Method and system for obtaining internal forces in a pile-slab structure

Abstract

The application provides a method and system for obtaining internal force of a pile-slab structure, comprising: decomposing a pile-slab structure to be obtained into a transverse two-dimensional frame structure and a longitudinal two-dimensional frame structure; establishing a finite element model of the transverse two-dimensional frame structure; applying a ZK uniform live load of a subgrade at the pile-slab structure to be obtained to the transverse two-dimensional frame structure, and obtaining pile top axial forces N i of piles in the pile-slab structure to be obtained through the finite element model; obtaining a load transverse distribution coefficient of the pile-slab structure to be obtained according to the pile top axial forces according to a formula; and obtaining structural internal force of the pile-slab structure to be obtained according to the load transverse distribution coefficient. The proportion of train live load borne by the longitudinal two-dimensional frame structure is explicitly calculated, and the accuracy of the calculation result is ensured.

Description

TECHNICAL FIELD

[0001] The present application belongs to the field of pile-slab structure, and particularly relates to a method and system for obtaining structural internal force in a pile-slab structure. BACKGROUND

[0002] The pile-slab structure is a contact nonlinear structure system formed by rigid connection of reinforced concrete piles and reinforced concrete slabs and interacting with surrounding rock-soil bodies, has superior rigidity characteristics, and has small deformation under railway load. The pile-slab structure is widely used in areas with strict foundation deformation control, such as deep and soft foundation, karst, collapsible loess subgrade, and short subgrade between bridges and tunnels. In recent years, the pile-slab structure has been gradually used in the field of highways.

[0003] In the design of the pile-slab structure, a two-dimensional slab in the horizontal and vertical directions is generally simplified as a 'beam-pile-spring' frame structure, and then the finite element theory is used to calculate the internal force of the horizontal and vertical two-dimensional frame structures for reinforcement.

[0004] The train live load applied in the calculation of the horizontal two-dimensional frame structure can adopt the ZK uniform live load. The train live load applied in the calculation of the vertical two-dimensional frame structure adopts the ZK standard live load. However, the sharing proportion of the ZK standard live load on the single vertical two-dimensional frame structure is not clear. The sharing proportion of the train live load on each vertical two-dimensional frame structure depends on the lateral stiffness of the pile-slab structure. In actual design calculation, this sharing proportion is not accurately considered, resulting in large subjective randomness in the vertical calculation of the pile-slab structure, lack of rationality of the structural internal force and reinforcement, and leaving safety hazards or waste caused by excessive reinforcement. Therefore, it is necessary to propose a reliable load lateral distribution coefficient of the pile-slab structure in combination with the stress characteristics of the pile-slab structure, to improve the accuracy of the vertical calculation of the pile-slab structure and improve the safety of the structure.

[0005] In view of the above, the present application provides a calculation method of a load lateral distribution coefficient of a pile-slab structure. The calculation method is derived based on the mechanics of the pile-slab structure. The load lateral distribution coefficient of the pile-slab structure is calculated by using the counterforce method of the pile top. Compared with the lever principle method and the eccentric pressure method which are suitable for highway slab beam structures, the present method has clear mechanical significance and high calculation accuracy, and is particularly suitable for the numerical calculation of the pile-slab structure. SUMMARY

[0006] The main purpose of the embodiments of the present application is to provide a method and system for obtaining structural internal force in a pile-slab structure, so that the proportion of the train live load shared by the vertical two-dimensional frame structure is clearly calculated, and the accuracy of the calculation result is ensured.

[0007] In a first aspect, a method for obtaining structural internal force in a pile-slab structure is provided, and the method comprises:

[0008] The pile-slab structure to be obtained is decomposed into a horizontal two-dimensional frame structure and a vertical two-dimensional frame structure;

[0009] establishing a finite element model of the two-dimensional frame structure in the transverse and longitudinal directions;

[0010] applying the ZK uniform live load of the embankment at the pile-slab structure to be obtained to the two-dimensional frame structure in the transverse direction, and obtaining the pile top axial force N of each pile in the pile-slab structure to be obtained through the finite element model i ;

[0011] obtaining the load transverse distribution coefficient of the pile-slab structure to be obtained according to the pile top axial force according to the formula

[0012] obtaining the structural internal force of the pile-slab structure to be obtained according to the load transverse distribution coefficient, including: multiplying the ZK standard live load by the load transverse distribution coefficient, and applying the moving load on the two-dimensional frame structure in the longitudinal direction; obtaining the longitudinal internal force of the two-dimensional frame structure in the longitudinal direction under different conditions through the finite element model, obtaining a set of longitudinal internal forces; and performing envelope calculation on the set of longitudinal internal forces to obtain a set of longitudinal internal force envelopes.

