Load structure analysis method and system considering stratum aging deformation

By constructing a viscoelastic model and combining elastic and viscous elements, the problem of the time-dependent characteristics of the foundation not being considered in the existing technology is solved, a more accurate load structure analysis is achieved, the rheological characteristics of the formation are simulated, and the accuracy of the analysis results is improved.

CN120654488APending Publication Date: 2025-09-16INST OF ROCK & SOIL MECHANICS CHINESE ACAD OF SCI
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Patent Information

Application Number
CN202510793308.4
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-06-13
Publication Date
2025-09-16

AI Technical Summary

Technical Problem

The existing load-structure analysis method assumes that the foundation is elastic and cannot take into account the time-dependent characteristics of the foundation, resulting in an inability to accurately analyze the impact of the foundation's rheological properties on structural stress and deformation.

Method used

A viscoelastic model is constructed by combining elastic and viscous elements. The parameters of the foundation viscoelastic model are obtained by fitting the time-dependent deformation curve of the stratum. Mechanical parameters are assigned at the interface between the structure and the foundation to perform load-structure analysis.

Benefits of technology

Taking the rheological characteristics of the strata into full consideration improves the accuracy of load structure analysis, can better simulate the mechanical behavior of complex soils, and obtain more accurate structural stress and deformation results.

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Abstract

The invention belongs to the technical field of rock-soil structure analysis, and provides a load structure analysis method and system considering stratum aging deformation, and the method comprises the steps: obtaining a stratum aging deformation curve and a structure space discrete network model; fitting the obtained stratum aging deformation curve to obtain a foundation viscoelastic model and parameters thereof; according to the obtained viscoelastic model of the foundation, combining elastic elements and viscous elements on grid nodes at the junction of the structure in the obtained spatial discrete network model and the foundation to obtain a viscoelastic structure for simulating the action of the foundation; based on the obtained structure space discrete network model, endowing the obtained viscoelastic structure with mechanical parameters by adopting a mode that the structure-stratum contact surface finite element grid area is equivalent to the contact surface grid node; and based on the structure stress condition, active load is applied to the structure, and load structure analysis considering stratum aging deformation is completed.
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Description

Technical Field

[0001] The present invention belongs to the technical field of rock and soil structure analysis, and particularly relates to a load structure analysis method and system taking into account the time-dependent deformation of strata. Background Art

[0002] The statements in this section merely provide background information related to the present invention and do not necessarily constitute prior art.

[0003] The load-structure method is a method used to analyze the stress and deformation of underground structures and is widely used in underground structure design. In the process of analyzing the stress and deformation of underground structures based on the load-structure method, an important assumption of this method is the elastic foundation assumption, that is, the foundation is considered to be elastic, and the effect of the foundation on the structure is simulated by springs during calculations. However, in actual geotechnical engineering, the strata generally have irreversible deformation characteristics. For example, when a tunnel passes through clay or silt strata, the strata around the tunnel will undergo irreversible deformation during long-term service, resulting in changes in the stress and deformation of the tunnel structure. The current load-structure analysis method assumes that the foundation is elastic and cannot analyze the impact of the time-dependent characteristics of the foundation on the stress and deformation of the structure. The rheological characteristics cannot be taken into account during the load-structure analysis process, which in turn affects the analysis results of the load structure. Summary of the Invention

[0004] To solve the above problems, the present invention proposes a load structure analysis method and system that takes into account the time-dependent deformation of the stratum. When analyzing structural stress and deformation using the load structure method, the rheological characteristics of the stratum are fully considered. By combining elastic elements and viscous elements to construct a combined element model for simulating complex soil mechanical behavior, the optimal viscoelastic model and model parameters that characterize the rheological characteristics of the stratum are obtained to complete the load structure analysis.

[0005] According to some embodiments, a first solution of the present invention provides a load structure analysis method that considers time-dependent deformation of formations, using the following technical solutions:

[0006] A load structure analysis method considering time-dependent deformation of strata includes:

[0007] Obtaining the time-dependent deformation curve of the formation and the discrete network model of the structural space;

[0008] Fit the acquired formation time-dependent deformation curve to obtain the foundation viscoelastic model and its parameters;

[0009] According to the obtained foundation viscoelastic model, elastic elements and viscous elements are combined at the grid nodes at the interface between the structure and the foundation in the obtained spatial discrete network model to obtain a viscoelastic structure for simulating the foundation effect;

[0010] Based on the obtained structural spatial discrete network model, the mechanical parameters of the obtained viscoelastic structure are assigned by using the method of equivalence between the finite element mesh area of ​​the structure-stratum interface and the mesh nodes of the interface.

