Method for calculating vibration loss between saturated soil and building structure

Abstract

The invention discloses a method for calculating vibration loss between saturated soil and a building structure. The method comprises the following steps: constructing a Rayleigh wave model of saturated soil and a building structure, and obtaining transverse wave velocities, longitudinal wave velocities and Rayleigh wave velocities of the saturated soil and the building structure according to the Rayleigh wave model of the saturated soil and the building structure and basic parameters of the saturated soil and the building structure; constructing a permeable boundary condition model, and obtaining a potential function of a Rayleigh wave in the saturated soil according to the Rayleigh wave model of the saturated soil and the building structure and the permeable boundary condition model; based on the reflection and transmission relation of Rayleigh waves at the discontinuous surface, a target model of stress and displacement residual errors between the saturated soil and the building structure is constructed, and then the vibration loss between the saturated soil and the building structure is calculated. According to the method, the reflection and transmission relation of the Rayleigh wave at the discontinuous surface is considered, the accuracy of calculating the vibration loss can be improved, and the interaction between the saturated soil and the building structure can be reflected more accurately.

Description

Technical Field

[0001] The invention relates to the field of vibration propagation of buildings, and in particular to a method for calculating vibration loss between saturated soil and a building structure. Background Art

[0002] Many high-speed railway foundations and buildings are built on saturated soil. The effects of train vibration are complex and can endanger operational safety in severe cases. The vibration loss between saturated soil and building structure is an important parameter in the vibration propagation process of the building. It reflects the energy loss of vibration from the soil to the building foundation and can measure the strength of the interaction between saturated soil and building structure. Therefore, accurately obtaining the vibration loss between saturated soil and building structure is critical to the vibration prediction of building structure.

[0003] Existing methods take into account the reflection and transmission behaviors on the surfaces of different media, and use six boundary conditions at the junction of two media to accurately solve the amplitude and angle of the reflected and refracted waves generated on the interface between two different media, but do not consider the propagation of Rayleigh waves in discontinuous media. Rayleigh waves are surface waves. When they encounter the discontinuous surface of the medium, they will not only be reflected and transmitted, but may also be transformed into other types of waves. The above characteristics of Rayleigh waves make it impossible for simple reflection and transmission considerations to meet the requirements of boundary conditions, and thus it is impossible to accurately obtain the vibration loss between saturated soil and building structures. In addition, existing methods require a large amount of measured data in the process of calculating the vibration loss between saturated soil and building structures. Summary of the invention

[0004] In view of the above-mentioned deficiencies in the prior art, the present invention provides a method for calculating the vibration loss between saturated soil and a building structure, which takes into account the reflection and transmission relationship of Rayleigh waves at discontinuities, can improve the accuracy of calculating the vibration loss, and in the calculation process, only the basic parameters of the saturated soil and the building structure need to be obtained, without the need for a large amount of measured data.

[0005] In order to achieve the above-mentioned object of the invention, the technical solution adopted by the present invention is:

[0006] A method for calculating vibration loss between saturated soil and building structure comprises the following steps:

[0007] S1. Construct a Rayleigh wave model of saturated soil and building structure, and obtain the transverse wave velocity, longitudinal wave velocity and Rayleigh wave velocity of saturated soil and building structure according to the Rayleigh wave model of saturated soil and building structure and basic parameters of saturated soil and building structure;

[0008] S2. Construct a permeable boundary condition model, and obtain the potential function of Rayleigh waves in saturated soil according to the Rayleigh wave model of saturated soil and building structure and the permeable boundary condition model;

[0009] S3. Based on the reflection and transmission relationship of Rayleigh waves at discontinuities, a target model of stress and displacement residuals between saturated soil and building structures is constructed. According to the basic parameters of saturated soil and building structures, shear wave velocity, longitudinal wave velocity, Rayleigh wave velocity, potential function of Rayleigh waves in saturated soil, and target model of stress and displacement residuals between saturated soil and building structures, the vibration loss between saturated soil and building structures is calculated.