[0013] In one possible implementation, the lateral constraint provided by the soil layer to the pile in the finite element model is determined by a spring, and the spring stiffness is determined by the horizontal foundation coefficient K of the soil layer.

[0014] In another possible implementation, the load transverse distribution coefficient obtaining formula is specifically: when the external load P acts on the pile-slab structure, the load acting on a single piece of the two-dimensional frame structure in the longitudinal direction is m i P, and the condition is: m i P=P-q 左 +q 右 , M+M 左 =M 右 , where N i is the pile top axial force, M is the pile top bending moment, q 左 , q 右 represent the shear forces generated by the constraints on both sides of the single piece of beam, and M 左 , M 右 are the bending moments generated by the constraints on both sides of the single piece of T-beam;

[0015] According to N i =P-q 左 +q 右 , the relationship between the load transverse distribution coefficient m and the pile top axial force N i is:

[0016] In a second aspect, a system for obtaining structural internal forces in a pile-slab structure is provided, and the system includes:

[0017] ​a decomposition module configured to decompose a pile-slab structure to be acquired into a lateral two-dimensional frame structure and a longitudinal two-dimensional frame structure;

[0018] a finite element model establishment module configured to establish a finite element model of the lateral and longitudinal two-dimensional frame structures;

[0019] a pile top axial force acquisition module configured to apply a ZK uniform live load of a subgrade at the pile-slab structure to be acquired to the lateral two-dimensional frame structure and acquire pile top axial forces N i of piles in the pile-slab structure to be acquired through the finite element model;

[0020] a load lateral distribution coefficient acquisition module configured to acquire a load lateral distribution coefficient of the pile-slab structure to be acquired according to the pile top axial force acquisition formula ;

[0021] a structure internal force acquisition module configured to acquire structure internal forces of the pile-slab structure to be acquired according to the load lateral distribution coefficient, including: multiplying a ZK standard live load by the load lateral distribution coefficient and applying the load in the form of a moving load on the longitudinal two-dimensional frame structure; acquiring longitudinal internal forces of the longitudinal two-dimensional frame structure in different cases through the finite element model to acquire a longitudinal internal force set; and performing envelope calculation on the longitudinal internal force set to acquire a longitudinal internal force envelope set.

[0022] In one possible implementation, lateral constraints provided by a soil layer to a pile in the finite element model are determined by a spring, and a spring stiffness is determined by a horizontal foundation coefficient K of the soil layer.

[0023] In another possible implementation, the load lateral distribution coefficient acquisition formula is specifically: when an external load P acts on the pile-slab structure, a load of the external load acting on a single piece of the longitudinal two-dimensional frame structure is m i P, and satisfies the condition: m i P=P-q 左 +q 右 , M+M 左 =M 右 , where N i is a pile top axial force, M is a pile top bending moment, q 左 , q 右 represent shear forces generated by constraints on both sides of a single piece of beam, and M 左 , M 右 are bending moments generated by constraints on both sides of a single piece of T-beam.

[0024] According to N i =P-q 左 +q 右 , a relationship between the load lateral distribution coefficient m and the pile top axial force N i is: Attached Figure Description

[0025] To more clearly illustrate the technical solutions in the embodiments of this application, the accompanying drawings used in the description of the embodiments of this application will be briefly introduced below.

[0026] Figure 1 A flowchart of a method for obtaining internal forces in a pile-slab structure according to an embodiment of the present invention;

[0027] Figure 2 This is a structural diagram of a system for obtaining internal forces in a pile-slab structure according to an embodiment of the present invention;

[0028] Figure 3 This is a schematic diagram of the physical structure of an electronic device according to the present invention.

[0029] Specific implementation method

[0030] The embodiments of this application are described in detail below. Examples of these embodiments are shown in the accompanying drawings, wherein the same or similar reference numerals denote the same or similar modules or modules having the same or similar functions throughout. The embodiments described below with reference to the accompanying drawings are exemplary and are only used to explain this application, and should not be construed as limiting the invention.

