Rail transit tunnel surface environment vibration assessment method, system, equipment and medium

Abstract

The invention relates to the technical field of rail transit, and discloses a rail transit tunnel surface environment vibration assessment method, system and device and a medium. The method comprises the following steps: constructing a vehicle-rail-fastener dynamic model; calculating a fastener acting force frequency spectrum according to the vehicle-track-fastener dynamic model; constructing a 2.5 D finite element-basic solution solving model of tunnel-surrounding rock; solving the tunnel-surrounding rock 2.5 D finite element-basic solution solving model to obtain basic solution equivalent vibration source intensity; and calculating earth surface vibration according to the fastener acting force frequency spectrum, the basic solution equivalent vibration source intensity and the field layered soil body power transfer matrix model. According to the method, track vibration, tunnel vibration and site vibration are decoupled, the calculation method with the highest calculation efficiency is adopted in each subsystem, the advantages of each modeling method are fully combined, the calculation efficiency is extremely high, the obtained result is more accurate, the cost is low, and therefore the track traffic tunnel surface environment vibration condition is rapidly and accurately evaluated.

Description

Technical Field

[0001] This invention relates to the field of rail transit technology, and in particular to a method, system, equipment, and medium for assessing surface environmental vibration in rail transit tunnels. Background Technology

[0002] Currently, preliminary environmental vibration assessments of rail transit tunnels during the route selection phase mainly employ empirical formulas and three-dimensional finite element method (3D finite element method) calculations. However, the empirical formula method suffers from low accuracy and considers fewer factors, while the 3D finite element method is computationally expensive and unsuitable for large-scale vibration screening. Summary of the Invention

[0003] The main objective of this invention is to provide a method, system, device, and medium for assessing surface environmental vibration in rail transit tunnels, aiming to solve at least one of the aforementioned technical problems.

[0004] In a first aspect, embodiments of the present invention provide a method for assessing surface environmental vibration in rail transit tunnels, comprising:

[0005] Construct a vehicle-track-fastener dynamic model;

[0006] Calculate the force spectrum of the fasteners based on the vehicle-track-fastener dynamics model;

[0007] Construct a 2.5D finite element-based solution model for the tunnel-surrounding rock;

[0008] Solve the 2.5D finite element-fundamental solution model of the tunnel-surrounding rock to obtain the equivalent vibration source intensity of the fundamental solution;

[0009] Ground vibration is calculated based on the fastener force spectrum, the equivalent vibration source intensity of the basic solution, and the dynamic transmission matrix model of the layered soil.

[0010] In some embodiments, constructing the vehicle-track-fastener dynamics model includes:

[0011] Obtain a 10-DOF train dynamics model;

[0012] The track was simulated using a viscoelastically supported Euler beam to obtain the track model;

[0013] Based on the HERTZ spring theory, a vehicle-track-fastener dynamic model is constructed according to the 10-DOF train dynamics model and track model.

[0014] In some embodiments, calculating the fastener force spectrum based on the vehicle-track-fastener dynamics model includes:

[0015] The vehicle-track-fastener dynamics model is solved to obtain the responses of the track and the vehicle;

[0016] The force exerted by the fastener is calculated based on the mechanical model of the fastener and the response of the track and vehicle.

[0017] The fastener force is transformed using a fast Fourier transform algorithm to obtain the fastener force spectrum.

[0018] In some embodiments, the construction of the 2.5D finite element-fundamental solution model for the tunnel-surrounding rock includes:

[0019] A tunnel model was constructed based on the 2.5D finite element method.

[0020] A surrounding rock model is constructed based on the 2.5D basic solution method;

[0021] Based on the tunnel model and the surrounding rock model, a 2.5D finite element-fundamental solution model for tunnel-surrounding rock is constructed.

[0022] In some embodiments, the step of solving the 2.5D finite element-fundamental solution model of the tunnel-surrounding rock to obtain the equivalent vibration source intensity of the fundamental solution includes:

[0023] The 2.5D finite element-basic solution model for the tunnel-surrounding rock is solved based on the domain boundary displacement continuity condition and the hand equilibrium condition, and the coupled equations are obtained.

[0024] The coupling equations were solved using the MATLAB direct solution method to obtain the finite element nodal displacement amplitudes and the equivalent vibration source intensity of the basic solution.

[0025] In some embodiments, calculating the ground vibration based on the fastener force spectrum, the equivalent vibration source intensity of the fundamental solution, and the dynamic transmission matrix model of the layered soil at the site includes:

[0026] Construct a dynamic transmission matrix model of layered soil in the site;

[0027] Using the force spectrum of the fastener as the initial excitation reference and the equivalent vibration source intensity of the basic solution as the excitation, the ground vibration is calculated based on the dynamic transmission matrix model of the layered soil in the site.

[0028] In some embodiments, constructing the site-layered soil dynamic transfer matrix model includes:

[0029] Based on the transfer matrix method, the relationship between the equivalent virtual vibration source intensity and the ground surface displacement is established, and the dynamic transfer matrix model of the layered soil in the site is obtained.