[0011] Based on the structural stress conditions, active loads are applied to the structure to complete the load structure analysis considering the time-dependent deformation of the stratum.

[0012] As a further technical limitation, the obtained foundation viscoelastic model parameters include at least the foundation elastic resistance coefficient and the foundation viscous resistance coefficient; the mechanical parameters include at least the elastic parameters of the connection elements at the interface between the structure and the stratum and the viscous parameters of the connection elements at the interface between the structure and the stratum.

[0013] Furthermore, in the process of calculating the elastic parameters of the connection element at the interface between the structure and the stratum, the elastic parameters of the connection element at the interface between the structure and the stratum are obtained by multiplying the foundation elastic resistance coefficient by the area of ​​the finite element grid at the interface between the structure and the stratum.

[0014] Furthermore, in the process of calculating the viscosity parameters of the connection elements at the interface between the structure and the stratum, the viscosity parameters of the connection elements at the interface between the structure and the stratum are obtained by multiplying the foundation viscosity resistance coefficient by the area of ​​the finite element mesh at the interface between the structure and the stratum.

[0015] According to some embodiments, a second solution of the present invention provides a load structure analysis system that considers time-dependent deformation of formations, using the following technical solutions:

[0016] A load structure analysis system considering time-dependent deformation of strata, comprising:

[0017] an acquisition module configured to acquire a formation time-dependent deformation curve and a structural space discrete network model;

[0018] a calculation module configured to fit the acquired stratum time-dependent deformation curve to obtain a foundation viscoelastic model and its parameters; based on the acquired foundation viscoelastic model, combine elastic elements and viscous elements at the grid nodes at the interface between the structure and the foundation in the acquired spatial discrete network model to obtain a viscoelastic structure for simulating the foundation effect; and based on the acquired structural spatial discrete network model, assign mechanical parameters to the obtained viscoelastic structure by equivalence between the finite element grid area of ​​the structure-stratum interface and the grid nodes of the contact surface;

[0019] The analysis module is configured to apply active loads to the structure based on the structural stress conditions and complete load-structure analysis that takes into account the time-dependent deformation of the stratum.

[0020] According to some embodiments, a third solution of the present invention provides a computer-readable storage medium, which adopts the following technical solution:

[0021] A computer-readable storage medium stores a program thereon, which, when executed by a processor, implements the steps of a load structure analysis method considering time-dependent deformation of formations as described in the first embodiment of the present invention.

[0022] According to some embodiments, a fourth solution of the present invention provides an electronic device, which adopts the following technical solution:

[0023] An electronic device includes a memory, a processor, and a program stored in the memory and running on the processor. When the processor executes the program, the steps of a load structure analysis method considering the time-dependent deformation of the formation as described in the first embodiment of the present invention are implemented.

[0024] According to some embodiments, a fifth solution of the present invention provides a computer program product, which adopts the following technical solution:

[0025] A computer program product includes software codes, wherein the program in the software codes executes the steps of a load structure analysis method considering time-dependent deformation of formations as described in the first embodiment of the present invention.

[0026] Compared with the prior art, the present invention has the following beneficial effects:

[0027] When analyzing structural stress and deformation using the load-structure method, the present invention fully considers the rheological properties of the stratum. By combining elastic elements and viscous elements to construct a combined element model for simulating complex soil mechanical behavior, the optimal viscoelastic model and model parameters that characterize the rheological properties of the stratum are obtained, thereby completing the load-structure analysis. BRIEF DESCRIPTION OF THE DRAWINGS

[0028] The drawings constituting a part of the specification of this embodiment are used to provide a further understanding of this embodiment. The schematic embodiments and descriptions of this embodiment are used to explain this embodiment and do not constitute an improper limitation on this embodiment.

[0029] Figure 1 This is a flow chart of a load structure analysis method considering time-dependent deformation of formations in Example 1 of the present invention;

[0030] Figure 2 Schematic diagram of a flat plate load test in Example 1 of the present invention;

[0031] Figure 3 Schematic diagram of the aging deformation curve in Example 1 of the present invention;

[0032] Figure 4 Schematic diagram of a spatial discrete grid model in Embodiment 1 of the present invention;

[0033] Figure 5This is a schematic diagram of a foundation simulation based on Maxwell body in the first embodiment of the present invention;

[0034] Figure 6 Schematic diagram of the deflection distribution of the beam at different positions in the first embodiment of the present invention;

[0035] Figure 7 Schematic diagram of the evolution of the deflection of the beam midpoint at different times in the first embodiment of the present invention;

[0036] Figure 8 This is a structural block diagram of a load structure analysis system considering time-dependent deformation of formations in the second embodiment of the present invention. DETAILED DESCRIPTION

[0037] The present invention will be further described below with reference to the accompanying drawings and embodiments.

