a reference for technicians to understand and calculate, etc.
[0115] In addition, the acceleration increment, the velocity increment and the displacement increment are determined by using the above-mentioned calculation formulas provided by the present application, so that more accurate dynamic response characteristics can be obtained, thereby guiding more efficient fine reinforcement, optimizing the structural layout and material selection of the power equipment, and enhancing the anti-seismic performance of the equipment.
[0116] Further, the formulas provided by the present application indirectly help to ensure that the power equipment can more effectively resist vibration and potential damage under a more complex seismic environment.
[0117] In a feasible implementation manner, the method in the above-mentioned embodiments further includes: in the case of j = 1, obtaining an initial velocity response and an initial displacement response of the power equipment; taking the initial velocity response as the velocity response at the jth moment and taking the initial displacement response as the displacement response at the jth moment; and determining the acceleration response at the jth moment according to the velocity response at the jth moment, the displacement response at the jth moment, the natural frequency, the structural damping ratio and the ground motion acceleration at the jth moment.
[0118] It should be noted that, since the power equipment is in a static state in the initial state, in some embodiments, the initial velocity response and the initial displacement response are both 0.
[0119] In the embodiments of the present application, by introducing the data of the initial state, it can be ensured that the program can use reasonable and accurate initial data at the beginning stage, so as to improve the overall accuracy and reliability of the algorithm, and further better support the accurate implementation of subsequent complex steps (such as calculating the acceleration increment, the velocity increment and the displacement increment).
[0120] In a feasible implementation manner, the determination of the acceleration response at the jth moment according to the velocity response at the jth moment, the displacement response at the jth moment, the natural frequency, the structural damping ratio and the ground motion acceleration at the jth moment in the above-mentioned embodiments includes:
[0121] the acceleration response at the jth moment is determined by using the formula
[0122] wherein, the acceleration response at the jth moment is the ground motion acceleration at the jth moment, and ξ is the structural damping ratio, and ωj is the self-vibration frequency, is the velocity response at the jth moment, v j is the displacement response at the jth moment.
[0123] In the embodiments of the present application, the calculation formula of the initial acceleration response is provided from the mathematical point of view, and the accuracy of the calculated initial acceleration response can be ensured from the mathematical logic rigor. The calculation formula is preferably shown so as to provide a reference for technicians to understand and calculate, etc.
[0124] In addition, the initial acceleration response is determined by using the calculation formula of the initial acceleration response provided in the embodiments of the present application, so as to ensure the data accuracy of the algorithm, thereby providing a reliable basis for subsequent periodic dynamic response feature determination and fine reinforcement measures, and further optimizing the anti-seismic performance of the power equipment.
[0125] In a feasible implementation manner, the step 140 in the above embodiments, determining the acceleration response at the j+1th moment, the velocity response at the j+1th moment and the displacement response at the j+1th moment according to the acceleration increment, the velocity increment and the displacement increment, comprises: determining the acceleration response at the j+1th moment according to the acceleration response at the jth moment and the acceleration increment; determining the velocity response at the j+1th moment according to the velocity response at the jth moment and the velocity increment; and determining the displacement response at the j+1th moment according to the displacement response at the jth moment and the displacement increment.
[0126] In the embodiments of the present application, by introducing the acceleration response, the velocity response and the displacement response at the previous moment, not only the continuity in the time sequence (i.e. the change from the jth moment to the j+1th moment) is ensured, but also the coordination between each response parameter (the acceleration response, the velocity response and the displacement response) is maintained, so as to ensure the accurate calculation of the entire dynamic response feature of the power equipment, thereby improving the overall accuracy.
[0127] In a feasible implementation manner, the step 110 in the above embodiments, acquiring the jth bending stiffness ratio of the power equipment, comprises: adjusting the bending stiffness ratio between the crack bending stiffness and the undamaged bending stiffness of the power equipment in a preset range by a preset step length to obtain a bending stiffness ratio sequence composed of multiple different bending stiffness ratios; and acquiring the jth bending stiffness ratio in the bending stiffness ratio sequence.