[0030] Secondly, embodiments of the present invention provide a vibration assessment system for the surface environment of rail transit tunnels, comprising:

[0031] The dynamics model building module is used to construct the vehicle-track-fastener dynamics model;

[0032] The force spectrum calculation module is used to calculate the force spectrum of the fasteners based on the vehicle-track-fastener dynamics model.

[0033] The solution model building module is used to construct a 2.5D finite element-fundamental solution model for tunnel-surrounding rock.

[0034] The equivalent vibration source strength calculation module is used to solve the 2.5D finite element-basic solution model of the tunnel-surrounding rock to obtain the equivalent vibration source strength of the basic solution.

[0035] The surface vibration calculation module is used to calculate surface vibration based on the fastener force spectrum, the equivalent vibration source intensity of the basic solution, and the dynamic transmission matrix model of the layered soil in the site.

[0036] Thirdly, embodiments of the present invention provide an electronic device, comprising:

[0037] One or more processors;

[0038] Memory, used to store one or more programs;

[0039] When the one or more programs are executed by the one or more processors, the one or more processors implement any of the methods described above.

[0040] Fourthly, embodiments of the present invention provide a computer-readable medium on which a computer program is stored, the computer program being executed by a processor to implement the steps of any of the methods described above.

[0041] This invention provides a method for assessing surface environmental vibration in rail transit tunnels, comprising: constructing a vehicle-track-fastener dynamic model; calculating the fastener force spectrum based on the vehicle-track-fastener dynamic model; constructing a 2.5D finite element-fundamental solution model of the tunnel-surrounding rock; solving the 2.5D finite element-fundamental solution model of the tunnel-surrounding rock to obtain the equivalent vibration source intensity of the fundamental solution; and calculating surface vibration based on the fastener force spectrum, the equivalent vibration source intensity of the fundamental solution, and the dynamic transmission matrix model of the layered soil. In this invention, track vibration, tunnel vibration, and site vibration are decoupled, and the most computationally efficient calculation methods are used in each subsystem. By fully combining the advantages of different calculation methods, the surface environmental vibration response can be quickly solved, making it suitable for accurate calculation of surface environmental vibration of vibration-sensitive targets in the environmental impact assessment stage of rail transit tunnels. This allows for rapid and accurate assessment of the surface environmental vibration of rail transit tunnels, helping to provide design basis for rail transit tunnel route selection and environmental impact assessment, and is of great significance for the vibration environmental protection along rail transit tunnels. Attached Figure Description

[0042] Figure 1 A flowchart illustrating a method for assessing surface environmental vibration in a rail transit tunnel, provided in an embodiment of the present invention.

[0043] Figure 2 This is a schematic flowchart of the vibration source prediction method for rail transit tunnels involved in the embodiments of the present invention;

[0044] Figure 3 This is a schematic diagram of the power spectral density of the fastener involved in the embodiment of the present invention;

[0045] Figure 4 This is a schematic diagram of the finite element units and basic solution configuration points, and the equivalent vibration source locations involved in the embodiments of the present invention;

[0046] Figure 5 This is a schematic diagram of the Z-axis component of the equivalent vibration source intensity of the tunnel arch involved in the embodiment of the present invention;

[0047] Figure 6 This is a schematic diagram of the calculated vibration acceleration spectrum curve of the surface environment of the rail transit tunnel involved in the embodiment of the present invention;

[0048] Figure 7 A structural block diagram of a surface environment vibration assessment system for rail transit tunnels provided in an embodiment of the present invention;

[0049] Figure 8 This is a structural block diagram of an electronic device provided in an embodiment of the present invention.

[0050] The realization of the objective, functional features and advantages of the present invention will be further explained in conjunction with the embodiments and with reference to the accompanying drawings. Detailed Implementation

[0051] To enable those skilled in the art to better understand the technical solutions of the present invention, exemplary embodiments of the present invention are described below in conjunction with the accompanying drawings, including various details of the embodiments of the present invention to aid understanding. These should be considered merely exemplary. Therefore, those skilled in the art should recognize that various changes and modifications can be made to the embodiments described herein without departing from the scope and spirit of the present invention. Similarly, for clarity and brevity, descriptions of well-known functions and structures are omitted in the following description.

[0052] Where there is no conflict, the various embodiments of the present invention and the features thereof may be combined with each other.

[0053] As used herein, the term “and / or” includes any and all combinations of one or more related enumerated entries.

[0054] The terminology used herein is for the purpose of describing particular embodiments only and is not intended to limit the invention. As used herein, the singular forms “a” and “the” are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will also be understood that when the terms “comprising” and / or “made of” are used in this specification, the presence of the stated feature, integral, step, operation, element, and / or component is specified, but the presence or addition of one or more other features, integrals, steps, operations, elements, components, and / or groups thereof is not excluded. Terms such as “connected” or “linked” are not limited to physical or mechanical connections but can include electrical connections, whether direct or indirect.