[0010] Furthermore, in step S3, a relationship model between stress and displacement residuals between saturated soil and building structure is constructed, including the following steps:

[0011] A1. Construct a stress integral model for the incident Rayleigh wave between saturated soil and building structure at the medium discontinuity surface, expressed as:

[0012]

[0013] Where: I1 is the integral value of stress generated by the incident Rayleigh wave at the discontinuity surface of the medium, σ xx0 is the normal stress caused by the incident Rayleigh wave alone, σ xz0 is the shear stress caused by the incident Rayleigh wave alone;

[0014] A2. Construct a displacement integral model for the incident Rayleigh wave between saturated soil and building structure at the medium discontinuity surface, expressed as:

[0015]

[0016] Where: I2 is the integral value of the displacement caused by the incident Rayleigh wave at the medium discontinuity surface, u0 is the displacement in the normal direction of the action plane caused by the incident Rayleigh wave alone, and w0 is the displacement in the stress direction caused by the incident Rayleigh wave alone;

[0017] A3. According to the stress integral model and displacement integral model generated by the incident Rayleigh wave at the medium discontinuity surface between the saturated soil and the building structure, and based on the reflection and transmission relationship of Rayleigh wave at the discontinuity surface, the target model of stress and displacement residual between the saturated soil and the building structure is constructed, which is expressed as:

[0018]

[0019] Where: I0 is the residual of stress and displacement between saturated soil and building structure, σ xx is the normal stress on the left side of the interface between saturated soil and building structure, the normal direction of the action plane is the x-axis, σ' xx is the normal stress on the right side of the interface between saturated soil and building structure, the normal direction of the action plane is the x-axis, σ xzis the shear stress on the left side of the interface between saturated soil and building structure, the normal direction of the action plane is the x-axis, the direction is the y-axis, σ' xz is the shear stress on the right side of the interface between saturated soil and building structure, the normal of the action plane is the x-axis, the direction is the y-axis, u is the displacement on the left side of the interface between saturated soil and building structure, u' is the displacement on the right side of the interface between saturated soil and building structure, w is the displacement on the left side of the interface between saturated soil and building structure, and w' is the displacement on the right side of the interface between saturated soil and building structure.

[0020] Furthermore, according to the basic parameters of the saturated soil and the building structure, the shear wave velocity, the longitudinal wave velocity, the Rayleigh wave velocity, the potential function of the Rayleigh wave in the saturated soil, and the target model of the stress and displacement residuals between the saturated soil and the building structure, the vibration loss between the saturated soil and the building structure is calculated, including the following steps:

[0021] B1. Based on the potential function of Rayleigh waves in saturated soil, the integrated data of displacement, stress and residual between saturated soil and building structure are obtained;

[0022] B2. Based on the target model of stress and displacement residuals between saturated soil and building structure and the integrated data of displacement, stress and residuals between saturated soil and building structure, a saturated soil foundation related parameter model of stress and displacement residuals is constructed;

[0023] B3. Construct the target condition model of stress and displacement residuals;

[0024] B4. Calculate the vibration loss between saturated soil and building structure based on the foundation parameters of saturated soil and building structure, shear wave velocity, longitudinal wave velocity, Rayleigh wave velocity, saturated soil foundation related parameter model of stress and displacement residuals, and target condition model of stress and displacement residuals.

[0025] Furthermore, in step B2, a saturated soil foundation related parameter model of stress and displacement residuals is constructed, which is expressed as:

[0026] I0=(A+J)(1+R) 2 +(B+E+H+K)T 2 +(D+G)(1-R) 2

[0027] +(C+L+F+I)T+(C+LFI)RT

[0028] Wherein: I0 is the residual of stress and displacement between saturated soil and building structure, A is the first parameter of saturated soil and building structure, B is the second parameter of saturated soil and building structure, C is the third parameter of saturated soil and building structure, D is the fourth parameter of saturated soil and building structure, E is the fifth parameter of saturated soil and building structure, F is the sixth parameter of saturated soil and building structure, G is the seventh parameter of saturated soil and building structure, H is the eighth parameter of saturated soil and building structure, I is the ninth parameter of saturated soil and building structure, J is the tenth parameter of saturated soil and building structure, K is the eleventh parameter of saturated soil and building structure, L is the twelfth parameter of saturated soil and building structure, R is the reflection coefficient between saturated soil and building structure, T is the vibration loss between saturated soil and building structure.

[0029] Furthermore, in step B3, the target condition model of stress and displacement residuals is constructed, which is expressed as:

[0030]

[0031] Where: I0 is the residual of stress and displacement between saturated soil and building structure, R is the reflection coefficient between saturated soil and building structure, and T is the vibration loss between saturated soil and building structure.

