Method and device for generating equivalent static force of seismic response spectrum of marine engineering structures

Abstract

The present invention provides a method and device for generating equivalent static force of seismic response spectrum of marine engineering structure, which relates to the technical field of seismic analysis of marine engineering structure, including: establishing a main finite element model and a nonlinear pile pipe structure finite element model of the marine engineering structure according to building data, and performing nonlinear static analysis processing by presetting a static reduction method model to reduce the stiffness matrix and mass matrix of the nonlinear pile pipe structure and determine the pile head super unit finite element model; combining the main finite element model and the pile head super unit finite element model to determine the target model, and performing modal analysis processing on the target model by inputting the seismic response acceleration spectrum in the horizontal direction into the target model to determine the seismic equivalent static force in the specified direction. The present invention accurately calculates the seismic equivalent static force of the marine engineering structure based on the modal response, which can significantly improve the safety and stability of the marine engineering structure under the action of earthquake.

Description

Technical Field

[0001] The present invention relates to the technical field of seismic analysis of marine engineering structures, and in particular to a method and a device for generating equivalent static force of seismic response spectrum of marine engineering structures. Background Art

[0002] Marine engineering structures include oil and gas production platforms, offshore wind farms, oil pipelines and other facilities and building structures. Compared with onshore building structures, offshore structures such as oil and gas production platforms, offshore wind farms, and jackets are installed on sandy or soft seabed structures. They have greater flexibility and dynamic characteristics and are more significantly affected by seismic loads. Therefore, accurate seismic response analysis and evaluation are required.

[0003] At present, relevant technologies have proposed that the bottom shear method, response spectrum method or time history method can be used for earthquake analysis, but the bottom shear method is a simplified method, which is generally used in the design of ground building structures with low height and regular shape; the time history method is a nonlinear transient analysis method, which is complex and costly to calculate; the traditional response spectrum method needs to be calculated based on the modal array superposition method. Since the superposition principle requires the system to be linear, this method is only applicable to linear systems, and the final result is the response amplitude of the system, without considering the spatial directional characteristics and other load conditions. Summary of the invention

[0004] In view of this, the purpose of the present invention is to provide a method and device for generating equivalent statics of the seismic response spectrum of a marine engineering structure, which can accurately calculate the seismic equivalent statics of the marine engineering structure based on the modal response, and can significantly improve the safety and stability of the marine structure under earthquake action.

[0005] In a first aspect, an embodiment of the present invention provides a method for generating an equivalent static force of a seismic response spectrum of an offshore engineering structure, the method comprising: obtaining architectural data and a nonlinear soil foundation structure of an offshore structure to be established, wherein the offshore structure is divided into an upper linear main structure and a lower nonlinear pile pipe structure with a pile head point as a boundary, the nonlinear pile pipe structure is a portion of the offshore structure located in a soil layer and affected by the nonlinear soil foundation structure, and the pile head point is a contact point between the offshore structure and the soil layer; establishing a main finite element model of the offshore structure and a nonlinear pile pipe structure finite element model according to the architectural data, and by presetting a static reduction method model, Based on the main finite element model and the nonlinear pile-pipe structure finite element model, nonlinear static analysis is performed to condense the stiffness matrix and mass matrix of the nonlinear pile-pipe structure and determine the pile head super-unit finite element model; the main finite element model and the pile head super-unit finite element model are combined to determine the target model, and by inputting the horizontal seismic response acceleration spectrum into the target model, the modal analysis of the target model is performed to determine the seismic equivalent static force in the specified direction, so as to use the seismic equivalent static force to conduct safety assessment of the offshore structure and ensure the safety and stability of the offshore structure under seismic action during the design stage.

[0006] In one embodiment, a nonlinear static analysis is performed based on a main finite element model and a nonlinear pile-pipe structure finite element model by presetting a static reduction method model, so as to condense the stiffness matrix and the mass matrix of the nonlinear pile-pipe structure and determine the super-unit finite element model of the pile head, including the following steps: obtaining a relationship curve between the soil layer reaction force acting on the nonlinear pile-pipe structure and the pile pipe deformation, and taking the linear main structure and the nonlinear pile-pipe structure as a whole, solving the relationship curve, and determining the dynamic equilibrium equation matrix, wherein the dynamic equilibrium equation matrix includes: a stiffness matrix and a mass matrix; using the nonlinear pile-pipe structure finite element model, performing a nonlinear static analysis on the dynamic equilibrium equation matrix, so as to condense the stiffness matrix and the mass matrix of the nonlinear pile-pipe structure and determine the super-unit finite element model of the pile head, wherein the super-unit finite element model of the pile head includes: a super-unit stiffness matrix and a super-unit mass matrix, and the super-unit finite element model of the pile head is used to establish a connection between the linear main structure and the nonlinear pile-pipe structure, and replace the nonlinear pile-pipe structure with the super-unit when calculating the equivalent static force of the earthquake.

[0007] In one embodiment, the step of obtaining a relationship curve between the soil reaction force acting on the nonlinear pile-pipe structure and the pile pipe deformation includes: using a preset composite foundation reaction method, based on the nonlinear effect of the soil layer on the pile-pipe structure, dividing the nonlinear pile-pipe structure into multiple independent nonlinear spring-simulated foundation soil layers, so as to provide a relationship curve between the reaction force of each layer of soil and the pile pipe deformation by simulating the foundation soil layers through nonlinear springs.

[0008] In one embodiment, the step of determining the earthquake equivalent static force in a specified direction by inputting the earthquake response acceleration spectrum in the horizontal direction into the target model and performing modal analysis on the target model includes: determining the maximum modal response and the combined displacement response by inputting the earthquake response acceleration spectrum in the horizontal direction into the target model, wherein the target model includes: the overall stiffness matrix and the overall mass matrix of the linear main structure and the pile head super unit as a whole; multiplying the maximum modal response and the combined displacement response with the overall stiffness matrix corresponding to the linear main structure, respectively, to determine the maximum response internal force matrix and the combined response internal force matrix, and determining the earthquake equivalent static force based on the proportional coefficient of the maximum response internal force matrix and the combined response internal force matrix.

[0009] In one embodiment, the step of determining the maximum modal response and the combined displacement response by inputting the seismic response acceleration spectrum in the horizontal direction into the target model includes: determining the modal vibration matrix and the modal frequency by performing modal analysis processing on the target model, and determining the modal mass matrix based on the modal vibration matrix and the modal frequency; inputting the seismic response acceleration spectrum in the horizontal x direction and the horizontal y direction into the modal mass matrix, and performing calculation processing using a preset vibration shape combination method to determine the maximum modal response and the combined displacement response.

