Gravity dam nonlinear seismic response model construction method and device, equipment and medium

Abstract

The embodiment of the invention provides a gravity dam nonlinear seismic response model construction method and device, equipment and a medium, and the method comprises the steps: constructing an overall finite element equilibrium equation of a gravity dam structure based on the multi-degree-of-freedom structural characteristics of the gravity dam structure, and enabling the finite element equilibrium equation to serve as a dam body-foundation system of the gravity dam structure; the reservoir water in the reservoir is set to be incompressible fluid, and the dynamic effect of the reservoir water on the gravity dam structure serves as an additional mass matrix added to a mass matrix in a dam body-foundation system of the gravity dam structure; and adding the seismic wave action into the dam body-foundation system added with the additional mass matrix to obtain a free vibration equation under the seismic action, and taking the free vibration equation as a nonlinear seismic response model of the gravity dam. According to the invention, the gravity dam nonlinear earthquake response model capable of effectively solving the earthquake resistance problem of the gravity dam construction project can be constructed.

Description

Technical Field

[0001] The present disclosure relates to the technical field of earthquake monitoring, and in particular to a method, device, equipment and medium for constructing a nonlinear earthquake response model of a gravity dam. Background Art

[0002] For general structures, such as gravity dams, under strong earthquakes, their dynamic characteristics will change due to local damage. Generally, the change is a decrease in stiffness and an increase in damping, resulting in nonlinear response. This factor should be taken seriously when considering the seismic resistance of gravity dam construction projects.

[0003] By constructing a nonlinear seismic response model of a gravity dam and conducting research based on the model, the nonlinear response caused by earthquakes can be effectively monitored and resolved. However, existing research methods are unable to properly resolve the nonlinear seismic response of gravity dams. Summary of the invention

[0004] The present invention provides a method, device, equipment and medium for constructing a nonlinear seismic response model of a gravity dam, aiming to construct a nonlinear seismic response model of a gravity dam that can effectively solve the seismic resistance problem of a gravity dam construction project.

[0005] The technical solution of the present disclosure is as follows:

[0006] In a first aspect, an embodiment of the present disclosure provides a method for constructing a nonlinear seismic response model of a gravity dam, comprising:

[0007] Based on the multi-degree-of-freedom structural characteristics of the gravity dam structure, the finite element equilibrium equation of the entire gravity dam structure is constructed as the dam body-foundation system of the gravity dam structure;

[0008] Assuming that the water in the reservoir is an incompressible fluid, the dynamic effect of the reservoir water on the gravity dam structure is taken as an additional mass matrix added to the mass matrix of the dam body-foundation system of the gravity dam structure;

[0009] The seismic wave action is added to the dam-foundation system with the additional mass matrix, and the free vibration equation under seismic action is obtained as the nonlinear seismic response model of the gravity dam.

[0010] In a possible implementation, in the method provided in the embodiment of the present invention, the finite element equilibrium equation of the dam body-foundation system of the gravity dam structure is expressed as:

[0011]

[0012] Among them, [M], [C], and [K] are the mass matrix, damping matrix, and stiffness matrix of the entire gravity dam structure, respectively; {y} are the acceleration array, velocity array and displacement array of the gravity dam structure nodes respectively; {R} is the load array of the gravity dam structure nodes, which is a function of coordinates and time.

[0013] In a possible implementation, in the method provided in an embodiment of the present invention, the dynamic effect of reservoir water on the gravity dam structure is calculated using the Wsetergaard formula, and the additional mass matrix is ​​corrected by half.

[0014] In a possible implementation, in the method provided by the embodiment of the present invention, after the dynamic effect of reservoir water on the gravity dam structure is used as an additional mass matrix added to the mass matrix in the dam body-foundation system of the gravity dam structure, the dam body-foundation system formula with the additional mass matrix added is expressed as:

[0015]

[0016] Among them, [M p ] is the additional mass matrix.

[0017] In a possible implementation, in the method provided in an embodiment of the present invention, when the seismic wave effect is added to the dam body-foundation system to which an additional mass matrix is ​​added, the seismic wave effect can be added in the form of time-history acceleration.