[0055] Unless otherwise specified, all terms used herein (including technical and scientific terms) have the same meaning as commonly understood by one of ordinary skill in the art. It will also be understood that terms such as those defined in commonly used dictionaries should be interpreted as having the meaning consistent with their meaning in the context of the relevant art and the invention, and will not be interpreted as having an idealized or overly formal meaning unless expressly so defined herein.

[0056] In the technical solution of this invention, the collection, storage, use, processing, transmission, provision, and disclosure of user personal information all comply with relevant laws and regulations and do not violate public order and good morals. The use of user data in this technical solution follows relevant national laws and regulations (e.g., the "Information Security Technology - Personal Information Security Specification"). For example: appropriate measures are taken for personal information access control; restrictions are imposed on the display of personal information; the purpose of using personal information does not exceed the scope of direct or reasonable association; and explicit identity targeting is eliminated when using personal information to avoid precisely locating a specific individual.

[0057] To address at least one of the technical problems existing in the aforementioned related technologies, the present invention provides a method for assessing surface environmental vibration in rail transit tunnels. Figure 1 This is a flowchart illustrating a method for assessing surface environmental vibration in rail transit tunnels, as provided in an embodiment of the present invention.

[0058] As an embodiment of the present invention, such as Figure 1 As shown, the method for assessing surface environmental vibration in rail transit tunnels includes:

[0059] Step S100: Construct a vehicle-track-fastener dynamic model;

[0060] Step S200: Calculate the force spectrum of the fasteners based on the vehicle-track-fastener dynamics model;

[0061] Step S300: Construct a 2.5D finite element-based solution model for the tunnel and surrounding rock;

[0062] Step S400: Solve the 2.5D finite element-fundamental solution model of the tunnel-surrounding rock to obtain the equivalent vibration source intensity of the fundamental solution;

[0063] Step S500: Calculate the ground vibration based on the fastener force spectrum, the equivalent vibration source intensity of the basic solution, and the dynamic transmission matrix model of the layered soil.

[0064] It should be noted that the execution subject in this embodiment can be an electronic device, which can be a computer device with data processing function, or other devices that can achieve the same or similar functions. This embodiment does not limit this. In this embodiment, a computer device is used as an example for explanation.

[0065] It is understood that the method described in this embodiment is a vibration assessment method for the surface environment of rail transit tunnels based on the 2.5D finite element-fundamental solution-transfer matrix method. It can be applied to the prediction of environmental vibration in rail transit, particularly addressing the surface vibration assessment needs in the tunnel engineering route selection stage and environmental impact assessment (EIA). Core application scenarios include, but are not limited to, vibration environmental impact prediction and sensitive target screening for rail transit projects such as urban subways and railway tunnels. For example, it can be applied to the vibration prediction of new urban subway lines in the EIA, quickly assessing the surface response of vibration-sensitive areas such as schools, hospitals, and residential areas along the line through coupled modeling of the tunnel-surrounding rock-soil system; it is also suitable for vibration optimization design of high-speed railway tunnel projects, screening for vibration exceeding risks on a large scale of the line in the early stages of engineering, and assisting in the selection of track vibration reduction measures. The technical solution in this embodiment replaces traditional empirical formulas and the three-dimensional finite element method with efficient calculations, providing a quantitative basis for vibration control schemes.

[0066] Specifically, the purpose of this embodiment is to address the lack of a rapid assessment method for surface environmental vibration in rail transit tunnels within the field of rail transit environmental vibration. It provides a method for assessing surface environmental vibration in rail transit tunnels based on the 2.5D finite element method-fundamental solution-transfer matrix method. This method fully leverages the advantages of different calculation methods to rapidly solve for the surface environmental vibration response, and is suitable for accurate calculation of surface environmental vibration of vibration-sensitive targets during the environmental impact assessment stage of rail transit tunnels. The following describes the specific steps.

[0067] In one embodiment, constructing a vehicle-track-fastener dynamic model includes: obtaining a 10-DOF train dynamic model; simulating the track using a viscoelastic-supported Euler beam to obtain a track model; and constructing a vehicle-track-fastener dynamic model based on the HERTZ spring theory using the 10-DOF train dynamic model and the track model.

[0068] In one embodiment, calculating the fastener force spectrum based on the vehicle-track-fastener dynamics model includes: solving the vehicle-track-fastener dynamics model to obtain the responses of the track and the vehicle; calculating the fastener force based on the fastener's mechanical model and the responses of the track and the vehicle; and transforming the fastener force using a fast Fourier transform algorithm to obtain the fastener force spectrum.

[0069] Specifically, such as Figure 2 As shown, in step S1, a vehicle-track-fastener dynamic model is established, and the spectrum of fastener force is calculated. Depending on the complexity of the track structure, step S1 can be performed using methods such as three-dimensional finite element method or simplified dynamic model to establish a vehicle-track-fastener dynamic model and calculate the spectrum of fastener force.