[0010] In one embodiment, the step of determining the earthquake equivalent static force based on the proportional coefficient of the maximum response internal force matrix and the combined response internal force matrix includes: determining the total response internal force matrix according to the proportional coefficient of the maximum response internal force matrix and the combined response internal force matrix, and determining the total response internal force matrix as the earthquake equivalent static force matrix; traversing each node of the earthquake equivalent static force matrix according to a preset node mapping relationship to extract the node internal force corresponding to each node from the earthquake equivalent static force matrix, and performing matrix rotation processing on the node internal force according to the preset equivalent static output angle corresponding to each node to determine the earthquake equivalent static force in the form of node force.

[0011] In one embodiment, after the step of determining the earthquake equivalent static force in the specified direction, it includes: obtaining various types of marine environmental loads; linearly combining the earthquake equivalent static force in the form of node force with the marine environmental load, and using the combination result to perform a safety assessment on the linear main structure.

[0012] In a second aspect, an embodiment of the present invention further provides a device for generating an equivalent static force of a seismic response spectrum of an offshore engineering structure, the device comprising: a data acquisition module, for acquiring architectural data and a nonlinear soil foundation structure of an offshore structure to be established, wherein the offshore structure is divided into an upper linear main structure and a lower nonlinear pile pipe structure with a pile head point as a boundary, the nonlinear pile pipe structure being a portion of the offshore structure located in the soil layer affected by the nonlinear soil foundation structure, and the pile head point being a contact point between the offshore structure and the soil layer; a model building module, for establishing a main finite element model of the offshore structure and a nonlinear pile pipe structure finite element model according to the architectural data, and by using a preset static reduction method model The model performs nonlinear static analysis based on the main finite element model and the nonlinear pile-pipe structure finite element model to condense the stiffness matrix and mass matrix of the nonlinear pile-pipe structure and determine the pile head super-element finite element model. The equivalent static analysis module combines the main finite element model and the pile head super-element finite element model to determine the target model, and performs modal analysis on the target model by inputting the horizontal earthquake response acceleration spectrum into the target model to determine the earthquake equivalent static in the specified direction, so as to use the earthquake equivalent static to conduct safety assessment of the offshore structure and ensure the safety and stability of the offshore structure under earthquake action during the design stage.

[0013] In a third aspect, an embodiment of the present invention further provides a server, comprising a processor and a memory, wherein the memory stores computer executable instructions that can be executed by the processor, and the processor executes the computer executable instructions to implement any one of the methods provided in the first aspect.

[0014] In a fourth aspect, an embodiment of the present invention further provides a computer-readable storage medium, which stores computer-executable instructions. When the computer-executable instructions are called and executed by a processor, the computer-executable instructions prompt the processor to implement any one of the methods provided in the first aspect.

[0015] The embodiments of the present invention bring the following beneficial effects:

[0016] An embodiment of the present invention provides a method and device for generating equivalent static force of seismic response spectrum of an offshore engineering structure. After acquiring the building data and nonlinear soil foundation structure of the offshore engineering structure to be established, the method establishes a main finite element model and a nonlinear pile pipe structure finite element model of the offshore engineering structure according to the building data, and performs nonlinear static analysis based on the main finite element model and the nonlinear pile pipe structure finite element model through a preset static reduction method model, so as to reduce the stiffness matrix and mass matrix of the nonlinear pile pipe structure and determine the pile head super unit finite element model, and then combine the main finite element model and the pile head super unit finite element model to determine the target model, and perform modal analysis on the target model by inputting the earthquake response acceleration spectrum in the horizontal direction into the target model to determine the earthquake equivalent static force in the specified direction, so as to use the earthquake equivalent static force to perform safety assessment of the offshore engineering structure. The embodiment of the present invention accurately calculates the earthquake equivalent static force of the offshore engineering structure based on the modal response, which can significantly improve the safety and stability of the offshore engineering structure under earthquake action.

[0017] Other features and advantages of the present invention will be described in the following description, and partly become apparent from the description, or understood by practicing the present invention. The purpose and other advantages of the present invention are realized and obtained by the structures particularly pointed out in the description, claims and drawings.

[0018] In order to make the above-mentioned objects, features and advantages of the present invention more obvious and easy to understand, preferred embodiments are given below and described in detail with reference to the accompanying drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0019] In order to more clearly illustrate the specific implementation methods of the present invention or the technical solutions in the prior art, the drawings required for use in the specific implementation methods or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are some implementation methods of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.

[0020] Figure 1 A schematic diagram of a flow chart of a method for generating equivalent static force of a seismic response spectrum of an offshore engineering structure provided by an embodiment of the present invention;

[0021] Figure 2 A schematic diagram of a process for generating a target model provided by an embodiment of the present invention;

[0022] Figure 3 A schematic diagram of a py curve provided in an embodiment of the present invention;

[0023] Figure 4 A schematic diagram of a specific process of a method for generating equivalent static force of an earthquake response spectrum provided by an embodiment of the present invention;

[0024] Figure 5 A schematic diagram of a single pile finite element node provided by an embodiment of the present invention;

[0025] Figure 6 A schematic structural diagram of a device for generating equivalent static force of seismic response spectrum of an offshore engineering structure provided by an embodiment of the present invention;

[0026] Figure 7 A schematic diagram of the structure of a server provided in an embodiment of the present invention. DETAILED DESCRIPTION

[0027] In order to make the purpose, technical solution and advantages of the embodiments of the present invention clearer, the technical solution of the present invention will be clearly and completely described in combination with the embodiments below. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0028] At present, marine engineering structures (referred to as offshore structures) include various facilities and building structures such as oil and gas production platforms, offshore wind farms, and oil pipelines. The marine environment conditions in which offshore structures are located are complex and extremely harsh. During their service, they need to withstand environmental loads such as wind loads, wave loads, current loads, ice loads, and earthquake loads. Among them, earthquake loads are extremely destructive and unpredictable. Once offshore structures suffer from earthquake disasters, serious secondary disasters will occur. Compared with onshore building structures, offshore structures such as oil and gas production platforms, offshore wind farms, and conductor frames are installed on seabed structures with sand or soft foundations. They have greater flexibility and dynamic characteristics, and are more significantly affected by earthquake loads. Therefore, accurate earthquake response analysis and evaluation are required to confirm and ensure the safety and stability of these offshore structures under earthquakes during the design phase.