[0018] In a possible implementation, in the method provided in the embodiment of the present invention, the seismic wave action is added to the dam body-foundation system with the additional mass matrix, and the free vibration equation under the seismic action is expressed as:

[0019]

[0020] Where [G] is the coordinate transformation matrix; {a g (t)} is the acceleration time history.

[0021] Among them, the damping matrix adopts Rayleigh damping, which linearly combines the mass matrix and stiffness matrix of the gravity dam structure. The formula is expressed as:

[0022] c=αM+βK

[0023] Among them, α and β are constants;

[0024] And according to the orthogonality formula of vibration mode:

[0025]

[0026] According to the known damping ratio ξ i , i and the natural frequency ω i ,ω j , α and β are calculated as follows:

[0027]

[0028] In a second aspect, the present disclosure also provides a device for constructing a nonlinear seismic response model of a gravity dam, comprising:

[0029] The dam body-foundation system construction module is used to construct the finite element equilibrium equation of the entire gravity dam structure based on the multi-degree-of-freedom structural characteristics of the gravity dam structure as the dam body-foundation system of the gravity dam structure;

[0030] The first adjustment module is used to take the dynamic effect of the reservoir water on the gravity dam structure as an additional mass matrix added to the mass matrix in the dam body-foundation system of the gravity dam structure;

[0031] The second adjustment module is used to add the seismic wave action to the dam body-foundation system with the additional mass matrix added, and obtain the free vibration equation under the seismic action as the nonlinear seismic response model of the gravity dam.

[0032] In a third aspect, an embodiment of the present disclosure further provides an electronic device, including:

[0033] processor;

[0034] a memory for storing processor-executable instructions;

[0035] The processor is configured to execute instructions to implement the method of the first aspect.

[0036] In a fourth aspect, an embodiment of the present disclosure further provides a computer-readable storage medium having a computer program stored thereon, wherein the computer program implements the method of the first aspect when executed by a processor.

[0037] In a fifth aspect, an embodiment of the present disclosure further provides a computer program product, comprising a computer program / instructions, wherein the computer program / instructions implement the method of the first aspect when executed by a processor.

[0038] The technical solution provided by the embodiments of the present disclosure brings at least the following beneficial effects:

[0039] In the embodiments of the present disclosure, based on the multi-degree-of-freedom structural characteristics of the gravity dam structure, the finite element equilibrium equation of the entire gravity dam structure is constructed as the dam body-foundation system of the gravity dam structure; the reservoir water in the reservoir is set as an incompressible fluid, and the dynamic effect of the reservoir water on the gravity dam structure is used as an additional mass matrix added to the mass matrix in the dam body-foundation system of the gravity dam structure; the seismic wave effect is added to the dam body-foundation system to which the additional mass matrix is ​​added, and the free vibration equation under the seismic action is obtained as the nonlinear seismic response model of the gravity dam. Through the present invention, a nonlinear seismic response model of the gravity dam that effectively solves the seismic problem of the gravity dam construction project can be constructed.

[0040] It is to be understood that the foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive of the present disclosure. BRIEF DESCRIPTION OF THE DRAWINGS

[0041] The drawings herein are incorporated into and constitute a part of the specification, illustrate embodiments consistent with the present disclosure, and together with the description are used to explain the principles of the present disclosure, and do not constitute improper limitations on the present disclosure.

[0042] Figure 1 A schematic diagram of a flow chart of a method for constructing a nonlinear seismic response model of a gravity dam provided in an embodiment of the present disclosure;

[0043] Figure 2 A schematic diagram of basic elements of a single-degree-of-freedom spring-mass motion system in a method for constructing a nonlinear seismic response model of a gravity dam provided in an embodiment of the present disclosure;

[0044] Figure 3 A schematic diagram of a balanced force system of a single-degree-of-freedom spring-mass motion system in a method for constructing a nonlinear seismic response model of a gravity dam provided in an embodiment of the present disclosure;

[0045] Figure 4 A structural schematic diagram of a device for constructing a nonlinear seismic response model of a gravity dam provided in an embodiment of the present disclosure;

[0046] Figure 5 A schematic diagram of the structure of an electronic device provided in an embodiment of the present disclosure. DETAILED DESCRIPTION

[0047] In order to enable ordinary persons in the art to better understand the technical solutions of the present disclosure, the technical solutions in the embodiments of the present disclosure will be clearly and completely described below in conjunction with the accompanying drawings.