[0128] The preset range and the preset step length can be obtained by the operator according to a large amount of experience, experiments or statistics and pre-set.
[0129] In some embodiments, the preset range can be preferably set to [0, 1] or [0.2, 1] in the present application.
[0130] In the embodiment of the present application, by adjusting the ratio of the crack bending stiffness to the undamaged bending stiffness in the preset range by the preset step size, a more detailed damage state of the power equipment can be simulated, and the simulation result is closer to the actual situation.
[0131] In addition, the method can ensure that the bending stiffness ratio of the power equipment changes continuously under different damage states, which is beneficial to better reveal the dynamic response characteristics of the equipment when the damage degree changes, and provides support for subsequent analysis and reinforcement measures.
[0132] It can be understood that continuous data is more convenient for analysis.
[0133] The present application provides a dynamic response characteristic determination device of power equipment in a damage state in a second aspect.
[0134] Please refer to Figure 2 , a schematic diagram of a dynamic response characteristic determination device of power equipment in a damage state in an embodiment of the present application, the device 210 comprises:
[0135] The acquisition module 211 is configured to acquire the structural damping ratio and the jth bending stiffness ratio of the power equipment, and the ground motion acceleration at the jth moment and the ground motion acceleration at the j+1th moment input by the outside world, wherein the bending stiffness ratio is the ratio between the crack bending stiffness and the undamaged bending stiffness.
[0136] The frequency determination module 212 is configured to determine the natural frequency according to the jth bending stiffness ratio.
[0137] The increment determination module 213 is configured to determine the acceleration increment, the velocity increment and the displacement increment according to the natural frequency, the structural damping ratio, the ground motion acceleration at the jth moment and the ground motion acceleration at the j+1th moment.
[0138] The response determination module 214 is configured to determine the acceleration response at the j+1th moment, the velocity response at the j+1th moment and the displacement response at the j+1th moment according to the acceleration increment, the velocity increment and the displacement increment.
[0139] Wherein, j takes an integer greater than 0 in turn until equal to the total number of the bending stiffness ratio, so as to obtain the acceleration response, the velocity response and the displacement response corresponding to different bending stiffness ratios.
[0140] In the embodiment of the present application, the related content of the above-mentioned acquisition module 211, frequency determination module 212, increment determination module 213 and response determination module 214 can be referred to the content in the embodiment shown in Figure 1 , which will not be repeated here.
[0141] It should be noted that the device 210 of the present application also includes some other modules, and it can be understood that the method of the present application has a one-to-one correspondence with the device 210, and therefore some other modules of the device 210 of the present application are the corresponding contents of the method of the present application in the above embodiments.
[0142] In the embodiments of the present application, different damage states of the power equipment caused by the earthquake are simulated by using different bending stiffness ratios, then the natural frequency is determined based on the different damage states, and the dynamic response characteristics corresponding to the different damage states of the power equipment caused by the earthquake are determined in combination with the structural damping ratio and the input ground motion acceleration, so that the different equipment can be implemented with fine reinforcement, thereby optimizing the structural layout and material selection, improving the seismic performance of the equipment, and reducing the vibration amplitude and damage degree of the equipment in the earthquake.
[0143] In addition, the present application includes the following advantages, but is not limited to: by subdividing different damage states through different bending stiffness ratios, more suitable seismic measures can be configured for each type of power equipment; by accurately simulating the dynamic response characteristics under the action of the earthquake, the vibration amplitude of the equipment in the earthquake can be effectively controlled; compared with the traditional one-size-fits-all reinforcement method, the method of the present application is more efficient and economical.
[0144] In a third aspect, the present application further provides a computer-readable storage medium, which stores a computer program. The computer program is executed by a processor to make the processor execute the method for determining the dynamic response characteristics of the power equipment in a damage state in the above method embodiments.
[0145] In a fourth aspect, the present application further provides a computer device, which includes a memory and a processor. The memory stores a computer program. The computer program is executed by the processor to make the processor execute the method for determining the dynamic response characteristics of the power equipment in a damage state in the above method embodiments.