[0070] For example, a 10-DOF train dynamics model is used to simulate train dynamics, a viscoelastic Euler beam is used to simulate the track, and Hertz spring theory is used to simulate the contact relationship between the train wheelsets and the track. Track irregularities can be represented by the unevenness spectrum of high-speed railway ballastless track (TB / T 3352-2014). The fastener force spectrum is calculated, as follows: Figure 3 As shown.

[0071] In one example, the train dynamics equations and track dynamics equations are combined, considering the interaction of wheel-rail contact forces, to obtain the dynamic equations of the vehicle-track-fastener coupled system. Numerical integration can be used to solve the combined dynamic equations, obtaining the displacement, velocity, and acceleration responses of the train and track at different times. Assuming the fastener is a linear spring-damped element, the fastener force is calculated using the solved track and vehicle responses based on the fastener's mechanical model. The calculated fastener force time history data is preprocessed, including removing trend terms and windowing, to reduce spectral leakage and improve the accuracy of spectral analysis. The Fast Fourier Transform (FFT) algorithm is then used to transform the preprocessed fastener force time series to obtain the spectrum of the fastener force.

[0072] In this embodiment, the obtained fastener force spectrum is analyzed to determine its main frequency components and corresponding amplitudes, and to understand the distribution characteristics of the fastener force at different frequencies, providing a basis for the design and maintenance of the track structure.

[0073] In one embodiment, constructing a 2.5D finite element-fundamental solution model for tunnel-surrounding rock includes: constructing a tunnel model based on the 2.5D finite element modeling method; constructing a surrounding rock model based on the 2.5D fundamental solution method; and constructing a 2.5D finite element-fundamental solution model for tunnel-surrounding rock based on the tunnel model and the surrounding rock model.

[0074] In one embodiment, solving the 2.5D finite element-fundamental solution model of the tunnel-surrounding rock to obtain the equivalent vibration source intensity of the fundamental solution includes: solving the 2.5D finite element-fundamental solution model of the tunnel-surrounding rock based on the domain boundary displacement continuity condition and the hand equilibrium condition to obtain the coupling equation; and solving the coupling equation using the MATLAB direct solution method to obtain the finite element nodal displacement amplitude and the equivalent vibration source intensity of the fundamental solution.

[0075] Specifically, such as Figure 2 As shown, S2 establishes a 2.5D finite element-fundamental solution model for the tunnel-surrounding rock, and calculates the equivalent vibration source intensity of the fundamental solution: A 2.5D finite element-fundamental solution model for the tunnel-surrounding rock is established, where the tunnel can be modeled using the 2.5D finite element method, and the surrounding rock can be modeled using the 2.5D fundamental solution method. For example, there are a total of 180 placement points and equivalent vibration sources. The equivalent vibration sources are located in the normal direction within the starting boundary of the placement points, such as... Figure 4 As shown.

[0076] For example, the calculation formula for the 2.5D finite element model of the tunnel is as follows:

[0077]

[0078] in, , , The stiffness matrix is ​​for a 2.5D finite element method. This is the quality matrix; c is the vehicle speed; ω is the wave number along the track direction; ω is the circular frequency; Ω is the load circular frequency.

[0079] The calculation formula for the 2.5D basic solution method model of the surrounding rock is as follows:

[0080]

[0081] Where H and G are the coefficient matrices formed by the basic solutions; and Let A represent the surface force and displacement at the boundary, respectively; and let A be the equivalent vibration source intensity to be solved.

[0082] Specifically, considering the 2.5D finite element method and the 2.5D basic solution method to solve the domain boundary displacement continuity condition and the equilibrium condition, the coupled equations are established:

[0083]

[0084] in, E is the 2.5D finite element stiffness matrix; F is the external load vector; Represents the boundary node; Represents an internal node. Solve for the magnitude of the nodal displacements in the finite element method. and equivalent virtual source amplitude (Equivalent source strength of the fundamental solution), such as Figure 5 As shown.

[0085] Understandably, traditional two-dimensional (2D) models can only consider mechanical behavior in a plane and cannot account for changes along the longitudinal direction (usually the tunnel's axis); while three-dimensional (3D) models can comprehensively simulate the spatial mechanical properties of structures and media, the computational load is enormous. The 2.5D method used in this embodiment is a modeling approach between 2D and 3D. It assumes that the research object has periodicity or homogeneity in the longitudinal direction and introduces parameters such as wave number or frequency to consider longitudinal fluctuation effects, effectively reducing the computational load while maintaining a certain level of computational accuracy. The fundamental solution method is a method of solving problems based on the fundamental solutions of partial differential equations. For the fluctuation problem of surrounding rock, the fundamental solution describes the response produced when a point in an infinite medium is subjected to a unit excitation. In this embodiment, the surrounding rock is treated as an infinite or semi-infinite medium, and the superposition principle of fundamental solutions is used to solve the mechanical response of the surrounding rock under tunnel action. The tunnel and surrounding rock are an interacting system; the deformation and stress of the tunnel affect the stress state of the surrounding rock, and the mechanical properties of the surrounding rock also react on the tunnel. In this embodiment, by coupling the 2.5D finite element model of the tunnel and the 2.5D basic solution model of the surrounding rock, the mechanical behavior of the tunnel-surrounding rock system can be accurately simulated.