[0048] It should be noted that the terms "first", "second", etc. in the specification and claims of the present disclosure and the above-mentioned drawings are used to distinguish similar objects, and are not necessarily used to describe a specific order or sequence. It should be understood that the data used in this way can be interchanged where appropriate, so that the embodiments of the present disclosure described herein can be implemented in an order other than those illustrated or described herein. The embodiments described in the following exemplary embodiments do not represent all embodiments consistent with the present disclosure. Instead, they are merely examples of devices and methods consistent with some aspects of the present disclosure as detailed in the appended claims.

[0049] Figure 1 A flowchart of a method for constructing a nonlinear seismic response model of a gravity dam provided in the first embodiment of the present disclosure is shown in FIG. Figure 1 As shown, the method for constructing the nonlinear seismic response model of a gravity dam may include the following steps:

[0050] S101, based on the multi-degree-of-freedom structural characteristics of the gravity dam structure, construct the finite element equilibrium equation of the entire gravity dam structure as the dam body-foundation system of the gravity dam structure.

[0051] Assume an ideal single-degree-of-freedom spring-mass motion system such as Figure 2 As shown in , consider the balance of all forces acting on the mass. The forces acting along the direction of the displacement degree of freedom are Figure 3 As shown, there are four main load effects. According to the principle of force balance, the motion differential equation of this system can be written as:

[0052] f I +f D +f S =p(t)

[0053] in, is the inertial force, f s = kx is the spring force, is the damping force; the motion equation of the single degree of freedom system can be obtained according to the above formula:

[0054]

[0055] If expressed using the principle of virtual work, assuming that the system has a virtual displacement δ x , then the total virtual work of the system is zero, then:

[0056] -f I δx-f D δx-f S δx+p(t)δx=0

[0057] Among them, the negative sign indicates that the direction of the force is opposite to the direction of the virtual displacement of the system. Substituting the expressions of the three forces such as the inertial force into the above formula, the vibration equation of the single-degree-of-freedom system can be obtained:

[0058] [-mx-cx-kx+p(t)]δx=0

[0059] Dams and other structures are generally multi-degree-of-freedom structures. In addition, under the action of earthquakes, the force exerted by the water on the dam surface will change to a certain extent. If the dynamic effect between the water and the dam is considered, the natural frequency of the dam will change significantly. Therefore, the influence of dynamic water pressure must be considered when performing dynamic calculations on dams under the action of earthquakes.

[0060] In the present invention, the finite element equilibrium equation of the dam body-foundation system of the gravity dam structure is expressed as:

[0061]

[0062] Among them, [M], [C], and [K] are the mass matrix, damping matrix, and stiffness matrix of the entire gravity dam structure, respectively; {y} are the acceleration array, velocity array and displacement array of the gravity dam structure nodes respectively; {R} is the load array of the gravity dam structure nodes, which is a function of coordinates and time.

[0063] S102, assuming that the water in the reservoir is an incompressible fluid, the dynamic effect of the reservoir water on the gravity dam structure is taken as an additional mass matrix added to the mass matrix in the dam body-foundation system of the gravity dam structure.

[0064] Assuming that the reservoir water is an incompressible fluid, the dynamic effect of the reservoir water can be considered as adding an additional mass matrix to the mass matrix of the original dam body-foundation system, expressed as [M P ], then the finite element equation of the dam body's self-oscillation under dynamic water pressure is:

[0065]

[0066] At present, the simulation of dynamic water pressure in the dam engineering community usually uses the Wsetergaard formula. When using this method, the additional mass matrix can be corrected by half.