[0146] Figure 3 The internal structure diagram of the computer device in some embodiments is shown. The computer device can be a terminal, a server, or a gateway. As shown in the figure, the computer device includes a processor, a memory, and a network interface connected through a system bus. Figure 3
[0147] The memory includes a non-volatile storage medium and an internal memory. The non-volatile storage medium of the computer device stores an operating system and can also store a computer program. The computer program is executed by the processor to make the processor implement each step in the above method embodiments. The internal memory can also store a computer program. The computer program is executed by the processor to make the processor execute each step in the above method embodiments. Those skilled in the art can understand that the computer program can be stored in the non-volatile storage medium or the internal memory, or both.Figure 3 The structure shown in the figure is only a block diagram of part of the structure related to the scheme of the present application, and does not constitute a limitation on the computer device to which the scheme of the present application is applied. The specific computer device can include more or fewer components than those shown in the figure, or combine certain components, or have a different arrangement of components.
[0148] Those skilled in the art can understand that all or part of the processes in the above-mentioned embodiments can be completed by instructing the relevant hardware through a computer program. The program can be stored in a non-volatile computer readable storage medium, and when the program is executed, it can include the processes of the above-mentioned embodiments of the method.
[0149] Any reference to memory, storage, database, or other medium used in the embodiments provided by the present application can include non-volatile and / or volatile memory. Non-volatile memory can include read-only memory (ROM), programmable ROM (PROM), electrically programmable ROM (EPROM), electrically erasable programmable ROM (EEPROM), or flash memory. Volatile memory can include random access memory (RAM) or external cache memory. As an illustration but not limitation, RAM is available in various forms, such as static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), double data rate SDRAM (DDR SDRAM), enhanced SDRAM (ESDRAM), synchronous link (Synch link) DRAM (SLDRAM), memory bus (Rambus) direct RAM (RDRAM), direct memory bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM), etc.
[0150] The technical features of the above embodiments can be combined in any way. In order to make the description concise, not all possible combinations of the technical features in the above embodiments are described, but as long as the combination of the technical features does not exist contradictory, it should be considered as the scope of the present application.
[0151] The above embodiments only express several implementation manners of the present application, and the description is more specific and detailed, but it should not be understood as a limitation on the scope of the patent of the present application. It should be noted that for ordinary skilled in the art, without departing from the concept of the present application, a number of modifications and improvements can be made, which are within the scope of protection of the present application. Therefore, the scope of protection of the patent of the present application should be subject to the appended claims.
Claims
1. A method for determining the dynamic response characteristics of electrical equipment under damaged conditions, characterized in that, The method includes: Obtain the j-th bending stiffness ratio in the sequence of structural damping ratio and bending stiffness ratio of power equipment, as well as the seismic acceleration at time j and time j+1 input from the outside, where the bending stiffness ratio is the ratio between crack bending stiffness and undamaged bending stiffness. The natural frequency is determined based on the j-th bending stiffness ratio; The acceleration increment, velocity increment, and displacement increment are determined based on the natural frequency, the structural damping ratio, the seismic acceleration at time j, and the seismic acceleration at time j+1. The acceleration response, velocity response, and displacement response at time j+1 are determined based on the acceleration increment, velocity increment, and displacement increment. Wherein, j takes the values of integers greater than 0 in sequence until it is equal to the total number of bending stiffness ratios in the bending stiffness ratio sequence, so as to obtain the acceleration response, velocity response and displacement response corresponding to different bending stiffness ratios.
2. The method according to claim 1, characterized in that, The determination of the natural frequency based on the j-th bending stiffness ratio includes: Obtain the structural length, structural section height, structural mass, and non-damage bending stiffness of the power equipment; The relative crack depth is determined based on the structure length, the structure section height, and the j-th bending stiffness ratio; The crack depth is determined based on the relative crack depth and the structural cross-sectional height; The natural frequency is determined based on the crack depth, the structural mass, and the undamaged bending stiffness.