[0029] Common earthquake analysis methods include bottom shear method, response spectrum method and time history method: bottom shear method is a simplified method, generally used in the design of ground building structures with low height and regular shape; time history method is a nonlinear transient analysis method, which is complex and costly to calculate; the response spectrum method is widely used in marine engineering practice. The traditional response spectrum method is based on the modal array superposition method. Since the superposition principle requires the system to be linear, it is only applicable to linear systems, and the final response amplitude of the system is given, without considering the spatial directional characteristics and other load conditions. Based on this, the seismic response spectrum equivalent static generation method and device for marine engineering structures provided by the present invention can accurately calculate the seismic equivalent static of marine engineering structures based on modal responses, which can significantly improve the safety and stability of marine engineering structures under earthquakes.

[0030] See also Figure 1 The flowchart of a method for generating equivalent static force of seismic response spectrum of an offshore engineering structure is shown in FIG. 1 , and the method mainly includes the following steps S102 to S106:

[0031] Step S102, obtaining the building data and nonlinear soil foundation structure of the offshore structure to be established, wherein the offshore structure is divided into an upper linear main structure and a lower nonlinear pile pipe structure with the pile head point as the boundary, the nonlinear pile pipe structure is the part of the offshore structure located in the soil layer affected by the nonlinear soil foundation structure, the pile head point is the contact point between the offshore structure and the soil layer, in one embodiment, the upper part is a normal building (such as a jacket), and the upper structure will be subject to horizontal loads, the sources of which include: the force generated by the movement of the ocean current and the wind load, etc.; for the main model modeling of the offshore structure, the pile pipe and the flat plate structure are generally represented by lines and surfaces respectively, and the geometric model is meshed after it is created, the line model is set to a one-dimensional line mesh, and the surface model is divided into a two-dimensional surface mesh, the surface mesh includes quadrilateral meshes and triangular meshes but is mainly quadrilateral meshes, and for the accuracy of the results, the length of each line unit mesh should be ensured to be no more than 50 cm and the side length of each surface mesh does not exceed 50cm; then, the unit properties of the finite element mesh are applied according to the building data. The line mesh is set as a beam unit, and the beam unit is set to include unit properties such as section type and section size. The surface mesh is set as a shell unit, and the shell unit is set to include unit properties such as number of layers and thickness. The material properties of the main structure are generally set to isotropic linear elastic steel material properties.

[0032] Step S104, establish the main finite element model and the nonlinear pile pipe structure finite element model of the marine structure according to the building data, and perform nonlinear static analysis based on the main finite element model and the nonlinear pile pipe structure finite element model by presetting the static reduction method model, so as to shrink the stiffness matrix and the mass matrix of the nonlinear pile pipe structure, and determine the pile head super unit finite element model, wherein the pile head point super unit refers to: a 6*6 matrix for the node input of the pile head position, the static reduction method model is preset as the Guyan method, and the degree of freedom can be reduced by simplifying the finite element model to reduce complexity. In one embodiment, when performing nonlinear static analysis based on the main finite element model and the nonlinear pile pipe structure finite element model by presetting the static reduction method model, it is necessary to utilize the composite foundation reaction method, that is, The curve method takes into account the nonlinear effect of the soil layer on the pile pipe structure (the nonlinear pile pipe structure at the bottom), and then uses this curve to solve the pile pipe deformation and horizontal bearing capacity of the upper structure under any horizontal load, where the horizontal bearing capacity is the force of the soil on the pile pipe. However, when solving the problem, the upper structure and the lower structure need to be solved as a whole to establish the relationship between the upper structure and the lower structure (i.e., the super-element matrix). In this way, when considering the impact of earthquakes on marine structures in the future, the super-element structure can be used to replace the nonlinear pile pipe structure at the bottom, and then the equivalent effect of earthquake action calculation can be considered.

[0033] Step S106, combining the main finite element model and the pile head super-element finite element model to determine the target model, and by inputting the earthquake response acceleration spectrum in the horizontal direction into the target model, performing modal analysis on the target model to determine the earthquake equivalent static force in the specified direction, so as to use the earthquake equivalent static force to perform safety assessment of the marine structure, and ensure the safety and stability of the marine structure under earthquake action in the design stage. In one embodiment, after determining the earthquake equivalent static force in the specified direction, it is also necessary to obtain various types of marine environmental loads, and linearly combine the earthquake equivalent static force in the form of node force with the marine environmental load, and use the combination result to perform safety assessment on the linear main structure.

[0034] The method and device for generating equivalent static force of the seismic response spectrum of the above-mentioned marine engineering structure provided in the embodiment of the present invention can accurately calculate the seismic equivalent static force of the marine engineering structure based on the modal response, which can significantly improve the safety and stability of the marine engineering structure under the action of earthquake.

[0035] See also Figure 2 The flowchart of a method for generating a target model is shown in FIG. 1 . The embodiment of the present invention also provides an implementation method for generating a target model, and the details are shown in (A) to (C) below:

[0036] (A) Obtaining a relationship curve between the soil reaction force acting on the nonlinear pile-pipe structure and the pile pipe deformation. Specifically, by presetting a composite foundation reaction method, based on the nonlinear effect of the soil layer on the pile-pipe structure, the nonlinear pile-pipe structure is divided into a plurality of mutually independent nonlinear springs to simulate the foundation soil layer, so that the foundation soil layer is simulated by the nonlinear spring to provide a relationship curve between the reaction force of each layer of soil and the pile pipe deformation. In one embodiment, if the nonlinear characteristics of the soil layer are considered and calculation is required, the Guyan method (static reduction method) super unit model can be used to reduce the stiffness matrix and mass matrix of the nonlinear pile pipe part of the offshore structure located in the soil layer, otherwise it is necessary to manually input the super unit matrix of the pile head point.

[0037] Specifically, see Figure 3The schematic diagram of a py curve shown in FIG. 1 shows that the offshore structure needs to be divided into an upper linear main structure and a lower pile-pipe structure that takes into account the nonlinearity of the soil layer based on the mud surface contact point (i.e., the pile head point). First, the The curve method (i.e., composite foundation reaction method) takes into account the nonlinear effect of soil layers on the pile-pipe structure and simulates the foundation soil layers through a series of independent nonlinear springs to provide the reaction force of each soil layer. and pile pipe deformation relationship curve.