[0067] S103, adding the seismic wave action to the dam body-foundation system with the additional mass matrix, and obtaining the free vibration equation under the seismic action as the nonlinear seismic response model of the gravity dam.

[0068] The effect of seismic waves can be added in the form of time-history acceleration, and then the free vibration equation of the structure under earthquake action is:

[0069]

[0070] Where [G] is the coordinate transformation matrix; {a g (t)} is the acceleration time history.

[0071] In the damping matrix involved in the present invention, damping refers to the phenomenon that energy gradually dissipates in a vibration system. When a vibration system is subjected to external excitation, an amplitude will be generated. However, due to the influence of internal factors of the system (such as friction, material elastic loss, etc.) or external factors (such as air resistance, friction, etc.), the energy will gradually dissipate, causing the amplitude to gradually decrease. This phenomenon of gradual energy dissipation is damping. Damping will cause the vibration system to gradually lose energy and eventually tend to be stationary. Therefore, in order to make the solved dynamic response results more accurate, it is generally necessary to introduce a damping matrix into the structural vibration equation to reflect the energy dissipation of the structure during the vibration process.

[0072] Generally speaking, there are two sources of damping during structural vibration, namely internal damping and external damping. Internal damping is determined by the properties of the material, while the factors causing external damping are more complex and are related to friction between materials. At present, the research on all the factors affecting external damping has not yet reached maturity. Most of the current research uses viscous damping force to express it.

[0073] In practical engineering applications, Rayleigh damping is generally used to represent the damping matrix. The Rayleigh damping is generally represented by linearly combining the mass matrix and stiffness matrix of the structure. The expression of Rayleigh damping is:

[0074] c=αM+βK

[0075] Among them, α and β are constants;

[0076] And according to the orthogonality formula of vibration mode:

[0077]

[0078] According to the known damping ratio ζ i , j and the natural frequency ω i ,ω j , α and β are calculated as follows:

[0079]

[0080] Based on the same inventive concept, the embodiment of the present disclosure also provides a device for constructing a nonlinear seismic response model of a gravity dam. Figure 4 As shown, the gravity dam nonlinear seismic response model construction device 400 includes:

[0081] A dam body-foundation system construction module 410 is used to construct a finite element equilibrium equation of the entire gravity dam structure based on the multi-degree-of-freedom structural characteristics of the gravity dam structure as a dam body-foundation system of the gravity dam structure;

[0082] A first adjustment module 420 is used to use the dynamic effect of the reservoir water on the gravity dam structure as an additional mass matrix added to the mass matrix in the dam body-foundation system of the gravity dam structure;

[0083] The second adjustment module 430 is used to add the seismic wave action to the dam body-foundation system with the additional mass matrix added, and obtain the free vibration equation under the seismic action as the nonlinear seismic response model of the gravity dam.

[0084] The specific implementation method and technical effect of the device provided in the embodiment of the present disclosure are similar to those of the above-mentioned method embodiment, and will not be repeated here.

[0085] In addition, combined Figure 1-Figure 4 The battery capacity prediction method and device described in the embodiments of the present application can be implemented by an electronic device. Figure 5 A schematic diagram of the hardware structure of an electronic device provided in an embodiment of the present application is shown.

[0086] like Figure 5 As shown, the electronic device 1000 may include a processing device (e.g., a central processing unit, a graphics processor, etc.) 1001, which can perform various appropriate actions and processes according to a program stored in a read-only memory (ROM) 1002 or a program loaded from a storage device 1008 to a random access memory (RAM) 1003 to implement the battery capacity prediction method of the embodiment described in the present disclosure. In the RAM 1003, various programs and data required for the operation of the electronic device 1000 are also stored. The processing device 1001, the ROM 1002, and the RAM 1003 are connected to each other via a bus 1004. An input / output (I / O) interface 1005 is also connected to the bus 1004.