[0031] Those skilled in the art will understand that, unless specifically stated otherwise, the singular forms “a,” “an,” “the,” and “the” used herein may also include the plural forms. It should be further understood that the term “comprising” as used in this application means the presence of the stated features, integers, steps, operations, modules, and / or components, but does not exclude the presence or addition of one or more other features, integers, steps, operations, modules, components, and / or groups thereof. It should be understood that when we say a module is “connected” or “coupled” to another module, it can be directly connected or coupled to the other module, or there may be an intermediate module. Furthermore, “connected” or “coupled” as used herein can include wireless connection or wireless coupling. The term “and / or” as used herein includes all or any of the modules and all combinations thereof of one or more associated listed items.

[0032] To make the objectives, technical solutions, and advantages of this application clearer, the implementation of this application will be described in further detail below with reference to the accompanying drawings.

[0033] The technical solutions of this application and how they solve the aforementioned technical problems will be described in detail below with specific embodiments. These specific embodiments can be combined with each other, and the same or similar concepts or processes may not be repeated in some embodiments. The embodiments of this application will now be described with reference to the accompanying drawings.

[0034] As Figure 1 shown is a flow chart of a method for obtaining internal forces of a pile-slab structure according to an embodiment of the present application, the method comprising:

[0035] Step 101, decompose the pile-slab structure to be obtained into a transverse two-dimensional frame structure and a longitudinal two-dimensional frame structure;

[0036] Step 102, establish a finite element model of the transverse and longitudinal two-dimensional frame structures;

[0037] Step 103, apply the ZK uniform live load of the subgrade at the pile-slab structure to be obtained to the transverse two-dimensional frame structure, and obtain the pile top axial force N i of each pile in the pile-slab structure to be obtained through the finite element model;

[0038] Step 104, obtain the load transverse distribution coefficient of the pile-slab structure to be obtained according to the pile top axial force according to the formula ;

[0039] Step 105, obtain the internal forces of the pile-slab structure to be obtained according to the load transverse distribution coefficient, including: multiplying the ZK standard live load by the load transverse distribution coefficient, and applying it in the form of a moving load on the longitudinal two-dimensional frame structure; obtaining the longitudinal internal forces of the longitudinal two-dimensional frame structure under different conditions through the finite element model, obtaining a set of longitudinal internal forces; and envelope calculating the set of longitudinal internal forces to obtain a set of longitudinal internal force envelopes.

[0040] In the embodiment of the present application, the internal forces of the pile-slab structure include longitudinal internal forces and transverse internal forces. In the specific obtaining process, the pile-slab structure to be obtained is first decomposed into a transverse two-dimensional frame structure and a longitudinal two-dimensional frame structure, a finite element model of the transverse two-dimensional frame structure is established, the ZK uniform live load of the subgrade at the position of the pile-slab structure to be obtained is loaded onto the transverse two-dimensional frame structure, and the pile top axial force N i of each pile in the pile-slab structure is obtained through the aforementioned finite element model. The pile top axial force N i is brought into a preset transverse distribution coefficient obtaining formula , so as to obtain the load transverse distribution coefficient of the pile-slab structure to be obtained. Finally, the internal forces of the pile-slab structure to be obtained are obtained according to the load transverse distribution coefficient.

[0041] For the load transverse distribution coefficient obtaining formula , the derivation process is as follows: when the external load P acts on the entire pile-slab structure to be obtained, due to the transverse stiffness of the pile-slab structure, the load distributed to the single longitudinal "beam-pile-spring" frame structure is m i P. According to the transverse two-dimensional structure static analysis in the prior art, it is known that:

[0042] wherein N i is the axial force at the top of the pile, M is the bending moment at the top of the pile, q1 and q2 respectively represent the shear force generated by the constraint on both sides of the single-beam in the pile-slab structure, M and M respectively represent the bending moment generated by the constraint on both sides of the single T-beam in the pile-slab structure, and P represents the external load, and according to the prior art, N i =P-q1+q2, thus, according to the derivation, it can be obtained that

[0043] wherein the lateral constraint provided by the soil layer to the pile in the finite element model is determined by a spring, and the spring stiffness is determined by the horizontal ground coefficient K of the soil layer.

[0044] wherein the load transverse distribution coefficient acquisition formula is specific to: when the external load P acts on the pile-slab structure, the load of the external load acting on the single longitudinal two-dimensional frame structure is m i P, and the condition is: m i P=P-q 左 +q 右 , M+M 左 =M 右 , wherein N i is the axial force at the top of the pile, M is the bending moment at the top of the pile, q 左 , q 右 respectively represent the shear force generated by the constraint on both sides of the single-beam, M 左 , M 右 are the bending moments generated by the constraint on both sides of the single T-beam.