[0038] (B) The linear main structure and the nonlinear pile-tube structure are taken as a whole, the relationship curve is solved, and the dynamic equilibrium equation matrix is ​​determined, wherein the dynamic equilibrium equation matrix includes: a stiffness matrix and a mass matrix. In one embodiment, The deformation and horizontal bearing capacity of the pile pipe under any horizontal load are solved by curve. The overall stiffness matrix of the pile pipe under load equilibrium is obtained from the curve. The matrix form of the dynamic equilibrium equation without considering damping is as follows:

[0039]

[0040] in, is the mass matrix of the pile-pipe structure, is the acceleration matrix of the pile-pipe structure, is the stiffness matrix of the pile-pipe structure, is the displacement matrix of the pile-pipe structure, is the load matrix borne by the pile-pipe structure.

[0041] (C) Using the nonlinear pile-pipe structure finite element model, a nonlinear static analysis is performed on the dynamic equilibrium equation matrix to condense the stiffness matrix and mass matrix of the nonlinear pile-pipe structure and determine the pile head super-element finite element model, wherein the pile head super-element finite element model includes: a super-element stiffness matrix and a super-element mass matrix. The pile head super-element finite element model is used to establish the connection between the linear main structure and the nonlinear pile-pipe structure, and replace the nonlinear pile-pipe structure with the super-element when calculating the earthquake equivalent static force. In one embodiment, the translation and rotational degrees of freedom of the pile head point can be regarded as the main degrees of freedom of the pile-pipe structure, and the other degrees of freedom can be regarded as the secondary degrees of freedom. The ultimate goal is to retain the relevant matrix components of the main degrees of freedom and eliminate the relevant matrix components of the secondary degrees of freedom from the dynamic equilibrium equation. The dynamic equilibrium equation can be rewritten as:

[0042]

[0043] in, is the mass matrix of the principal degrees of freedom, is the mass matrix of the coupling terms of the primary and secondary degrees of freedom, is the mass matrix of the secondary degrees of freedom, is the stiffness matrix of the principal degrees of freedom, is the stiffness matrix of the coupling terms of the primary and secondary degrees of freedom, is the stiffness matrix of the secondary degrees of freedom, and are the acceleration matrices of the main degree of freedom and the secondary degree of freedom, respectively. and are the displacement matrices of the primary and secondary degrees of freedom, respectively. The load matrix of the main degree of freedom is: Since only the pile head is subject to the load, the load matrix corresponding to the secondary degree of freedom is a 0 vector matrix. Ignoring the influence of the inertia term (i.e., the acceleration matrix), we have:

[0044]

[0045] From the above formula we can get:

[0046]

[0047] Let the matrix ,in is a unit diagonal matrix, then:

[0048]

[0049] Substitute the above formula into the dynamic equilibrium equation and multiply the left side by ,get:

[0050]

[0051] make and , then the above formula can be rewritten as:

[0052]

[0053] in, , , is the number of principal degrees of freedom.

[0054] Finally and The stiffness matrix and mass matrix of the main degrees of freedom are respectively applied to the pile head point, which constitutes the super unit of the pile head point. In the subsequent earthquake equivalent static calculation, the super unit is used to represent the pile-pipe structure affected by the nonlinear effect of the soil layer to a certain extent.

[0055] See also Figure 4The flowchart of a method for generating an equivalent static force of a seismic response spectrum is shown in FIG. 1 . The embodiment of the present invention also provides an implementation method for generating an equivalent static force of a seismic response spectrum of an offshore engineering structure. For details, see (1) to (3) below:

[0056] (1) The maximum modal response and the combined displacement response are determined by inputting the acceleration spectrum of the seismic response in the horizontal direction into the target model, wherein the target model includes: the overall stiffness matrix and the overall mass matrix of the linear main structure and the pile head super unit. In one embodiment, the modal vibration mode matrix and the modal frequency are first determined by performing modal analysis on the target model, and the modal mass matrix is ​​determined based on the modal vibration mode matrix and the modal frequency. Then, the acceleration spectrum of the seismic response in the horizontal x direction and the horizontal y direction is input into the modal mass matrix, and the preset vibration mode combination method is used to perform calculation processing to determine the maximum modal response and the combined displacement response.

[0057] Specifically, the overall stiffness matrix of the linear main structure and pile head super element is considered and the overall mass matrix , constrain the translational and rotational freedom of the pile head point to perform modal analysis and obtain the modal vibration matrix and modal frequencies ,in, is the total number of degrees of freedom, is the total number of frequencies intercepted.

[0058] For Degree of freedom in a certain direction of the first mode ( ), and its modal participation factor is ,in ,for The degree of freedom in one direction is 1, and the degrees of freedom in other directions are 0. is the modal mass matrix.

[0059] Then enter the level Direction and level Acceleration spectrum of earthquake response in the direction and ,in, is the frequency value, and the horizontal earthquake acceleration constitutes the acceleration vector , so that it is consistent with the global The angle of the axis in the counterclockwise direction is , for a certain modal frequency Its modal displacement response , use the Square Root of the Sum of Squares (SRSS) or Complete Quadric Combination (CQC) method to calculate the maximum modal response , where the SRSS method is as follows:

[0060]

[0061] in, is the total number of modes, For the The magnitude of the modal response.

[0062] The CQC method is as follows:

[0063]

[0064] in is the correlation coefficient: ,in and The input Order and Damping coefficient of the order mode.

[0065] At the same time, the displacement response of each mode can be obtained The combined displacement response :

[0066]

[0067] (2) Multiply the maximum modal response and the combined displacement response by the overall stiffness matrix corresponding to the linear main structure to determine the maximum response internal force matrix and the combined response internal force matrix. In other words, use the overall stiffness matrix of the superstructure Left multiply the maximum response and the combined displacement response Get the maximum response internal force matrix and the combined response internal force matrix .