[0086] In this embodiment, compared to traditional 3D models, the 2.5D finite element-fundamental solution model for tunnel-surrounding rock significantly reduces computational load and time while maintaining a certain level of computational accuracy. It can consider the longitudinal fluctuation characteristics of the tunnel and surrounding rock, more accurately simulating the dynamic response of the tunnel-surrounding rock system. Furthermore, the finite element elements and fundamental solution forms can be flexibly selected according to different tunnel structures and surrounding rock characteristics, making it suitable for various engineering scenarios.

[0087] In one embodiment, the calculation of ground vibration based on the fastener force spectrum, the equivalent vibration source intensity of the basic solution, and the dynamic transmission matrix model of the layered soil at the site includes: constructing a dynamic transmission matrix model of the layered soil at the site; using the fastener force spectrum as the initial excitation reference and the equivalent vibration source intensity of the basic solution as the excitation, calculating the ground vibration based on the dynamic transmission matrix model of the layered soil at the site.

[0088] In one embodiment, constructing a dynamic transfer matrix model of layered soil at the site includes: establishing the relationship between the equivalent virtual vibration source intensity and the ground surface displacement based on the transfer matrix method, thereby obtaining the dynamic transfer matrix model of layered soil at the site.

[0089] Specifically, such as Figure 2As shown, step S3 establishes a dynamic transfer matrix model of the layered soil at the site, using the equivalent vibration source intensity of the fundamental solution as excitation to calculate the surface vibration. In step S3, based on the transfer matrix method, the relationship between the equivalent virtual vibration source intensity A and the surface displacement is established:

[0090]

[0091] in, NA represents the surface displacement; NA represents the number of equivalent virtual vibration sources. The soil layer is the location of the equivalent virtual vibration source; matrices G, R, S, T, and F are all transfer matrices, which can be established using the Haskell-Thompson method; the exponential term describes the attenuation characteristics of the wave propagating in the soil layer, where α j h represents the attenuation coefficient. j This indicates the thickness of the soil layer. The surface acceleration spectrum is calculated as follows: Figure 6 As shown.

[0092] In one example, the equivalent source intensity of the fundamental solution is the intensity of these virtual sources after simplifying the complex vibration source into a series of equivalent virtual sources. In the finite element-fundamental solution method, the equivalent source intensity of the fundamental solution is obtained by solving the coupling equations. This equivalent source intensity is then applied as an excitation to the layered soil dynamic transfer matrix model. Specifically, it is introduced into the model as a boundary condition or initial condition. After applying the equivalent source intensity as an excitation to the layered soil dynamic transfer matrix model, the stress and displacement at the surface can be calculated using the constructed total transfer matrix, combined with the bottom boundary conditions (e.g., fixed boundary conditions for bedrock) and the surface boundary conditions (e.g., free boundary conditions). By analyzing the displacement over time, the vibration characteristics of the surface can be obtained, including parameters such as vibration amplitude and frequency.

[0093] Understandably, the direct excitation can be the equivalent vibration source intensity of the fundamental solution, but the fastener force spectrum can provide a reference for determining the frequency characteristics of the equivalent vibration source. By analyzing the fastener force spectrum, the frequency range of the dynamic load on the tunnel under train operation excitation can be understood more accurately, thus allowing for a more reasonable determination of the frequency distribution of the equivalent vibration source intensity of the fundamental solution. Surface vibration is the final result of a series of vibration transmissions triggered by train operation. The fastener force spectrum can serve as the frequency characteristic information of the initial excitation to accurately predict the frequency and amplitude of surface vibration. By combining the fastener force spectrum with the dynamic characteristics of the tunnel-surrounding rock system and the layered soil of the site, a more accurate surface vibration prediction model can be established to predict the specific conditions of surface vibration under different train operation conditions, such as the frequency range and maximum amplitude of the vibration. For example, when using the finite element-fundamental solution method combined with the layered soil dynamic transmission matrix model to predict surface vibration, different frequency components in the fastener force spectrum will act as excitation sources of different frequencies, propagating to the surface through the track structure and soil, thereby affecting the frequency components and amplitude of surface vibration.

[0094] For example, the fastener force spectrum can also be used to assess the propagation characteristics of vibration in the track-soil system. Forces of different frequencies propagate at different speeds and attenuate differently in the soil. By analyzing the fastener force spectrum and the corresponding surface vibration response, the propagation laws of vibration in the soil can be studied, such as the attenuation coefficients and propagation paths of different frequency components, in order to accurately predict the propagation range and intensity distribution of surface vibration.