[0032] Further, step B4 includes the following steps:

[0033] B41. According to the basic parameters of saturated soil and building structure, shear wave velocity, longitudinal wave velocity, Rayleigh wave velocity, stress and displacement residual saturated soil foundation related parameter model and the target condition model of stress and displacement residual, the vibration loss solution model between saturated soil and building structure is constructed, which is expressed as:

[0034]

[0035] Wherein: A is the first parameter of saturated soil and building structure, B is the second parameter of saturated soil and building structure, C is the third parameter of saturated soil and building structure, D is the fourth parameter of saturated soil and building structure, E is the fifth parameter of saturated soil and building structure, F is the sixth parameter of saturated soil and building structure, G is the seventh parameter of saturated soil and building structure, H is the eighth parameter of saturated soil and building structure, I is the ninth parameter of saturated soil and building structure, J is the tenth parameter of saturated soil and building structure, K is the eleventh parameter of saturated soil and building structure, and L is the twelfth parameter of saturated soil and building structure;

[0036] B42. According to the vibration loss solution model between saturated soil and building structure, the transmission coefficient between saturated soil and building structure is calculated, which is expressed as:

[0037]

[0038] Where: T is the transmission coefficient between saturated soil and building structure, R is the reflection coefficient between saturated soil and building structure,

[0039] B43. Calculate the vibration loss between saturated soil and building structure based on the transmission coefficient between saturated soil and building structure.

[0040] The present invention has the following beneficial effects:

[0041] (1) Based on the reflection and transmission relationship of Rayleigh waves at discontinuities, the present invention constructs a target model of stress and displacement residuals between saturated soil and building structures. This process takes into account the reflection and transmission relationship of Rayleigh waves at discontinuities, which can improve the accuracy of calculating vibration losses, thereby more accurately reflecting the interaction between saturated soil and building structures, and can quickly predict building vibrations caused by deterministic vibration sources with known spectral information;

[0042] (2) The present invention only needs to obtain the basic parameters of the saturated soil and the building structure to calculate the vibration loss between the saturated soil and the building structure, which can well solve the problem of requiring a large amount of measured data in the existing method, thereby improving the calculation efficiency of the vibration loss between the saturated soil and the building structure. BRIEF DESCRIPTION OF THE DRAWINGS

[0043] Figure 1 The figure is a flow chart of a method for calculating vibration loss between saturated soil and building structure. DETAILED DESCRIPTION

[0044] The specific implementation modes of the present invention are described below to facilitate those skilled in the art to understand the present invention. However, it should be clear that the present invention is not limited to the scope of the specific implementation modes. For those of ordinary skill in the art, as long as various changes are within the spirit and scope of the present invention as defined and determined by the attached claims, these changes are obvious, and all inventions and creations utilizing the concept of the present invention are protected.

[0045] like Figure 1 As shown, a method for calculating vibration loss between saturated soil and building structure includes steps S1-S3, which are as follows:

[0046] S1. Construct a Rayleigh wave model of saturated soil and building structure. According to the Rayleigh wave model of saturated soil and building structure and the basic parameters of saturated soil and building structure, obtain the shear wave velocity, longitudinal wave velocity and Rayleigh wave velocity of saturated soil and building structure.

[0047] In an optional embodiment of the present invention, the present invention constructs a Rayleigh wave model of saturated soil and building structure based on Biot's saturated porous medium theory, and then obtains the shear wave velocity, longitudinal wave velocity and Rayleigh wave velocity of the saturated soil and building structure according to the Rayleigh wave model of the saturated soil and building structure and the basic parameters of the saturated soil and building structure.

[0048] S2. Construct a permeable boundary condition model, and obtain the potential function of Rayleigh wave in saturated soil based on the Rayleigh wave model of saturated soil and building structure and the permeable boundary condition model.

[0049] In an optional embodiment of the present invention, the present invention constructs a permeable boundary condition model, and based on the permeable boundary condition model, solves the Rayleigh wave model of saturated soil and building structure to obtain the potential function of Rayleigh wave in saturated soil.