[0068] (3) Based on the proportionality coefficient of the maximum response internal force matrix and the combined response internal force matrix, the earthquake equivalent static force is determined. In one embodiment, the total response internal force matrix is ​​first determined according to the proportionality coefficient of the maximum response internal force matrix and the combined response internal force matrix, and the total response internal force matrix is ​​determined as the earthquake equivalent static force matrix. Then, each node of the earthquake equivalent static force matrix is ​​traversed according to the preset node mapping relationship to extract the node internal force corresponding to each node from the earthquake equivalent static matrix, and the node internal force is subjected to matrix rotation processing according to the preset equivalent static force output angle corresponding to each node to determine the earthquake equivalent static force in the form of node force. In one embodiment, the maximum response internal force matrix and the combined response internal force matrix The proportionality factor :

[0069]

[0070] in, and are the maximum response internal force matrix. Node Quantity and Quantity, and are the first Node Quantity and Quantity.

[0071] The final calculated total response internal force matrix , According to the code, the reasonable response amplitude and the spatial directionality of the response acceleration spectrum are considered and used as the earthquake equivalent static matrix, that is, .

[0072] From the earthquake equivalent static matrix In the process, the node internal force is extracted according to the node mapping relationship. Internal forces at nodes , select the equivalent static angle of the output (relative to the global Axis direction counterclockwise rotation angle), then the earthquake equivalent static force in the new direction can be obtained by the rotation matrix for:

[0073]

[0074] Traverse all nodes to get the selected output angle (relative to the global Axis rotation counterclockwise Angle) in the form of nodal force equivalent to the earthquake static force.

[0075] In practical applications, when generating the equivalent static force of the seismic response spectrum of offshore engineering structures and conducting safety assessments, the following steps 1 to 4 need to be performed:

[0076] Step 1: According to the design drawings of a single-pile wind turbine jacket of an offshore wind power platform in southeastern my country, a finite element model of the jacket is established. The single-pile model uses a circular tube section with a radius of , round tube wall thickness The single pile is installed in a sea area with a water depth of 30 m. The sea level is taken as the starting position of the spatial z axis, and the elevation of the mud surface is A pile pipe with a length of 59 m is installed under the mud surface. The pile pipe uses a circular tube section with a constant radius. The thickness of the pile pipe wall decreases with increasing depth. From the pile head point to the pile bottom, it is divided into 4 sections of 0.09 m, 0.085 m, 0.08 m and 0.073 m, and the length of each section is 15.75 m, 3 m, 3 m and 37.25 m, respectively. Figure 5 Schematic diagram of a single pile finite element node is shown. The upper main structure of the jacket is divided into 6 finite element units, namely PNTX, X=1, 2, …, 6.

[0077] Step 2: Input the soil layer where the single pile is located. curve, establish a series of nonlinear spring elements, and apply global Axis direction and Acceleration in the axis direction , the acceleration magnitude is ,in is the gravitational acceleration, and the deadweight of the pile is applied at the same time. For a certain section of the pile , due to the self-weight caused by the axial internal force in this plane for:

[0078]

[0079] in, is the cross-sectional radius, is the wall thickness of the circular tube in this section.

[0080] Perform static balance calculations and extract the overall stiffness matrix of the pile pipe at equilibrium and the overall mass matrix Calculation of the superelement stiffness matrix at the pile head using Guyan's method and the superelement mass matrix :

[0081] =

[0082]

[0083] =

[0084]

[0085] Super element stiffness matrix applied at pile head point and the superelement mass matrix , and together with the upper linear main structure, form a finite element model for response spectrum analysis.

[0086] Step 3: Consider the upper main structure and pile head super unit for modal analysis, calculate the first 10 modes, the first 5 frequencies are 1.13788, 1.13788, 4.46326, 4.69902 and 5.91224 respectively, the first five modes correspond to The axial modal participation factors are -0.0013, 1.84073, 3.932e-17, -1.061e-16 and -0.51080 respectively. The first five modes correspond to The axial modal participation factors are 1.84073, 0.00136, 3.249e-17, 1.001e-17 and -0.79614, respectively. The response spectrum analysis is performed according to the American Petroleum Institute (API) specification. The seismic response acceleration spectrum of type A soil is input in the axial direction, and the maximum displacement response is obtained by combining the CQC response amplitude and the modal shape matrix. , then use the first 5 modal displacement responses Linear superposition to obtain the combined displacement response ; Through the maximum displacement of the upper main structure mode The response is pre-multiplied by the global stiffness matrix , and obtain the maximum response internal force matrix , combined displacement response of the upper main structure Left multiply the overall stiffness matrix , and the combined response internal force matrix is ​​obtained , and then calculate the maximum response internal force matrix The horizontal internal force amplitude and , calculate the proportionality coefficient , then the final equivalent static matrix , and finally traverse the nodes Extract the equivalent static force of each node according to the node mapping relationship, and choose to rotate 30° counterclockwise around the global x-axis to calculate the equivalent node force. for:

[0087]

[0088] The earthquake equivalent static force of each node in this embodiment is shown in Table 1:

[0089] Table 1 Equivalent static force of single pile in 30° direction

[0090]

[0091] Among them, FX, FY and FZ represent global axis, Axis and Axial force component, in units of MX, MY and MZ represent global axis, Axis and Axial bending moment component, in units of .

[0092] Step 4: Combine the obtained earthquake equivalent static force and single pile gravity to conduct static analysis and make a safety assessment on the single pile.

[0093] In summary, the present invention takes into account the influence of nonlinear soil layers on the pile pipes of marine structures, generates earthquake equivalent statics by means of modal superposition, and considers the response amplitude and spatial directionality of the earthquake acceleration spectrum. The generated earthquake equivalent statics can be flexibly combined with other types of marine working loads, and can more efficiently and accurately carry out the safety design of marine structures, which has important guiding significance for the design, installation, operation and maintenance of marine structures.

[0094] For the method for generating equivalent static force of seismic response spectrum of marine engineering structure provided in the above-mentioned embodiment, the embodiment of the present invention provides an equivalent static force generating device of seismic response spectrum of marine engineering structure, see Figure 6 The schematic diagram of the structure of a device for generating an equivalent static force of a seismic response spectrum of an offshore engineering structure is shown in FIG. The device comprises the following parts:

[0095] The data acquisition module 602 acquires the building data and the nonlinear soil foundation structure of the offshore structure to be established, wherein the offshore structure is divided into an upper linear main structure and a lower nonlinear pile pipe structure with the pile head point as the boundary, the nonlinear pile pipe structure is the part of the offshore structure located in the soil layer affected by the nonlinear soil foundation structure, and the pile head point is the contact point between the offshore structure and the soil layer;

[0096] The model building module 604 establishes a main finite element model and a nonlinear pile-pipe structure finite element model of the marine structure according to the building data, and performs nonlinear static analysis based on the main finite element model and the nonlinear pile-pipe structure finite element model by presetting a static reduction method model, so as to reduce the stiffness matrix and mass matrix of the nonlinear pile-pipe structure and determine the pile head super-unit finite element model;

[0097] The equivalent static analysis module 606 combines the main body finite element model and the pile head super-element finite element model to determine the target model, and performs modal analysis on the target model by inputting the earthquake response acceleration spectrum in the horizontal direction into the target model to determine the earthquake equivalent static in the specified direction, so as to use the earthquake equivalent static to conduct safety assessment of the offshore structure and ensure the safety and stability of the offshore structure under earthquake action during the design stage.