[0095] It should be noted that the method described in this embodiment decouples the effects of track, tunnel, and site vibration, giving full play to the advantages of each modeling method. It has extremely high computational efficiency, more accurate prediction and evaluation results, and lower prediction and evaluation costs. It can be used for screening vibration sensitive points of large-scale vibration lines, as well as for accurate calculation of vibration in specific sites.

[0096] This embodiment provides a method for assessing surface environmental vibration in rail transit tunnels, including: constructing a vehicle-track-fastener dynamic model; calculating the fastener force spectrum based on the vehicle-track-fastener dynamic model; constructing a 2.5D finite element-fundamental solution model of the tunnel-surrounding rock; solving the 2.5D finite element-fundamental solution model of the tunnel-surrounding rock to obtain the equivalent vibration source intensity of the fundamental solution; and calculating surface vibration based on the fastener force spectrum, the equivalent vibration source intensity of the fundamental solution, and the dynamic transmission matrix model of the layered soil. In this embodiment, track vibration, tunnel vibration, and site vibration are decoupled, and the most computationally efficient calculation method is used in each subsystem. By fully combining the advantages of different modeling and calculation methods, the surface environmental vibration response can be quickly solved. This method is suitable for accurate calculation of surface environmental vibration of vibration-sensitive targets in the environmental impact assessment stage of rail transit tunnels. This allows for a rapid and accurate assessment of the surface environmental vibration of rail transit tunnels, which helps provide design basis for rail transit tunnel route selection and environmental impact assessment, and is of great significance for the vibration environmental protection along rail transit tunnels.

[0097] Reference Figure 7 , Figure 7 This is a structural block diagram of an embodiment of the rail transit tunnel surface environment vibration assessment system of the present invention. Figure 7 As shown, the surface environment vibration assessment system for rail transit tunnels includes:

[0098] Dynamics model building module 10 is used to build a vehicle-track-fastener dynamics model;

[0099] Force spectrum calculation module 20 is used to calculate the force spectrum of fasteners based on the vehicle-track-fastener dynamics model;

[0100] The solution model building module 30 is used to construct a 2.5D finite element-fundamental solution model for the tunnel-surrounding rock.

[0101] The equivalent vibration source strength calculation module 40 is used to solve the 2.5D finite element-basic solution model of the tunnel-surrounding rock to obtain the equivalent vibration source strength of the basic solution.

[0102] The surface vibration calculation module 50 is used to calculate surface vibration based on the fastener force spectrum, the equivalent vibration source intensity of the basic solution, and the dynamic transmission matrix model of the layered soil in the site.

[0103] This embodiment provides a surface environment vibration assessment system for rail transit tunnels. By decoupling track vibration, tunnel vibration, and site vibration, it employs the most computationally efficient calculation methods in each subsystem, fully combining the advantages of different modeling and calculation methods to quickly solve for the surface environment vibration response. This system is suitable for accurate calculation of surface environment vibration of vibration-sensitive targets during the environmental impact assessment (EIA) phase of rail transit tunnels. This rapid and accurate assessment of the surface environment vibration of rail transit tunnels helps provide design basis for rail transit tunnel route selection and EIA, and is of great significance for vibration environmental protection along rail transit tunnel lines.

[0104] It should be noted that technical details not described in detail in this embodiment of the rail transit tunnel surface environment vibration assessment system can be found in any embodiment of the present invention applied to the rail transit tunnel surface environment vibration assessment method as described above, and will not be repeated here.

[0105] Based on the same inventive concept, embodiments of the present invention also provide an electronic device. Figure 8 This is a structural block diagram of an electronic device provided in an embodiment of the present invention. Figure 8 As shown, an embodiment of the present invention provides an electronic device including: one or more processors 101, a memory 102, and one or more I / O interfaces 103. The memory 102 stores one or more programs, which, when executed by the one or more processors, enable the one or more processors to implement any of the above-described methods for assessing the surface environment vibration of a rail transit tunnel. The one or more I / O interfaces 103 are connected between the processor and the memory, configured to enable information interaction between the processor and the memory.

[0106] The processor 101 is a device with data processing capabilities, including but not limited to a central processing unit (CPU); the memory 102 is a device with data storage capabilities, including but not limited to random access memory (RAM, more specifically SDRAM, DDR, etc.), read-only memory (ROM), electrically erasable programmable read-only memory (EEPROM), and flash memory (FLASH); the I / O interface (read / write interface) 103 is connected between the processor 101 and the memory 102, and can realize information interaction between the processor 101 and the memory 102, including but not limited to a data bus (Bus).

[0107] In some embodiments, the processor 101, memory 102, and I / O interface 103 are interconnected via bus 104, and thus connected to other components of the computing device.

[0108] In some embodiments, the one or more processors 101 include a field-programmable gate array.

[0109] This invention also provides a computer-readable medium. The computer-readable medium stores a computer program, which, when executed by a processor, implements the steps in any of the above-described methods for assessing the surface environment vibration of a rail transit tunnel. The computer-readable storage medium can be volatile or non-volatile.