[0087] Typically, the following devices may be connected to the I / O interface 1005: an input device 1006 including, for example, a touch screen, a touch pad, a keyboard, a mouse, a camera, a microphone, an accelerometer, a gyroscope, etc.; an output device 1007 including, for example, a liquid crystal display (LCD), a speaker, a vibrator, etc.; a storage device 1008 including, for example, a magnetic tape, a hard disk, etc.; and a communication device 1009. The communication device 1009 may allow the electronic device 1000 to communicate with other devices wirelessly or by wire to exchange data. Although Figure 5 The electronic device 1000 is shown with various devices, but it should be understood that it is not required to implement or possess all the devices shown. More or fewer devices may be implemented or possessed instead.

[0088] In particular, according to an embodiment of the present disclosure, the process described above with reference to the flowchart can be implemented as a computer software program. For example, an embodiment of the present disclosure includes a computer program product, which includes a computer program carried on a non-transitory computer-readable medium, and the computer program contains a program code for executing the method shown in the flowchart, thereby implementing the voice control method as described above. In such an embodiment, the computer program can be downloaded and installed from the network through the communication device 1009, or installed from the storage device 1008, or installed from the ROM 1002. When the computer program is executed by the processing device 1001, the above-mentioned functions defined in the method of the embodiment of the present disclosure are executed.

[0089] It should be noted that the computer-readable medium disclosed above may be a computer-readable signal medium or a computer-readable storage medium or any combination of the above two. The computer-readable storage medium may be, for example, but not limited to, an electrical, magnetic, optical, electromagnetic, infrared, or semiconductor system, device or device, or any combination of the above. More specific examples of computer-readable storage media may include, but are not limited to: an electrical connection with one or more wires, a portable computer disk, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disk read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the above. In the present disclosure, a computer-readable storage medium may be any tangible medium containing or storing a program that may be used by or in combination with an instruction execution system, device or device. In the present disclosure, a computer-readable signal medium may include a data signal propagated in a baseband or as part of a carrier wave, in which a computer-readable program code is carried. This propagated data signal may take a variety of forms, including but not limited to an electromagnetic signal, an optical signal, or any suitable combination of the above. The computer readable signal medium may also be any computer readable medium other than a computer readable storage medium, which may send, propagate or transmit a program for use by or in conjunction with an instruction execution system, apparatus or device. The program code contained on the computer readable medium may be transmitted using any suitable medium, including but not limited to: wires, optical cables, RF (radio frequency), etc., or any suitable combination of the above.

[0090] In some embodiments, the client and the server may communicate using any currently known or future developed network protocol such as HTTP (HyperText Transfer Protocol), and may be interconnected with any form or medium of digital data communication (e.g., a communication network). Examples of communication networks include a local area network ("LAN"), a wide area network ("WAN"), an internet (e.g., the Internet), and a peer-to-peer network (e.g., an ad hoc peer-to-peer network), as well as any currently known or future developed network.

[0091] The computer-readable medium may be included in the electronic device, or may exist independently without being incorporated into the electronic device.

[0092] The computer-readable medium carries one or more programs. When the one or more programs are executed by the electronic device, the electronic device:

[0093] Based on the multi-degree-of-freedom structural characteristics of the gravity dam structure, the finite element equilibrium equation of the entire gravity dam structure is constructed as the dam body-foundation system of the gravity dam structure;

[0094] Assuming that the water in the reservoir is an incompressible fluid, the dynamic effect of the water on the gravity dam structure is taken as an additional mass matrix added to the mass matrix in the dam body-foundation system of the gravity dam structure;

[0095] The seismic wave action is added to the dam-foundation system with the additional mass matrix, and the free vibration equation under seismic action is obtained as the nonlinear seismic response model of the gravity dam.

[0096] Optionally, when the above one or more programs are executed by the electronic device, the electronic device may also execute other steps described in the above embodiments.

[0097] Computer program code for performing the operations of the present disclosure may be written in one or more programming languages ​​or a combination thereof, including, but not limited to, object-oriented programming languages, such as Java, Smalltalk, C++, and conventional procedural programming languages, such as "C" or similar programming languages. The program code may be executed entirely on the user's computer, partially on the user's computer, as a separate software package, partially on the user's computer and partially on a remote computer, or entirely on a remote computer or server. In cases involving a remote computer, the remote computer may be connected to the user's computer through any type of network, including a local area network (LAN) or a wide area network (WAN), or may be connected to an external computer (e.g., through the Internet using an Internet service provider).