[0098] The seismic response spectrum equivalent static generation device for the above-mentioned marine engineering structure provided in the embodiment of the present application can accurately calculate the seismic equivalent static of the marine engineering structure based on the modal response, which can significantly improve the safety and stability of the marine engineering structure under earthquake action.

[0099] In one embodiment, when performing a nonlinear static analysis based on a main finite element model and a nonlinear pile-pipe structure finite element model through a preset static reduction method model to condense the stiffness matrix and the mass matrix of the nonlinear pile-pipe structure and determine the pile head super-unit finite element model, the above-mentioned model construction module 604 is also used to: obtain a relationship curve between the soil layer reaction force acting on the nonlinear pile-pipe structure and the pile pipe deformation, and solve the relationship curve by taking the linear main structure and the nonlinear pile-pipe structure as a whole to determine the dynamic equilibrium equation matrix, wherein the dynamic equilibrium equation matrix includes: a stiffness matrix and a mass matrix; using the nonlinear pile-pipe structure finite element model, performing a nonlinear static analysis on the dynamic equilibrium equation matrix to condense the stiffness matrix and the mass matrix of the nonlinear pile-pipe structure to determine the pile head super-unit finite element model, wherein the pile head super-unit finite element model includes: a super-unit stiffness matrix and a super-unit mass matrix, and the pile head super-unit finite element model is used to establish a connection between the linear main structure and the nonlinear pile-pipe structure, and replace the nonlinear pile-pipe structure with the super-unit when calculating the earthquake equivalent static.

[0100] In one embodiment, when performing the step of obtaining the relationship curve between the soil layer reaction force acting on the nonlinear pile-pipe structure and the pile pipe deformation, the above-mentioned model construction module 604 is also used to: through a preset composite foundation reaction method, based on the nonlinear effect of the soil layer on the pile-pipe structure, divide the nonlinear pile-pipe structure into multiple independent nonlinear spring simulation foundation soil layers, so as to simulate the foundation soil layers through nonlinear springs to provide the relationship curve between the reaction force of each layer of soil and the pile pipe deformation.

[0101] In one embodiment, when performing the step of inputting the earthquake response acceleration spectrum in the horizontal direction into the target model, performing modal analysis on the target model, and determining the earthquake equivalent static force in the specified direction, the above-mentioned equivalent static force analysis module 606 is also used to: determine the maximum modal response and the combined displacement response by inputting the earthquake response acceleration spectrum in the horizontal direction into the target model, wherein the target model includes: the overall stiffness matrix and the overall mass matrix of the linear main structure and the pile head super unit as a whole; multiply the maximum modal response and the combined displacement response with the overall stiffness matrix corresponding to the linear main structure, respectively, to determine the maximum response internal force matrix and the combined response internal force matrix, and determine the earthquake equivalent static force based on the proportional coefficient of the maximum response internal force matrix and the combined response internal force matrix.

[0102] In one embodiment, when performing the step of inputting the earthquake response acceleration spectrum in the horizontal direction into the target model to determine the maximum modal response and the combined displacement response, the above-mentioned equivalent static analysis module 606 is also used to: determine the modal vibration matrix and the modal frequency by performing modal analysis processing on the target model, and determine the modal mass matrix based on the modal vibration matrix and the modal frequency; input the earthquake response acceleration spectrum in the horizontal x direction and the horizontal y direction into the modal mass matrix, and use a preset vibration shape combination method to perform calculation processing to determine the maximum modal response and the combined displacement response.

[0103] In one embodiment, when performing the step of determining the earthquake equivalent statics based on the proportional coefficient of the maximum response internal force matrix and the combined response internal force matrix, the above-mentioned equivalent static analysis module 606 is also used to: determine the total response internal force matrix according to the proportional coefficient of the maximum response internal force matrix and the combined response internal force matrix, and determine the total response internal force matrix as the earthquake equivalent static matrix; traverse each node of the earthquake equivalent static matrix according to a preset node mapping relationship to extract the node internal force corresponding to each node from the earthquake equivalent static matrix, and perform matrix rotation processing on the node internal force according to the preset equivalent static output angle corresponding to each node to determine the earthquake equivalent static in the form of node force.

[0104] In one embodiment, after the step of determining the earthquake equivalent statics in a specified direction, the equivalent static analysis module 606 is further used to: obtain various types of marine environmental loads; linearly combine the earthquake equivalent statics in the form of node forces with the marine environmental loads, and use the combination results to perform a safety assessment on the linear main structure.

[0105] The device provided in the embodiment of the present invention has the same implementation principle and technical effects as those of the aforementioned method embodiment. For the sake of brief description, for matters not mentioned in the device embodiment, reference may be made to the corresponding contents in the aforementioned method embodiment.

[0106] An embodiment of the present invention provides a server. Specifically, the server includes a processor and a storage device. The storage device stores a computer program, and when the computer program is executed by the processor, it executes the method described in any one of the above-mentioned embodiments.

[0107] Figure 7 A structural diagram of a server provided in an embodiment of the present invention, the server 100 includes: a processor 70, a memory 71, a bus 72 and a communication interface 73, wherein the processor 70, the communication interface 73 and the memory 71 are connected via the bus 72; the processor 70 is used to execute an executable module stored in the memory 71, such as a computer program.

[0108] The memory 71 may include a high-speed random access memory (RAM), and may also include a non-volatile memory, such as at least one disk memory. The communication connection between the system network element and at least one other network element is realized through at least one communication interface 73 (which may be wired or wireless), and the Internet, wide area network, local area network, metropolitan area network, etc. may be used.

[0109] The bus 72 may be an ISA bus, a PCI bus, or an EISA bus, etc. The bus may be divided into an address bus, a data bus, a control bus, etc. For ease of representation, Figure 7 Only one bidirectional arrow is used in the diagram, but this does not mean that there is only one bus or only one type of bus.