[0110] This invention also provides a computer program product, including computer-readable code, or a non-volatile computer-readable storage medium carrying computer-readable code. When the computer-readable code is run in the processor of an electronic device, the processor in the electronic device executes the above-described method for assessing the surface environment vibration of a rail transit tunnel.

[0111] Those skilled in the art will understand that all or some of the steps, systems, and apparatuses disclosed above, and their functional modules / units, can be implemented as software, firmware, hardware, or suitable combinations thereof. In hardware implementations, the division between functional modules / units mentioned above does not necessarily correspond to the division of physical components; for example, a physical component may have multiple functions, or a function or step may be performed collaboratively by several physical components. Some or all physical components may be implemented as software executed by a processor, such as a central processing unit, digital signal processor, or microprocessor, or as hardware, or as an integrated circuit, such as an application-specific integrated circuit (ASIC). Such software can be distributed on a computer-readable storage medium, which may include computer storage media (or non-transitory media) and communication media (or transient media).

[0112] As is known to those skilled in the art, the term computer storage medium includes volatile and non-volatile, removable and non-removable media implemented in any method or technology for storing information, such as computer-readable program instructions, data structures, program modules, or other data. Computer storage media includes, but is not limited to, random access memory (RAM), read-only memory (ROM), erasable programmable read-only memory (EPROM), static random access memory (SRAM), flash memory or other memory technologies, portable compact disc read-only memory (CD-ROM), digital versatile disc (DVD) or other optical disc storage, magnetic cartridges, magnetic tape, disk storage or other magnetic storage devices, or any other medium that can be used to store desired information and is accessible to a computer. Furthermore, it is known to those skilled in the art that communication media typically contain computer-readable program instructions, data structures, program modules, or other data in modulated data signals such as carrier waves or other transmission mechanisms, and may include any information delivery medium.

[0113] The computer-readable program instructions described herein can be downloaded from computer-readable storage media to various computing / processing devices, or downloaded via a network, such as the Internet, local area network, wide area network, and / or wireless network, to an external computer or external storage device. The network may include copper transmission cables, fiber optic transmission, wireless transmission, routers, firewalls, switches, gateway computers, and / or edge servers. A network adapter card or network interface in each computing / processing device receives the computer-readable program instructions from the network and forwards them to the computer-readable storage media in the respective computing / processing device.

[0114] The computer program instructions used to perform the operations of this invention may be assembly instructions, instruction set architecture (ISA) instructions, machine instructions, machine-dependent instructions, microcode, firmware instructions, state setting data, or source code or object code written in any combination of one or more programming languages, including object-oriented programming languages ​​such as Smalltalk, C++, etc., and conventional procedural programming languages ​​such as the "C" language or similar programming languages. The computer-readable program instructions may be executed entirely on the user's computer, partially on the user's computer, as a standalone 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 via 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., via the Internet using an Internet service provider). In some embodiments, electronic circuitry, such as programmable logic circuitry, field-programmable gate arrays (FPGAs), or programmable logic arrays (PLAs), is personalized by utilizing state information from the computer-readable program instructions. This electronic circuitry can execute the computer-readable program instructions to implement various aspects of the invention.

[0115] The computer program product described herein can be implemented specifically through hardware, software, or a combination thereof. In one alternative embodiment, the computer program product is specifically embodied in a computer storage medium; in another alternative embodiment, the computer program product is specifically embodied in a software product, such as a software development kit (SDK), etc.

[0116] Various aspects of the present invention are described herein with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It should be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer-readable program instructions.

[0117] These computer-readable program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, or other programmable data processing apparatus to produce a machine such that, when executed by the processor of the computer or other programmable data processing apparatus, they create means for implementing the functions / actions specified in one or more blocks of the flowchart and / or block diagram. These computer-readable program instructions can also be stored in a computer-readable storage medium that causes a computer, programmable data processing apparatus, and / or other device to operate in a particular manner; thus, the computer-readable medium storing the instructions comprises an article of manufacture that includes instructions for implementing aspects of the functions / actions specified in one or more blocks of the flowchart and / or block diagram.

[0118] Computer-readable program instructions may also be loaded onto a computer, other programmable data processing apparatus, or other device to cause a series of operational steps to be performed on the computer, other programmable data processing apparatus, or other device to produce a computer-implemented process, thereby causing the instructions executed on the computer, other programmable data processing apparatus, or other device to perform the functions / actions specified in one or more boxes of a flowchart and / or block diagram.

[0119] The flowcharts and block diagrams in the accompanying drawings illustrate the architecture, functionality, and operation of possible implementations of systems, methods, and computer program products according to various embodiments of the present invention. In this regard, each block in a flowchart or block diagram may represent a module, segment, or portion of an instruction, which contains one or more executable instructions for implementing a specified logical function. In some alternative implementations, the functions marked in the blocks may occur in a different order than those shown in the drawings. For example, two consecutive blocks may actually be executed substantially in parallel, and they may sometimes be executed in reverse order, depending on the functions involved. It should also be noted that each block in the block diagrams and / or flowcharts, and combinations of blocks in the block diagrams and / or flowcharts, may be implemented using a dedicated hardware-based system that performs the specified function or action, or using a combination of dedicated hardware and computer instructions.