[0050] The present invention constructs a permeable boundary condition model, which is expressed as:

[0051]

[0052] Where: zz | z＝0 is the normal stress in the z direction at the z=0 position, σ zx | z＝0 is the shear stress in the x direction at the z=0 position, the normal direction of the action plane is in the z direction, σ zy | z＝0 is the shear stress in the y direction at the z = 0 position, the normal direction of the action plane is in the z direction, p| z＝0 is the pore pressure at z = 0.

[0053] S3. Based on the reflection and transmission relationship of Rayleigh waves at discontinuities, a target model of stress and displacement residuals between saturated soil and building structures is constructed. According to the basic parameters of saturated soil and building structures, shear wave velocity, longitudinal wave velocity, Rayleigh wave velocity, potential function of Rayleigh waves in saturated soil, and target model of stress and displacement residuals between saturated soil and building structures, the vibration loss between saturated soil and building structures is calculated.

[0054] In an optional embodiment of the present invention, the present invention constructs a target model of stress and displacement residuals between saturated soil and building structures based on the reflection and transmission relationship of Rayleigh waves at discontinuities. This process takes into account the reflection and transmission relationship of Rayleigh waves at discontinuities, which can improve the accuracy of calculating vibration losses, thereby more accurately reflecting the interaction between saturated soil and building structures, and can quickly predict building vibrations caused by deterministic vibration sources with known spectral information.

[0055] The present invention constructs a relationship model between stress and displacement residuals between saturated soil and building structure, comprising the following steps:

[0056] A1. Construct a stress integral model for the incident Rayleigh wave between saturated soil and building structure at the medium discontinuity surface, expressed as:

[0057]

[0058] Where: I1 is the integral value of stress generated by the incident Rayleigh wave at the discontinuity surface of the medium, σ xx0 is the normal stress caused by the incident Rayleigh wave alone, σ xz0 is the shear stress caused by the incident Rayleigh wave alone.

[0059] A2. Construct a displacement integral model for the incident Rayleigh wave between saturated soil and building structure at the medium discontinuity surface, expressed as:

[0060]

[0061] Where: I2 is the integral value of the displacement generated by the incident Rayleigh wave at the medium discontinuity surface, u0 is the displacement in the normal direction of the action plane caused by the incident Rayleigh wave alone, and w0 is the displacement in the stress direction caused by the incident Rayleigh wave alone.

[0062] A3. According to the stress integral model and displacement integral model generated by the incident Rayleigh wave at the medium discontinuity surface between the saturated soil and the building structure, and based on the reflection and transmission relationship of Rayleigh wave at the discontinuity surface, the target model of stress and displacement residual between the saturated soil and the building structure is constructed, which is expressed as:

[0063]

[0064] Where: I0 is the residual of stress and displacement between saturated soil and building structure, σ xx is the normal stress on the left side of the interface between saturated soil and building structure, the normal direction of the action plane is the x-axis, σ' xx is the normal stress on the right side of the interface between saturated soil and building structure, the normal direction of the action plane is the x-axis, σ xz is the shear stress on the left side of the interface between saturated soil and building structure, the normal direction of the action plane is the x-axis, the direction is the y-axis, σ' xz is the shear stress on the right side of the interface between saturated soil and building structure, the normal of the action plane is the x-axis, the direction is the y-axis, u is the displacement on the left side of the interface between saturated soil and building structure, u' is the displacement on the right side of the interface between saturated soil and building structure, w is the displacement on the left side of the interface between saturated soil and building structure, and w' is the displacement on the right side of the interface between saturated soil and building structure.

[0065] The present invention calculates the vibration loss between the saturated soil and the building structure according to the basic parameters of the saturated soil and the building structure, the shear wave velocity, the longitudinal wave velocity, the Rayleigh wave velocity, the potential function of the Rayleigh wave in the saturated soil, and the target model of the stress and displacement residual between the saturated soil and the building structure, and comprises the following steps:

[0066] B1. Based on the potential function of Rayleigh waves in saturated soil, the integrated data of displacement, stress and residual between saturated soil and building structure are obtained.

[0067] B2. Based on the target model of stress and displacement residuals between saturated soil and building structure and the integrated data of displacement, stress and residuals between saturated soil and building structure, a saturated soil foundation related parameter model of stress and displacement residuals is constructed.

[0068] The present invention calculates the first parameter of saturated soil and building structure, which is expressed as:

[0069]

[0070] Among them: k is the wave number of saturated soil R wave, l is the foundation burial depth, i is the imaginary number sign, a1, b1, c1, a2, c2, c3, c4, c5 and c6 are all known process parameters.