[0110] Among them, the memory 71 is used to store programs, and the processor 70 executes the program after receiving the execution instruction. The method executed by the device for flow process definition disclosed in any embodiment of the above-mentioned embodiment of the present invention can be applied to the processor 70 or implemented by the processor 70.

[0111] The processor 70 may be an integrated circuit chip with signal processing capabilities. In the implementation process, each step of the above method can be completed by the hardware integrated logic circuit or software instructions in the processor 70. The above processor 70 can be a general-purpose processor, including a central processing unit (CPU), a network processor (NP), etc.; it can also be a digital signal processor (DSP), an application-specific integrated circuit (ASIC), a field-programmable gate array (FPGA), or other programmable logic devices, discrete gates or transistor logic devices, discrete hardware components. The methods, steps and logic block diagrams disclosed in the embodiments of the present invention can be implemented or executed. The general-purpose processor can be a microprocessor or the processor can also be any conventional processor. The steps of the method disclosed in the embodiment of the present invention can be directly embodied as a hardware decoding processor to execute, or can be executed by a combination of hardware and software modules in the decoding processor. The software module can be located in a mature storage medium in the field such as a random access memory, a flash memory, a read-only memory, a programmable read-only memory, or an electrically erasable programmable memory, a register, etc. The storage medium is located in the memory 71, and the processor 70 reads the information in the memory 71 and completes the steps of the above method in combination with its hardware.

[0112] The computer program product of the readable storage medium provided in the embodiment of the present invention includes a computer-readable storage medium storing program code, and the instructions included in the program code can be used to execute the methods described in the previous method embodiments. The specific implementation can be referred to the previous method embodiments, which will not be repeated here.

[0113] If the functions are implemented in the form of software functional units and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, or the part that contributes to the prior art, or the part of the technical solution, can be embodied in the form of a software product. The computer software product is stored in a storage medium, including several instructions to enable a computer device (which can be a personal computer, server, or network device, etc.) to perform all or part of the steps of the methods described in various embodiments of the present invention. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), disk or optical disk, etc., which can store program codes.

[0114] Finally, it should be noted that the above-described embodiments are only specific implementations of the present invention, which are used to illustrate the technical solutions of the present invention, rather than to limit them. The protection scope of the present invention is not limited thereto. Although the present invention is described in detail with reference to the above-described embodiments, ordinary technicians in the field should understand that any technician familiar with the technical field can still modify the technical solutions recorded in the above-described embodiments within the technical scope disclosed by the present invention, or can easily think of changes, or make equivalent replacements for some of the technical features therein; and these modifications, changes or replacements do not make the essence of the corresponding technical solutions deviate from the spirit and scope of the technical solutions of the embodiments of the present invention, and should be included in the protection scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.

Claims

1. A method for generating equivalent static force of seismic response spectrum of marine engineering structure, characterized in that: The method comprises: Acquire the building data and nonlinear soil foundation structure of the offshore structure to be established, wherein the offshore structure is divided into an upper linear main structure and a lower nonlinear pile pipe structure with a pile head point as a boundary, the nonlinear pile pipe structure is the part of the offshore structure located in the soil layer affected by the nonlinear soil foundation structure, and the pile head point is the contact point between the offshore structure and the soil layer; A main finite element model and a nonlinear pile-pipe structure finite element model of the marine structure are established according to the building data, and a nonlinear static analysis process is performed based on the main finite element model and the nonlinear pile-pipe structure finite element model by presetting a static reduction method model, so as to reduce the stiffness matrix and the mass matrix of the nonlinear pile-pipe structure and determine a super-unit finite element model of the pile head; Wherein, by presetting the static reduction method model, based on the main body finite element model and the nonlinear pile pipe structure finite element model, a nonlinear static analysis process is performed to condense the stiffness matrix and the mass matrix of the nonlinear pile pipe structure, and determine the pile head super unit finite element model, including: obtaining the relationship curve between the soil layer reaction force acting on the nonlinear pile pipe structure and the pile pipe deformation, and taking the linear main body structure and the nonlinear pile pipe structure as a whole, solving the relationship curve, and determining the dynamic equilibrium equation matrix, wherein the dynamic equilibrium equation matrix includes: a stiffness matrix and a mass matrix; using the nonlinear pile pipe structure finite element model, a nonlinear static analysis process is performed on the dynamic equilibrium equation matrix, so as to condense the stiffness matrix and the mass matrix of the nonlinear pile pipe structure, and determine the pile head super unit finite element model, wherein the pile head super unit finite element model includes: a super unit stiffness matrix and a super unit mass matrix, and the pile head super unit finite element model is used to establish the connection between the linear main body structure and the nonlinear pile pipe structure, and replace the nonlinear pile pipe structure by a super unit when calculating the earthquake equivalent static force; The main finite element model and the pile head super-element finite element model are combined to determine a target model, and a seismic response acceleration spectrum in a horizontal direction is input into the target model to perform modal analysis on the target model to determine the seismic equivalent static force in a specified direction, so as to use the seismic equivalent static force to perform safety assessment of the offshore structure and ensure the safety and stability of the offshore structure under seismic action during the design stage; Wherein, the step of inputting the earthquake response acceleration spectrum in the horizontal direction into the target model, performing modal analysis processing on the target model, and determining the earthquake equivalent static force in the specified direction includes: inputting the earthquake response acceleration spectrum in the horizontal direction into the target model, determining the maximum modal response and the combined displacement response, wherein the target model includes: the overall stiffness matrix and the overall mass matrix of the linear main structure and the pile head super unit as a whole; respectively multiplying the maximum modal response and the combined displacement response with the overall stiffness matrix corresponding to the linear main structure to determine the maximum response internal force matrix and the combined response internal force matrix, and determining the earthquake equivalent static force based on the proportionality coefficient of the maximum response internal force matrix and the combined response internal force matrix; The step of determining the maximum modal response and the combined displacement response by inputting the earthquake response acceleration spectrum in the horizontal direction into the target model comprises: determining the modal vibration matrix and the modal frequency by performing modal analysis on the target model, and determining the modal mass matrix according to the modal vibration matrix and the modal frequency; inputting the earthquake response acceleration spectrum in the horizontal x direction and the horizontal y direction into the modal mass matrix, and performing calculation processing using a preset vibration shape combination method to determine the maximum modal response and the combined displacement response; Among them, the step of determining the earthquake equivalent static force based on the proportional coefficient of the maximum response internal force matrix and the combined response internal force matrix includes: determining the total response internal force matrix according to the proportional coefficient of the maximum response internal force matrix and the combined response internal force matrix, and determining the total response internal force matrix as the earthquake equivalent static force matrix; traversing each node of the earthquake equivalent static force matrix according to a preset node mapping relationship to extract the node internal force corresponding to each node from the earthquake equivalent static matrix, and performing matrix rotation processing on the node internal force according to the preset equivalent static output angle corresponding to each node to determine the earthquake equivalent static force in the form of node force.