[0045] According to Ni=P-qleft+qright, the relationship between the load transverse distribution coefficient m and the axial force Ni at the top of the pile is:

[0046] In the embodiment of the present application, the load transverse distribution coefficient m of the pile-slab structure, the principle is that when the external load P acts on the entire pile-slab structure, due to the lateral stiffness of the pile-slab structure, the load distributed to the single longitudinal “beam-pile-spring” frame structure is m i P. According to the static analysis of the transverse two-dimensional structure, the following conditions are met

[0047] m i P=P-q 左 +q 右

[0048] M+M 左 =M 右

[0049] wherein N i is the axial force at the top of the pile, M is the bending moment at the top of the pile, q 左 , q 右respectively represent the shear force generated by the constraints on both sides of the single beam, M 左 、 右 M i represent the bending moment generated by the constraints on both sides of the single T-beam, and P represents the external load on the beam.

[0050] And N 左 = P - q 右

[0051] Therefore, the relationship between the load transverse distribution coefficient m and the pile top axial force N i , that is,

[0052]

[0053] wherein Ni is the pile top axial force of the i-th pile of the transverse two-dimensional frame structure under the action of the transverse ZK uniform live load, and n represents the number of piles in the transverse two-dimensional frame structure.

[0054] In the embodiment of the present application, the pile-slab structure to be obtained is decomposed into a transverse two-dimensional frame structure and a longitudinal two-dimensional frame structure; a finite element model of the transverse two-dimensional frame structure is established; the ZK uniform live load of the subgrade at the pile-slab structure to be obtained is applied to the transverse two-dimensional frame structure, and the pile top axial force N i of each pile in the pile-slab structure to be obtained is obtained through the finite element model; the load transverse distribution coefficient of the pile-slab structure to be obtained is obtained according to the pile top axial force according to a preset transverse distribution coefficient obtaining formula ; and the structural internal force of the pile-slab structure to be obtained is obtained according to the load transverse distribution coefficient. The proportion of the train live load borne by the longitudinal two-dimensional frame structure is clearly calculated, and the accuracy of the calculation result is ensured.

[0055] As Figure 2 shown is a structural diagram of a system for obtaining structural internal force in a pile-slab structure provided by an embodiment of the present application, and the system comprises:

[0056] A decomposition module 201 is configured to decompose a pile-slab structure to be obtained into a transverse two-dimensional frame structure and a longitudinal two-dimensional frame structure.

[0057] A finite element model establishing module 202 is configured to establish finite element models of the transverse and longitudinal two-dimensional frame structures.

[0058] A pile top axial force obtaining module 203 is configured to apply the ZK uniform live load of the subgrade at the pile-slab structure to be obtained to the transverse two-dimensional frame structure, and obtain the pile top axial force N i of each pile in the pile-slab structure to be obtained through the finite element model.

[0059] A load transverse distribution coefficient obtaining module 204 is configured to obtain the load transverse distribution coefficient of the pile-slab structure to be obtained according to the pile top axial force according to a formula obtain the load transverse distribution coefficient of the pile-slab structure to be obtained;

[0060] The structure internal force obtaining module 205 is configured to obtain the structure internal force of the pile-slab structure to be obtained according to the load transverse distribution coefficient, including: multiplying the ZK standard live load by the load transverse distribution coefficient, and applying the load in the form of a moving load on the longitudinal two-dimensional frame structure; obtaining the longitudinal internal force of the longitudinal two-dimensional frame structure in different cases through the finite element model to obtain a longitudinal internal force set; and performing envelope calculation on the longitudinal internal force set to obtain a longitudinal internal force envelope set.

[0061] In the embodiment of the present application, the structure internal force of the pile-slab structure includes longitudinal internal force and transverse internal force. In the specific obtaining process, the pile-slab structure to be obtained is first decomposed into a transverse two-dimensional frame structure and a longitudinal two-dimensional frame structure, a finite element model of the transverse two-dimensional frame structure is established, the ZK uniform live load of the subgrade at the position of the pile-slab structure to be obtained is loaded on the transverse two-dimensional frame structure, the pile top axial force N i of each pile in the pile-slab structure is obtained through the finite element model established in the foregoing, and the pile top axial force N i is brought into a preset transverse distribution coefficient obtaining formula to obtain the load transverse distribution coefficient of the pile-slab structure to be obtained, and finally the structure internal force of the pile-slab structure to be obtained is obtained according to the load transverse distribution coefficient.