[0120] Example embodiments have been disclosed herein, and while specific terminology has been used, it is for illustrative purposes only and should be construed as such, and is not intended to be limiting. In some instances, it will be apparent to those skilled in the art that features, characteristics, and / or elements described in conjunction with particular embodiments may be used alone, or in combination with features, characteristics, and / or elements described in conjunction with other embodiments, unless otherwise expressly indicated. Therefore, those skilled in the art will understand that various changes in form and detail may be made without departing from the scope of the invention as set forth in the appended claims.

Claims

1. A method for assessing surface environmental vibration in rail transit tunnels, characterized in that, include: Construct a vehicle-track-fastener dynamic model; Calculate the force spectrum of the fasteners based on the vehicle-track-fastener dynamics model; Construct a 2.5D finite element-based solution model for the tunnel-surrounding rock; Solve the 2.5D finite element-fundamental solution model of the tunnel-surrounding rock to obtain the equivalent vibration source intensity of the fundamental solution; Ground vibration is calculated based on the fastener force spectrum, the equivalent vibration source intensity of the basic solution, and the dynamic transmission matrix model of the layered soil.

2. The method as described in claim 1, characterized in that, The construction of the vehicle-track-fastener dynamics model includes: Obtain a 10-DOF train dynamics model; The track was simulated using a viscoelastically supported Euler beam to obtain the track model; Based on the HERTZ spring theory, a vehicle-track-fastener dynamic model is constructed according to the 10-DOF train dynamics model and track model.

3. The method as described in claim 1, characterized in that, The calculation of the fastener force spectrum based on the vehicle-track-fastener dynamics model includes: The vehicle-track-fastener dynamics model is solved to obtain the responses of the track and the vehicle; The force exerted by the fastener is calculated based on the mechanical model of the fastener and the response of the track and vehicle. The fastener force is transformed using a fast Fourier transform algorithm to obtain the fastener force spectrum.

4. The method as described in claim 1, characterized in that, The 2.5D finite element-fundamental solution model for constructing the tunnel-surrounding rock includes: A tunnel model was constructed based on the 2.5D finite element method. A surrounding rock model is constructed based on the 2.5D basic solution method; Based on the tunnel model and the surrounding rock model, a 2.5D finite element-fundamental solution model for tunnel-surrounding rock is constructed.

5. The method as described in claim 1, characterized in that, The 2.5D finite element-fundamental solution model for solving the tunnel-surrounding rock yields the equivalent vibration source intensity of the fundamental solution, including: The 2.5D finite element-basic solution model for the tunnel-surrounding rock is solved based on the domain boundary displacement continuity condition and the hand equilibrium condition, and the coupled equations are obtained. The coupling equations were solved using the MATLAB direct solution method to obtain the finite element nodal displacement amplitudes and the equivalent vibration source intensity of the basic solution.

6. The method as described in claim 1, characterized in that, The calculation of ground vibration based on the fastener force spectrum, the equivalent vibration source intensity of the fundamental solution, and the dynamic transmission matrix model of the layered soil at the site includes: Construct a dynamic transmission matrix model of layered soil in the site; Using the force spectrum of the fastener as the initial excitation reference and the equivalent vibration source intensity of the basic solution as the excitation, the ground vibration is calculated based on the dynamic transmission matrix model of the layered soil in the site.

7. The method as described in claim 6, characterized in that, The construction of the site-layered soil dynamic transfer matrix model includes: Based on the transfer matrix method, the relationship between the equivalent virtual vibration source intensity and the ground surface displacement is established, and the dynamic transfer matrix model of the layered soil in the site is obtained.

8. A vibration assessment system for the surface environment of rail transit tunnels, characterized in that, include: The dynamics model building module is used to construct the vehicle-track-fastener dynamics model; The force spectrum calculation module is used to calculate the force spectrum of the fasteners based on the vehicle-track-fastener dynamics model. The solution model building module is used to construct a 2.5D finite element-fundamental solution model for tunnel-surrounding rock. The equivalent vibration source strength calculation module is used to solve the 2.5D finite element-basic solution model of the tunnel-surrounding rock to obtain the equivalent vibration source strength of the basic solution. The surface vibration calculation module is used to calculate surface vibration based on the fastener force spectrum, the equivalent vibration source intensity of the basic solution, and the dynamic transmission matrix model of the layered soil in the site.

9. An electronic device, characterized in that, include: One or more processors; Memory, used to store one or more programs; When the one or more programs are executed by the one or more processors, the one or more processors implement the method as described in any one of claims 1 to 7.

10. A computer-readable medium having a computer program stored thereon, characterized in that, When the computer program is executed by a processor, it implements the steps of the method as described in any one of claims 1 to 7.

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