[0098] The flow chart and block diagram in the accompanying drawings illustrate the possible architecture, function and operation of the system, method and computer program product according to various embodiments of the present disclosure. In this regard, each square box in the flow chart or block diagram can represent a module, a program segment or a part of a code, and the module, the program segment or a part of the code contains one or more executable instructions for realizing the specified logical function. It should also be noted that in some implementations as replacements, the functions marked in the square box can also occur in a sequence different from that marked in the accompanying drawings. For example, two square boxes represented in succession can actually be executed substantially in parallel, and they can sometimes be executed in the opposite order, depending on the functions involved. It should also be noted that each square box in the block diagram and / or flow chart, and the combination of the square boxes in the block diagram and / or flow chart can be implemented with a dedicated hardware-based system that performs a specified function or operation, or can be implemented with a combination of dedicated hardware and computer instructions.

[0099] The units involved in the embodiments described in the present disclosure may be implemented by software or hardware, wherein the name of a unit does not, in some cases, limit the unit itself.

[0100] The functions described above herein may be performed at least in part by one or more hardware logic components. For example, without limitation, exemplary types of hardware logic components that may be used include: field programmable gate arrays (FPGAs), application specific integrated circuits (ASICs), application specific standard products (ASSPs), systems on chips (SOCs), complex programmable logic devices (CPLDs), and the like.

[0101] In the context of the present disclosure, a machine-readable medium may be a tangible medium that may contain or store a program for use by or in conjunction with an instruction execution system, device, or equipment. A machine-readable medium may be a machine-readable signal medium or a machine-readable storage medium. A machine-readable medium may include, but is not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, device, or equipment, or any suitable combination of the foregoing. A more specific example of a machine-readable storage medium may include an electrical connection based on one or more lines, a portable computer disk, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disk read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing.

[0102] The battery capacity prediction method mentioned in the embodiment of the present invention includes:

[0103] In the embodiment of the present disclosure, a fully charged battery to be tested is first discharged at a constant current, and the discharge amount is determined, then the open circuit voltage of the battery to be tested is measured, and the remaining battery capacity of the current battery is predicted based on the corresponding relationship between the open circuit voltage and the remaining battery capacity, and finally the battery capacity of the battery to be tested is determined based on the remaining capacity and the discharge amount. A battery capacity prediction scheme is provided, which uses the pre-fitted corresponding relationship between the open circuit voltage and the remaining battery capacity, and can accurately predict the battery capacity of the battery to be tested with only one discharge, effectively shortening the process time of the capacity test, ensuring continuous production, and saving generation energy consumption.

[0104] Those skilled in the art will appreciate that the embodiments of the present application may be provided as methods, systems, or computer program products. Therefore, the present application may adopt the form of a complete hardware embodiment, a complete software embodiment, or an embodiment in combination with software and hardware. Moreover, the present application may adopt the form of a computer program product implemented in one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) that include computer-usable program code.

[0105] The present application is described with reference to the flowcharts and / or block diagrams of the methods, devices (systems), and computer program products according to the embodiments of the present application. It should be understood that each process and / or box in the flowchart and / or block diagram, as well as the combination of the processes and / or boxes in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to generate a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowchart and / or block diagram. Figure 1 A process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.

[0106] These computer program instructions may also be stored in a computer readable memory capable of directing a computer or other programmable data processing device to operate in a specific manner, so that the instructions stored in the computer readable memory produce an article of manufacture including an instruction device, which implements the process Figure 1 A process or multiple processes and / or boxes Figure 1 A function specified in one or more boxes.

[0107] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operating steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing instructions for implementing the process. Figure 1 A process or multiple processes and / or boxes Figure 1The steps for the functions specified in one or more boxes.