3. The method according to claim 2, characterized in that, The step of determining the relative crack depth based on the structural length, the structural section height, and the j-th bending stiffness ratio includes: Using formula Determine the relative crack depth; Where, η j Let L be the j-th bending stiffness ratio, L be the length of the structure, π be pi, h be the height of the structure section, v be Poisson's ratio, and ζ be the circumference of ... j The relative crack depth is given.
4. The method according to claim 2, characterized in that, Determining the crack depth based on the relative crack depth and the structural cross-sectional height includes: Using formula a j =ζ j h determines the crack depth; Determining the natural frequency based on the crack depth, the structural mass, and the undamaged bending stiffness includes: Using formula Determine the natural frequency; Among them, a j Let ζ be the crack depth. j The relative crack depth is h, the structural cross-sectional height is h, and ω is ω. j The natural frequency is EI, the non-damaging bending stiffness is EI, and the structural mass is m.
5. The method according to claim 1, characterized in that, The determination of acceleration increment, velocity increment, and displacement increment based on the natural frequency, the structural damping ratio, the seismic acceleration at time j, and the seismic acceleration at time j+1 includes: Obtain the acceleration response, velocity response, and displacement response at time j; The seismic acceleration increment is determined based on the seismic acceleration at time j and the seismic acceleration at time j+1. The acceleration increment is determined based on the seismic acceleration increment, the acceleration response at time j, the velocity response at time j, the natural frequency, and the structural damping ratio. The velocity increment is determined based on the acceleration increment and the acceleration response at time j; The displacement increment is determined based on the acceleration increment, the acceleration response at time j, and the velocity response at time j.
6. The method according to claim 5, characterized in that, The step of determining the acceleration increment based on the seismic acceleration increment, the acceleration response at time j, the velocity response at time j, the natural frequency, and the structural damping ratio includes: Using formula Determine the acceleration increment; Determining the velocity increment based on the acceleration increment and the acceleration response at time j includes: Using formula Determine the speed increment; Determining the displacement increment based on the acceleration increment, the acceleration response at time j, and the velocity response at time j includes: Using formula Determine the displacement increment; in, For the acceleration increment, Let ξ be the seismic acceleration increment, ξ be the structural damping ratio, and ω be the structural damping ratio. j The natural frequency is... Let be the acceleration response at time j, and Δt be the time change from time j to time j+1. Let be the velocity response at time j, and α be the first preset acceleration change parameter. For the velocity increment, Δv j Let β be the displacement increment, and let β be the second preset acceleration change parameter.
7. The method according to claim 5, characterized in that, The method further includes: When j=1, obtain the initial velocity response and initial displacement response of the power equipment; The initial velocity response is taken as the velocity response at time j, and the initial displacement response is taken as the displacement response at time j. The acceleration response at time j is determined based on the velocity response at time j, the displacement response at time j, the natural frequency, the structural damping ratio, and the seismic acceleration at time j.
8. The method according to claim 7, characterized in that, The determination of the acceleration response at time j based on the velocity response at time j, the displacement response at time j, the natural frequency, the structural damping ratio, and the seismic acceleration at time j includes: Using formula Determine the acceleration response at time j; in, Let j be the acceleration response at time j. Let ω be the seismic acceleration at time j, ξ be the damping ratio of the structure, and ω be the ground motion acceleration at time j. j The natural frequency is... Let v be the velocity response at time j. j Let be the displacement response at time j.
9. The method according to claim 4, characterized in that, Determining the acceleration response, velocity response, and displacement response at time j+1 based on the acceleration increment, velocity increment, and displacement increment includes: The acceleration response at time j+1 is determined based on the acceleration response at time j and the acceleration increment. The velocity response at time j+1 is determined based on the velocity response at time j and the velocity increment. The displacement response at time j+1 is determined based on the displacement response at time j and the displacement increment.
10. The method according to claim 1, characterized in that, The method further includes: Within a preset range, the bending stiffness ratio between the crack bending stiffness and the undamaged bending stiffness of the power equipment is adjusted incrementally by a preset step size to obtain multiple different bending stiffness ratios that form the bending stiffness ratio sequence.
Citation Information
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