[0038] It should be noted that the following detailed descriptions are exemplary and intended to provide further explanation of the present invention. Unless otherwise specified, all technical and scientific terms used herein have the same meaning as commonly understood by those skilled in the art to which the present invention belongs.

[0039] It should be noted that the terms used herein are only for describing specific embodiments and are not intended to limit the exemplary embodiments according to the present invention. As used herein, unless the context clearly indicates otherwise, the singular form is intended to include the plural form. In addition, it should be understood that when the terms "comprise" and / or "include" are used in this specification, they indicate the presence of features, steps, operations, devices, components and / or combinations thereof.

[0040] In the present invention, terms such as "upper", "lower", "left", "right", "front", "back", "vertical", "horizontal", "side", "bottom", etc. indicating directions or positional relationships are based on the directions or positional relationships shown in the accompanying drawings. They are relational words determined only for the convenience of describing the structural relationships of the various parts or elements of the present invention, and do not specifically refer to any part or element in the present invention, and should not be understood as limiting the present invention.

[0041] In the present invention, terms such as "fixed connection," "connected," and "connection" should be interpreted broadly to mean a fixed connection, an integral connection, or a detachable connection; a direct connection or an indirect connection through an intermediary. Relevant researchers or technicians in this field may determine the specific meanings of these terms in the present invention based on specific circumstances, and they should not be construed as limitations of the present invention.

[0042] In the absence of conflict, the embodiments of the present invention and the features thereof may be combined with each other.

[0043] Example 1

[0044] The first embodiment of the present invention introduces a load structure analysis method that takes into account the time-dependent deformation of the stratum.

[0045] like Figure 1 A load structure analysis method considering time-dependent deformation of the stratum is shown, including:

[0046] Obtaining the time-dependent deformation curve of the formation and the discrete network model of the structural space;

[0047] Fit the acquired formation time-dependent deformation curve to obtain the foundation viscoelastic model and its parameters;

[0048] According to the obtained foundation viscoelastic model, elastic elements and viscous elements are combined at the grid nodes at the interface between the structure and the foundation in the obtained spatial discrete network model to obtain a viscoelastic structure for simulating the foundation effect;

[0049] Based on the obtained structural spatial discrete network model, the mechanical parameters of the obtained viscoelastic structure are assigned by using the method of equivalence between the finite element mesh area of ​​the structure-stratum interface and the mesh nodes of the interface.

[0050] Based on the structural stress conditions, active loads are applied to the structure to complete the load structure analysis considering the time-dependent deformation of the stratum.

[0051] This embodiment takes the foundation of a certain road section as an example to provide a detailed introduction to the load structure analysis.

[0052] For a roadbed Figure 2 The plate load test shown in the figure is combined with geological survey and test results as shown in the figure. Figure 3 The time-dependent deformation curve of the foundation shown in the figure is constructed by constructing the Maxwell body model Maxwell through different combination element models (such as the Maxwell model of elastic spring and viscous damper in series, the Kelvin model of elastic spring and viscous damper in parallel, etc.). The obtained time-dependent deformation curve of the foundation is fitted based on Maxwell to obtain the foundation viscoelastic model parameters.

[0053] It should be noted that constructing the Maxwell model and fitting the foundation time-dependent deformation curve based on the Maxwell model are existing technologies that those skilled in the art should know, and will not be described in detail in this embodiment.

[0054] The foundation viscoelastic model parameters obtained in this embodiment include at least: foundation elastic resistance coefficient and foundation viscous resistance coefficient; wherein, foundation elastic resistance coefficient k=2400×10 3 Pa / m, the foundation viscous resistance coefficient is η=7.076×10 11 Pa / (m / s).

[0055] In this embodiment, the roadbed is reinforced with jet grouting piles, and a continuous beam is formed between the piles by using grouting; a continuous beam is established according to the geometric dimensions of the beam. Figure 4 The spatial discrete grid model shown in the figure has a length, width and height of 2.88m, 0.8m and 0.7m respectively. According to the mechanical properties of the beam, a linear elastic mechanical model is given to it, with an elastic modulus of 81MPa and a Poisson's ratio of 0.35.

[0056] Combined with the constructed Maxwell model, the elastic element and the viscous element are connected in series at the bottom grid node where the beam and the foundation meet to form the following Figure 5 The Maxwell body used to simulate the foundation effect is shown; in the Maxwell body, the grid on the bottom surface of the beam is evenly distributed, with an area of ​​2.3m 2 , the total number of nodes (Maxwell components) is 451.