[0071] The present invention obtains the R wave number of saturated soil through the shear wave velocity, longitudinal wave velocity and Rayleigh wave velocity of saturated soil and building structure.

[0072] The present invention calculates the second parameter of saturated soil and building structure, which is expressed as:

[0073]

[0074] Where: r is the wave number difference between the R wave and the P wave, s is the wave number difference between the R wave and the SV wave, c9, c 10 These are all known process parameters.

[0075] The present invention obtains the wave number difference between R wave and P wave, and the wave number difference between R wave and SV wave through the shear wave velocity, longitudinal wave velocity and Rayleigh wave velocity of saturated soil and building structure.

[0076] The present invention calculates the third parameter of saturated soil and building structure, which is expressed as:

[0077]

[0078]

[0079] Where: c 10 are known process parameters.

[0080] The fourth parameter of the saturated soil and the building structure calculated by the present invention is expressed as:

[0081]

[0082] The fifth parameter of the present invention for calculating saturated soil and building structure is expressed as:

[0083]

[0084] Where: c 11 、c 12 These are all known process parameters.

[0085] The sixth parameter of the saturated soil and the building structure calculated by the present invention is expressed as:

[0086]

[0087] The seventh parameter of the present invention for calculating saturated soil and building structure is expressed as:

[0088]

[0089] Where: k1 is a known process parameter.

[0090] The eighth parameter of the present invention for calculating the saturated soil and the building structure is expressed as:

[0091]

[0092] Where: k r is the Rayleigh wave number in elastic soil, k β is the SV wave number in elastic soil, and k2 is a known process parameter.

[0093] The present invention obtains the Rayleigh wave number in elastic soil and the SV wave number in elastic soil through the shear wave velocity, longitudinal wave velocity and Rayleigh wave velocity of saturated soil and building structure.

[0094] The ninth parameter of the present invention for calculating saturated soil and building structure is expressed as:

[0095]

[0096] The present invention calculates the tenth parameter of saturated soil and building structure, which is expressed as:

[0097]

[0098] The present invention calculates the eleventh parameter of saturated soil and building structure, which is expressed as:

[0099]

[0100] The present invention calculates the twelfth parameter of saturated soil and building structure, which is expressed as:

[0101]

[0102] B3. Construct the target condition model of stress and displacement residuals, expressed as:

[0103]

[0104] Where: I0 is the residual of stress and displacement between saturated soil and building structure, R is the reflection coefficient between saturated soil and building structure, and T is the vibration loss between saturated soil and building structure.

[0105] B4. Calculate the vibration loss between saturated soil and building structure based on the foundation parameters of saturated soil and building structure, shear wave velocity, longitudinal wave velocity, Rayleigh wave velocity, saturated soil foundation related parameter model of stress and displacement residuals, and target condition model of stress and displacement residuals.

[0106] Step B4 includes the following steps:

[0107] B41. According to the basic parameters of saturated soil and building structure, shear wave velocity, longitudinal wave velocity, Rayleigh wave velocity, stress and displacement residual saturated soil foundation related parameter model and the target condition model of stress and displacement residual, the vibration loss solution model between saturated soil and building structure is constructed, which is expressed as:

[0108]

[0109] Among them: A is the first parameter of saturated soil and building structure, B is the second parameter of saturated soil and building structure, C is the third parameter of saturated soil and building structure, D is the fourth parameter of saturated soil and building structure, E is the fifth parameter of saturated soil and building structure, F is the sixth parameter of saturated soil and building structure, G is the seventh parameter of saturated soil and building structure, H is the eighth parameter of saturated soil and building structure, I is the ninth parameter of saturated soil and building structure, J is the tenth parameter of saturated soil and building structure, K is the eleventh parameter of saturated soil and building structure, and L is the twelfth parameter of saturated soil and building structure.

[0110] B42. According to the vibration loss solution model between saturated soil and building structure, the transmission coefficient between saturated soil and building structure is calculated, which is expressed as:

[0111]

[0112] Where: T is the transmission coefficient between saturated soil and building structure, R is the reflection coefficient between saturated soil and building structure,

[0113] B43. Calculate the vibration loss between saturated soil and building structure based on the transmission coefficient between saturated soil and building structure.