[0062] For the load transverse distribution coefficient obtaining formula , the derivation process is as follows: when the external load P acts on the entire pile-slab structure to be obtained, due to the transverse stiffness of the pile-slab structure, the load acting on the single longitudinal “beam-pile-spring” frame structure is m i P, according to the static analysis of the transverse two-dimensional structure in the prior art, it is known that: wherein N i is the pile top axial force, M is the pile top bending moment, q1 and q2 respectively represent the shear force generated by the constraint on both sides of the single T beam in the pile-slab structure, M and M respectively represent the bending moment generated by the constraint on both sides of the single T beam in the pile-slab structure, and P represents the external load, and according to the prior art, N i =P-q1+q2, therefore, according to the derivation, it can be obtained that

[0063] wherein the load transverse distribution coefficient obtaining formula is specifically: when the external load P acts on the pile-slab structure, the load acting on the single longitudinal two-dimensional frame structure is m i P, and the condition is: m i P=P-q 左 +q 右 , M+M 左 =M右 where N i is the axial force at the pile top, M is the bending moment at the pile top, q 左 , q 右 represent the shear force on the two sides of the single beam, M 左 , M 右 represent the bending moment on the two sides of the single T-beam, and P represents the external load on the beam.

[0064] According to Ni = P - qleft + qright, the relationship between the load transverse distribution coefficient m and the axial force Ni at the pile top is as follows:

[0065] In the embodiment of the present application, the load transverse distribution coefficient m of the pile plate structure is based on the principle that when the external load P acts on the entire pile plate structure, due to the transverse stiffness of the pile plate structure, the load distributed on the single longitudinal "beam-pile-spring" frame structure is m i P. According to the static analysis of the transverse two-dimensional structure, the following conditions are met

[0066] m i P = P - q 左 + q 右

[0067] M + M 左 = M 右

[0068] where N i is the axial force at the pile top, M is the bending moment at the pile top, q 左 , q 右 represent the shear force on the two sides of the single beam, M 左 , M 右 represent the bending moment on the two sides of the single T-beam, and P represents the external load on the beam.

[0069] And N i = P - q 左 + q 右

[0070] Therefore, the relationship between the load transverse distribution coefficient m and the axial force N i at the pile top can be derived, that is,

[0071]

[0072] where Ni is the axial force at the pile top of the i-th pile under the action of the transverse ZK uniformly distributed live load, and n represents the number of piles in the transverse two-dimensional frame structure.

[0073] In this embodiment of the invention, the pile-slab structure to be acquired is decomposed into a transverse two-dimensional frame structure and a longitudinal two-dimensional frame structure; a finite element model of the transverse two-dimensional frame structure is established; the ZK uniformly distributed live load of the roadbed at the pile-slab structure to be acquired is applied to the transverse two-dimensional frame structure, and the axial force N at the top of each pile in the pile-slab structure to be acquired is obtained through the finite element model. i The formula is obtained based on the axial force at the pile top according to the preset lateral distribution coefficient. The lateral load distribution coefficient of the pile-slab structure to be acquired is obtained; the internal forces of the pile-slab structure to be acquired are then obtained based on the lateral load distribution coefficient. This allows for a clear calculation of the proportion of train live load shared by the longitudinal two-dimensional frame structure, ensuring the accuracy of the calculation results.

[0074] Figure 3 An example is a schematic diagram of the physical structure of an electronic device, such as... Figure 3 As shown, the electronic device may include: a processor 301, a communication interface 302, a memory 303, and a communication bus 304, wherein the processor, communication interface, and memory communicate with each other through the communication bus. The processor can call logical instructions in the memory to execute a method for obtaining the internal forces in a pile-slab structure. This method includes: decomposing the pile-slab structure to be obtained into a transverse two-dimensional frame structure and a longitudinal two-dimensional frame structure; establishing finite element models of the transverse and longitudinal two-dimensional frame structures; applying the ZK uniformly distributed live load of the roadbed at the pile-slab structure to be obtained to the transverse two-dimensional frame structure; and obtaining the axial force N at the top of each pile in the pile-slab structure through the finite element model. i According to the formula based on the axial force at the pile top. Obtain the lateral load distribution coefficient of the pile-slab structure to be acquired; obtain the structural internal forces of the pile-slab structure to be acquired based on the lateral load distribution coefficient, including: multiplying the ZK standard live load by the lateral load distribution coefficient and applying it to the longitudinal two-dimensional frame structure in the form of a moving load; obtaining the longitudinal internal forces of the longitudinal two-dimensional frame structure under different conditions through the finite element model, and obtaining the longitudinal internal force set; performing envelope calculation on the longitudinal internal force set to obtain the longitudinal internal force envelope set.