[0057] According to the elastic resistance coefficient of the foundation, the total elastic resistance coefficient at the structure-stratum interface is 2400×10 3 ×2.3=5520×10 3 N / m, and the elastic parameter of the elastic element on a single Maxwell element is 5520×10 3 / 451=12239N / m.

[0058] According to the foundation viscous resistance coefficient, the total viscous resistance coefficient at the structure-stratum interface is 7.076×10 11 ×2.3=16.274×10 11 N / (m / s), and the viscous element parameter on a single Maxwell element is 16.274×10 11 / 451=36×10 8 N / (m / s).

[0059] Combined with the obtained mechanical parameters of the viscoelastic structure, a sinusoidal load is applied to the top of the continuous beam so that the maximum load at the midpoint of the beam is 150 kPa. The following is obtained through finite element calculation: Figure 6 The deflection distribution diagram of the beam at different positions is shown in the figure, and Figure 7 Schematic diagram of the deflection evolution law of the midpoint of the beam at different times.

[0060] This embodiment fully considers the rheological characteristics of the stratum when analyzing structural stress and deformation using the load-structure method. By combining elastic elements and viscous elements to construct a combined element model for simulating complex soil mechanical behavior, the optimal viscoelastic model and model parameters that characterize the rheological characteristics of the stratum are obtained, thereby completing the load-structure analysis.

[0061] Example 2

[0062] The second embodiment of the present invention introduces a load structure analysis system that takes into account the time-dependent deformation of the stratum.

[0063] like Figure 8 A load structure analysis system considering time-dependent deformation of strata is shown, comprising:

[0064] an acquisition module configured to acquire a formation time-dependent deformation curve and a structural space discrete network model;

[0065] a calculation module configured to fit the acquired stratum time-dependent deformation curve to obtain a foundation viscoelastic model and its parameters; based on the acquired foundation viscoelastic model, combine elastic elements and viscous elements at the grid nodes at the interface between the structure and the foundation in the acquired spatial discrete network model to obtain a viscoelastic structure for simulating the foundation effect; and based on the acquired structural spatial discrete network model, assign mechanical parameters to the obtained viscoelastic structure by equivalence between the finite element grid area of ​​the structure-stratum interface and the grid nodes of the contact surface;

[0066] The analysis module is configured to apply active loads to the structure based on the structural stress conditions and complete load-structure analysis that takes into account the time-dependent deformation of the stratum.

[0067] The detailed steps are the same as those of the load structure analysis method considering the time-dependent deformation of the formation provided in Example 1, and will not be repeated here.

[0068] Example 3

[0069] A third embodiment of the present invention provides a computer-readable storage medium.

[0070] A computer-readable storage medium stores a program thereon, which, when executed by a processor, implements the steps of a load structure analysis method considering time-dependent deformation of formations as described in the first embodiment of the present invention.

[0071] The detailed steps are the same as those of the load structure analysis method considering the time-dependent deformation of the formation provided in Example 1, and will not be repeated here.

[0072] Example 4

[0073] A fourth embodiment of the present invention provides an electronic device.

[0074] An electronic device includes a memory, a processor, and a program stored in the memory and running on the processor. When the processor executes the program, the steps of a load structure analysis method considering time-dependent deformation of formations as described in Example 1 of the present invention are implemented.

[0075] The detailed steps are the same as those of the load structure analysis method considering the time-dependent deformation of the formation provided in Example 1, and will not be repeated here.

[0076] Example 5

[0077] A fifth embodiment of the present invention provides a computer program product.

[0078] A computer program product includes software code, wherein the program in the software code executes the steps of a load structure analysis method considering time-dependent deformation of formations as described in the first embodiment of the present invention.

[0079] The detailed steps are the same as those of the load structure analysis method considering the time-dependent deformation of the formation provided in Example 1, and will not be repeated here.

[0080] It will be understood by those skilled in the art that the embodiments of the present invention may be provided as methods, systems, or computer program products. Therefore, the present invention may take the form of a complete hardware embodiment, a complete software embodiment, or an embodiment combining software and hardware. Furthermore, the present invention may take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code. The solutions in the embodiments of the present invention may be implemented in various computer languages, for example, the object-oriented programming language Java and the interpreted scripting language JavaScript.

[0081] 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 flowcharts and / or block diagrams, as well as combinations of processes and / or blocks in the flowcharts and / or block diagrams, 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 flowcharts and / or block diagrams. 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.