[0114] Specifically, in the present invention, the transmission coefficient between the saturated soil and the building structure is determined as the vibration loss coefficient between the saturated soil and the building structure, and then the vibration loss between the saturated soil and the building structure is directly obtained.

[0115] The present invention is described with reference to flowcharts and / or block diagrams of methods, devices (systems), and computer program products according to embodiments of the present invention. It should be understood that each process and / or block in the flowchart and / or block diagram, as well as the combination of processes and / or blocks in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to produce 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.

[0116] 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.

[0117] 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 in the computer or other programmable device. Figure 1 A process or multiple processes and / or boxes Figure 1 The steps for the functions specified in one or more boxes.

[0118] The present invention uses specific embodiments to illustrate the principles and implementation methods of the present invention. The description of the above embodiments is only used to help understand the method of the present invention and its core idea. At the same time, for those skilled in the art, according to the idea of ​​the present invention, there will be changes in the specific implementation methods and application scope. In summary, the content of this specification should not be understood as a limitation on the present invention.

[0119] Those skilled in the art will appreciate that the embodiments described herein are intended to help readers understand the principles of the present invention, and should be understood that the protection scope of the present invention is not limited to such specific statements and embodiments. Those skilled in the art can make various other specific variations and combinations that do not deviate from the essence of the present invention based on the technical revelations disclosed by the present invention, and these variations and combinations are still within the protection scope of the present invention.

Claims

1. A method for calculating vibration loss between saturated soil and building structure, characterized in that: The following steps are involved: S1. Construct a Rayleigh wave model of saturated soil and building structure, and obtain the transverse wave velocity, longitudinal wave velocity and Rayleigh wave velocity of saturated soil and building structure according to the Rayleigh wave model of saturated soil and building structure and basic parameters of saturated soil and building structure; S2. Construct a permeable boundary condition model, and obtain the potential function of Rayleigh waves in saturated soil according to the Rayleigh wave model of saturated soil and building structure and the permeable boundary condition; S3. Based on the reflection and transmission relationship of Rayleigh waves at discontinuities, a target model of stress and displacement residuals between saturated soil and building structures is constructed. According to the basic parameters of saturated soil and building structures, shear wave velocity, longitudinal wave velocity, Rayleigh wave velocity, potential function of Rayleigh waves in saturated soil, and target model of stress and displacement residuals between saturated soil and building structures, the vibration loss between saturated soil and building structures is calculated.

2. The method for calculating vibration loss between saturated soil and building structure according to claim 1, characterized in that: In step S3, based on the reflection and transmission relationship of Rayleigh waves at the discontinuity surface, a target model of stress and displacement residuals between saturated soil and building structure is constructed, including the following steps: A1. Construct a stress integral model for the incident Rayleigh wave between saturated soil and building structure at the medium discontinuity surface, expressed as: Where: I1 is the integral value of stress generated by the incident Rayleigh wave at the discontinuous surface of the medium, σ xx0 is the normal stress caused by the incident Rayleigh wave alone, σ xz0 is the shear stress caused by the incident Rayleigh wave alone; A2. Construct a displacement integral model for the incident Rayleigh wave between saturated soil and building structure at the medium discontinuity surface, expressed as: Where: I2 is the integral value of the displacement caused by the incident Rayleigh wave at the medium discontinuity surface, u0 is the displacement in the normal direction of the action plane caused by the incident Rayleigh wave alone, and w0 is the displacement in the stress direction caused by the incident Rayleigh wave alone; A3. According to the stress integral model and displacement integral model generated by the incident Rayleigh wave at the medium discontinuity surface between the saturated soil and the building structure, and based on the reflection and transmission relationship of Rayleigh wave at the discontinuity surface, the target model of stress and displacement residual between the saturated soil and the building structure is constructed, which is expressed as: Where: I0 is the residual of stress and displacement between saturated soil and building structure, σ xx is the normal stress on the left side of the interface between saturated soil and building structure, σ' xx is the normal stress on the right side of the interface between saturated soil and building structure, σ xz is the shear stress on the left side of the interface between saturated soil and building structure, σ' xz is the shear stress on the right side of the interface between saturated soil and building structure, where the first letter of the subscript indicates the direction of the action plane, and the second letter indicates the stress direction; u is the displacement on the left side of the interface between saturated soil and building structure, u' is the displacement on the right side of the interface between saturated soil and building structure, w is the displacement on the left side of the interface between saturated soil and building structure, and w' is the displacement on the right side of the interface between saturated soil and building structure.