[0108] Although the preferred embodiments of the present application have been described, those skilled in the art may make additional changes and modifications to these embodiments once they have learned the basic creative concept. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments and all changes and modifications falling within the scope of the present application.

[0109] Obviously, those skilled in the art can make various changes and modifications to the present invention without departing from the spirit and scope of the present invention. Thus, if these modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention is also intended to include these modifications and variations.

Claims

1. A method for constructing a nonlinear seismic response model of a gravity dam, characterized in that: include: Based on the multi-degree-of-freedom structural characteristics of the gravity dam structure, the finite element equilibrium equation of the entire gravity dam structure is constructed as the dam body-foundation system of the gravity dam structure; Assuming that the water in the reservoir is an incompressible fluid, the dynamic effect of the water on the gravity dam structure is taken as an additional mass matrix added to the mass matrix in the dam body-foundation system of the gravity dam structure; The seismic wave action is added to the dam-foundation system with the additional mass matrix, and the free vibration equation under seismic action is obtained as the nonlinear seismic response model of the gravity dam.

2. The method for constructing a nonlinear seismic response model of a gravity dam according to claim 1, characterized in that: The finite element equilibrium equation formula of the dam body-foundation system of the gravity dam structure is expressed as: Among them, [M], [C], and [K] are the mass matrix, damping matrix, and stiffness matrix of the entire gravity dam structure, respectively; {y} are the acceleration array, velocity array and displacement array of the gravity dam structure nodes respectively; {R} is the load array of the gravity dam structure nodes, which is a function of coordinates and time.

3. The method for constructing a nonlinear seismic response model of a gravity dam according to claim 3, characterized in that: The dynamic effect of reservoir water on the gravity dam structure is calculated using the Wsetergaard formula, and the additional mass matrix is ​​corrected by half.

4. The method for constructing a nonlinear seismic response model of a gravity dam according to claim 2, characterized in that: After the dynamic effect of reservoir water on the gravity dam structure is taken as an additional mass matrix added to the mass matrix in the dam body-foundation system of the gravity dam structure, the dam body-foundation system formula with the additional mass matrix added is expressed as: Among them, [M P ] is the additional mass matrix.

5. The method for constructing a nonlinear seismic response model of a gravity dam according to claim 1, characterized in that: When adding the seismic wave effect to the dam-foundation system with the added mass matrix, the seismic wave effect can be added in the form of time-history acceleration.

6. The method for constructing a nonlinear seismic response model of a gravity dam according to claim 5, characterized in that: Adding the seismic wave action to the dam-foundation system with the additional mass matrix, the free vibration equation under seismic action is expressed as: Where [G] is the coordinate transformation matrix; {a g (t)} is the acceleration time history.

7. The method for constructing a nonlinear seismic response model of a gravity dam according to claim 2, characterized in that: The damping matrix adopts Rayleigh damping, which linearly combines the mass matrix and stiffness matrix of the gravity dam structure, and the formula is expressed as: c=αM+βK Among them, α and β are constants; And according to the orthogonality formula of vibration mode: According to the known damping ratio ξ i , j and the natural frequency ω i ,ω j , α and β are calculated as follows:

8. A device for constructing a nonlinear seismic response model of a gravity dam, characterized in that: include: The dam body-foundation system construction module is used to construct the finite element equilibrium equation of the entire gravity dam structure based on the multi-degree-of-freedom structural characteristics of the gravity dam structure as the dam body-foundation system of the gravity dam structure; A first adjustment module is used to use the dynamic effect of reservoir water on the gravity dam structure as an additional mass matrix added to the mass matrix in the dam body-foundation system of the gravity dam structure; The second adjustment module is used to add the seismic wave action to the dam body-foundation system with the additional mass matrix added, and obtain the free vibration equation under the seismic action as the nonlinear seismic response model of the gravity dam.

9. An electronic device, characterized in that: include: processor; a memory for storing instructions executable by the processor; The processor is configured to execute the instructions to implement the battery capacity prediction method according to any one of claims 1 to 7.

10. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the lithium-ion battery life prediction method according to any one of claims 1 to 7 is implemented.

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