2. The method for generating equivalent static force of seismic response spectrum of marine engineering structure according to claim 1, characterized in that: The step of obtaining a relationship curve between the soil reaction force acting on the nonlinear pile-pipe structure and the pile-pipe deformation comprises: By presetting the composite foundation reaction method, based on the nonlinear effect of the soil layer on the pile pipe structure, the nonlinear pile pipe structure is divided into a plurality of independent nonlinear springs to simulate the foundation soil layer, so that the nonlinear springs to simulate the foundation soil layer are used to provide the relationship curve between the reaction force of each layer of soil and the deformation of the pile pipe.

3. The method for generating equivalent static force of seismic response spectrum of marine engineering structure according to claim 1, characterized in that: After the step of determining the earthquake equivalent static force in the specified direction, the method further comprises: Obtain various types of marine environmental loads; The earthquake equivalent static force in the form of node force is linearly combined with the marine environmental load, and the combination result is used to conduct a safety assessment on the linear main structure.

4. A device for generating equivalent static force of seismic response spectrum of marine engineering structure, characterized in that: The device comprises: A data acquisition module, which acquires the construction data of the offshore structure to be established and the nonlinear soil foundation structure, wherein the offshore structure is divided into an upper linear main structure and a lower nonlinear pile pipe structure with a pile head point as a boundary, the nonlinear pile pipe structure is the part of the offshore structure located in the soil layer affected by the nonlinear soil foundation structure, and the pile head point is the contact point between the offshore structure and the soil layer; A model building module is used to establish a main finite element model and a nonlinear pile-pipe structure finite element model of the marine structure according to the building data, and to perform nonlinear static analysis based on the main finite element model and the nonlinear pile-pipe structure finite element model by presetting a static reduction method model, so as to reduce the stiffness matrix and mass matrix of the nonlinear pile-pipe structure and determine a super-unit finite element model of the pile head; Wherein, by presetting the static reduction method model, based on the main body finite element model and the nonlinear pile pipe structure finite element model, a nonlinear static analysis process is performed to condense the stiffness matrix and the mass matrix of the nonlinear pile pipe structure, and determine the pile head super unit finite element model, including: obtaining the relationship curve between the soil layer reaction force acting on the nonlinear pile pipe structure and the pile pipe deformation, and taking the linear main body structure and the nonlinear pile pipe structure as a whole, solving the relationship curve, and determining the dynamic equilibrium equation matrix, wherein the dynamic equilibrium equation matrix includes: a stiffness matrix and a mass matrix; using the nonlinear pile pipe structure finite element model, a nonlinear static analysis process is performed on the dynamic equilibrium equation matrix, so as to condense the stiffness matrix and the mass matrix of the nonlinear pile pipe structure, and determine the pile head super unit finite element model, wherein the pile head super unit finite element model includes: a super unit stiffness matrix and a super unit mass matrix, and the pile head super unit finite element model is used to establish the connection between the linear main body structure and the nonlinear pile pipe structure, and replace the nonlinear pile pipe structure by a super unit when calculating the earthquake equivalent static force; An equivalent static analysis module combines the main finite element model and the pile head super-element finite element model to determine a target model, and performs modal analysis on the target model by inputting a horizontal earthquake response acceleration spectrum into the target model to determine an earthquake equivalent static force in a specified direction, so as to use the earthquake equivalent static force to perform a safety assessment of the offshore structure, thereby ensuring the safety and stability of the offshore structure under earthquake action during the design stage; Wherein, the step of inputting the earthquake response acceleration spectrum in the horizontal direction into the target model, performing modal analysis processing on the target model, and determining the earthquake equivalent static force in the specified direction includes: inputting the earthquake response acceleration spectrum in the horizontal direction into the target model, determining the maximum modal response and the combined displacement response, wherein the target model includes: the overall stiffness matrix and the overall mass matrix of the linear main structure and the pile head super unit as a whole; respectively multiplying the maximum modal response and the combined displacement response with the overall stiffness matrix corresponding to the linear main structure to determine the maximum response internal force matrix and the combined response internal force matrix, and determining the earthquake equivalent static force based on the proportionality coefficient of the maximum response internal force matrix and the combined response internal force matrix; The step of determining the maximum modal response and the combined displacement response by inputting the earthquake response acceleration spectrum in the horizontal direction into the target model comprises: determining the modal vibration matrix and the modal frequency by performing modal analysis on the target model, and determining the modal mass matrix according to the modal vibration matrix and the modal frequency; inputting the earthquake response acceleration spectrum in the horizontal x direction and the horizontal y direction into the modal mass matrix, and performing calculation processing using a preset vibration shape combination method to determine the maximum modal response and the combined displacement response; Among them, the step of determining the earthquake equivalent static force based on the proportional coefficient of the maximum response internal force matrix and the combined response internal force matrix includes: determining the total response internal force matrix according to the proportional coefficient of the maximum response internal force matrix and the combined response internal force matrix, and determining the total response internal force matrix as the earthquake equivalent static force matrix; traversing each node of the earthquake equivalent static force matrix according to a preset node mapping relationship to extract the node internal force corresponding to each node from the earthquake equivalent static matrix, and performing matrix rotation processing on the node internal force according to the preset equivalent static output angle corresponding to each node to determine the earthquake equivalent static force in the form of node force.

5. A server, characterized in that: The method comprises a processor and a memory, wherein the memory stores computer executable instructions that can be executed by the processor, and the processor executes the computer executable instructions to implement the method according to any one of claims 1 to 3.

6. A computer-readable storage medium, characterized in that: The computer-readable storage medium stores computer-executable instructions. When the computer-executable instructions are called and executed by a processor, the computer-executable instructions prompt the processor to implement the method according to any one of claims 1 to 3.

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