[0082] These computer program instructions may also be stored in a computer readable memory that can direct a computer or other programmable data processing device to work in a specific manner, so that the instructions stored in the computer readable memory produce an article of manufacture comprising an instruction device, which implements the process Figure 1 a process or multiple processes and / or boxes Figure 1 The function specified in one or more boxes.

[0083] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operational steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing the instructions executed on the computer or other programmable device for implementing the process. Figure 1 a process or multiple processes and / or boxes Figure 1 A step that specifies a function in one or more boxes.

[0084] Although the preferred embodiments of the present invention have been described, those skilled in the art may make additional changes and modifications to these embodiments once they have learned the basic creative concept. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments and all changes and modifications that fall within the scope of the present invention.

[0085] Obviously, those skilled in the art may make various changes and modifications to the present invention without departing from the spirit and scope of the present invention. Thus, if such changes and modifications fall within the scope of the claims and their equivalents, the present invention is intended to include such changes and modifications.

[0086] The above description is merely a preferred embodiment of this embodiment and is not intended to limit this embodiment. Those skilled in the art will readily appreciate that this embodiment may be modified and varied in various ways. Any modifications, equivalent substitutions, or improvements made within the spirit and principles of this embodiment shall be within the scope of protection of this embodiment.

Claims

1. A load structure analysis method considering stratum time-dependent deformation, characterized in that: include: Obtaining the time-dependent deformation curve of the formation and the discrete network model of the structural space; Fit the acquired formation time-dependent deformation curve to obtain the foundation viscoelastic model and its parameters; According to the obtained foundation viscoelastic model, elastic elements and viscous elements are combined at the grid nodes at the interface between the structure and the foundation in the obtained spatial discrete network model to obtain a viscoelastic structure for simulating the foundation effect; Based on the obtained structural spatial discrete network model, the mechanical parameters of the obtained viscoelastic structure are assigned by using the method of equivalence between the finite element mesh area of ​​the structure-stratum interface and the mesh nodes of the interface. Based on the structural stress conditions, active loads are applied to the structure to complete the load structure analysis considering the time-dependent deformation of the stratum.

2. A load structure analysis method considering stratum time-dependent deformation as claimed in claim 1, characterized in that: The obtained foundation viscoelastic model parameters include at least the foundation elastic resistance coefficient and the foundation viscous resistance coefficient; the mechanical parameters include at least the elastic parameters of the connection elements at the interface between the structure and the stratum and the viscous parameters of the connection elements at the interface between the structure and the stratum.

3. A load structure analysis method considering stratum time-dependent deformation as claimed in claim 2, characterized in that: In the process of calculating the elastic parameters of the connection elements at the interface between the structure and the stratum, the elastic parameters of the connection elements at the interface between the structure and the stratum are obtained by multiplying the elastic resistance coefficient of the foundation by the area of ​​the finite element mesh at the interface between the structure and the stratum.

4. A load structure analysis method considering stratum time-dependent deformation as claimed in claim 2, characterized in that: In the process of calculating the viscosity parameters of the connection elements at the interface between the structure and the stratum, the viscosity parameters of the connection elements at the interface between the structure and the stratum are obtained by multiplying the foundation viscosity resistance coefficient by the area of ​​the finite element mesh at the interface between the structure and the stratum.

5. A load structure analysis system considering stratum time-dependent deformation, characterized in that: include: an acquisition module configured to acquire a formation time-dependent deformation curve and a structural space discrete network model; a calculation module configured to fit the acquired stratum time-dependent deformation curve to obtain a foundation viscoelastic model and its parameters; based on the acquired foundation viscoelastic model, combine elastic elements and viscous elements at the grid nodes at the interface between the structure and the foundation in the acquired spatial discrete network model to obtain a viscoelastic structure for simulating the foundation effect; and based on the acquired structural spatial discrete network model, assign mechanical parameters to the obtained viscoelastic structure by equivalence between the finite element grid area of ​​the structure-stratum interface and the grid nodes of the contact surface; The analysis module is configured to apply active loads to the structure based on the structural stress conditions and complete load-structure analysis that takes into account the time-dependent deformation of the stratum.

6. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the program is executed by a processor, the steps of a load structure analysis method considering time-dependent deformation of strata as claimed in any one of claims 1 to 4 are realized.

7. An electronic device comprising a memory, a processor, and a computer program stored in the memory and running on the processor, characterized in that: When the processor executes the program, the steps of a load structure analysis method considering time-dependent deformation of formations as described in any one of claims 1 to 4 are implemented.

8. A computer program product comprising software code, characterized in that The program in the software code executes the steps of a load structure analysis method considering time-dependent deformation of formations as described in any one of claims 1 to 4.