3. The method for calculating vibration loss between saturated soil and building structure according to claim 1, characterized in that: In step S3, the vibration loss between the saturated soil and the building structure is calculated according to the basic parameters of the saturated soil and the building structure, the shear wave velocity, the longitudinal wave velocity, the Rayleigh wave velocity, the potential function of the Rayleigh wave in the saturated soil, and the target model of the stress and displacement residuals between the saturated soil and the building structure, including the following steps: B1. Based on the potential function of Rayleigh waves in saturated soil, the integrated data of displacement, stress and residual between saturated soil and building structure are obtained; B2. Based on the target model of stress and displacement residuals between saturated soil and building structure and the integrated data of displacement, stress and residuals between saturated soil and building structure, a saturated soil foundation related parameter model of stress and displacement residuals is constructed; B3. Construct the target condition model of stress and displacement residuals; B4. Calculate the vibration loss between saturated soil and building structure based on the foundation parameters of saturated soil and building structure, shear wave velocity, longitudinal wave velocity, Rayleigh wave velocity, saturated soil foundation related parameter model of stress and displacement residuals, and target condition model of stress and displacement residuals.

4. The method for calculating vibration loss between saturated soil and building structure according to claim 3, characterized in that: In step B2, the relevant parameter model of the saturated soil foundation of stress and displacement residuals is constructed and expressed as: I0=(A+J)(1+R) 2 +(B+E+H+K)T 2 +(D+G)(1-R) 2 +(C+L+F+I)T+(C+LFI)RT Wherein: I0 is the residual of stress and displacement between saturated soil and building structure, A is the first parameter of saturated soil and building structure, B is the second parameter of saturated soil and building structure, C is the third parameter of saturated soil and building structure, D is the fourth parameter of saturated soil and building structure, E is the fifth parameter of saturated soil and building structure, F is the sixth parameter of saturated soil and building structure, G is the seventh parameter of saturated soil and building structure, H is the eighth parameter of saturated soil and building structure, I is the ninth parameter of saturated soil and building structure, J is the tenth parameter of saturated soil and building structure, K is the eleventh parameter of saturated soil and building structure, L is the twelfth parameter of saturated soil and building structure, R is the reflection coefficient between saturated soil and building structure, T is the vibration loss between saturated soil and building structure.

5. The method for calculating vibration loss between saturated soil and building structure according to claim 3, characterized in that: In step B3, the target condition model of stress and displacement residuals is constructed, which is expressed as: Where: I0 is the residual of stress and displacement between saturated soil and building structure, R is the reflection coefficient between saturated soil and building structure, and T is the vibration loss between saturated soil and building structure.

6. The method for calculating vibration loss between saturated soil and building structure according to claim 3, characterized in that: Step B4 includes the following steps: B41. According to the basic parameters of saturated soil and building structure, shear wave velocity, longitudinal wave velocity, Rayleigh wave velocity, stress and displacement residual saturated soil foundation related parameter model and the target condition model of stress and displacement residual, the vibration loss solution model between saturated soil and building structure is constructed, which is expressed as: Wherein: A is the first parameter of saturated soil and building structure, B is the second parameter of saturated soil and building structure, C is the third parameter of saturated soil and building structure, D is the fourth parameter of saturated soil and building structure, E is the fifth parameter of saturated soil and building structure, F is the sixth parameter of saturated soil and building structure, G is the seventh parameter of saturated soil and building structure, H is the eighth parameter of saturated soil and building structure, I is the ninth parameter of saturated soil and building structure, J is the tenth parameter of saturated soil and building structure, K is the eleventh parameter of saturated soil and building structure, and L is the twelfth parameter of saturated soil and building structure; B42. According to the vibration loss solution model between saturated soil and building structure, the transmission coefficient between saturated soil and building structure is calculated, which is expressed as: Where: T is the transmission coefficient between saturated soil and building structure, R is the reflection coefficient between saturated soil and building structure, B43. Calculate the vibration loss between saturated soil and building structure based on the transmission coefficient between saturated soil and building structure.

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