[0075] In addition, the logic instructions in the memory described above can be implemented in the form of software functional units and sold or used as independent products, and can be stored in a computer readable storage medium. Based on such understanding, the technical solutions of the present application essentially or the parts that contribute to the prior art or parts of the technical solutions can be embodied in the form of a software product, and the computer software product is stored in a storage medium, including a plurality of instructions for making a computer device (which can be a personal computer, a server, or a network device, etc.) execute all or part of the steps of the methods described in various embodiments of the present application. The foregoing storage medium includes: a U disk, a mobile hard disk, a read-only memory (ROM, Read-Only Memory), a random access memory (RAM, Random Access Memory), a magnetic disk or an optical disk, and various media that can store program codes.

[0076] In another aspect, the embodiments of the present application also provide a computer program product, which comprises a computer program stored on a non-transitory computer readable storage medium, and the computer program comprises program instructions, when the program instructions are executed by a computer, the computer can execute the method for obtaining the internal force of the pile-slab structure provided by the above-mentioned method embodiments, and the method comprises the following steps: decomposing a pile-slab structure to be obtained into a transverse two-dimensional frame structure and a longitudinal two-dimensional frame structure; establishing a finite element model of the transverse and longitudinal two-dimensional frame structures; applying a ZK uniform live load of a subgrade at the pile-slab structure to be obtained to the transverse two-dimensional frame structure, and obtaining pile top axial forces N i of each pile in the pile-slab structure to be obtained through the finite element model according to the pile top axial forces; obtaining a load transverse distribution coefficient of the pile-slab structure to be obtained according to the pile top axial forces according to the formula ; obtaining the internal force of the structure of the pile-slab structure to be obtained according to the load transverse distribution coefficient, which comprises: multiplying the ZK standard live load by the load transverse distribution coefficient, and applying the load in the form of a moving load on the longitudinal two-dimensional frame structure; obtaining the longitudinal internal force of the longitudinal two-dimensional frame structure under different conditions through the finite element model to obtain a longitudinal internal force set; and performing envelope calculation on the longitudinal internal force set to obtain a longitudinal internal force envelope set.

[0077] In yet another aspect, the embodiments of the present application also provide a non-transitory computer readable storage medium having stored thereon a computer program, which, when executed by a processor, implements the method for obtaining the internal force of a pile-slab structure provided by the above-mentioned embodiments, the method comprising: decomposing a pile-slab structure to be obtained into a transverse two-dimensional frame structure and a longitudinal two-dimensional frame structure; establishing a finite element model of the transverse and longitudinal two-dimensional frame structures; applying a ZK uniform live load of a subgrade at the pile-slab structure to be obtained to the transverse two-dimensional frame structure, and obtaining pile top axial forces N i of each pile in the pile-slab structure to be obtained through the finite element model; obtaining a load transverse distribution coefficient of the pile-slab structure to be obtained according to the pile top axial forces; and obtaining the internal force of the pile-slab structure to be obtained according to the load transverse distribution coefficient, comprising: multiplying the ZK standard live load by the load transverse distribution coefficient, and applying the load in the form of a moving load on the longitudinal two-dimensional frame structure; obtaining longitudinal internal forces of the longitudinal two-dimensional frame structure under different conditions through the finite element model, to obtain a longitudinal internal force set; and performing envelope calculation on the longitudinal internal force set to obtain a longitudinal internal force envelope set.

[0078] It should be understood that, although each step in the flowchart of the accompanying drawings is shown in sequence according to the direction of the arrow, these steps are not necessarily executed in sequence according to the direction of the arrow. Unless otherwise specified herein, the execution of these steps is not strictly limited in sequence, and they can be executed in other sequences. Moreover, at least part of the steps in the flowchart of the accompanying drawings can include multiple sub-steps or multiple stages, which are not necessarily executed at the same time, but can be executed at different times, and the execution sequence is not necessarily sequential, but can be executed in rotation or alternation with at least part of other steps or sub-steps or stages of other steps.

[0079] The above only describes some implementation manners of the present application, and it should be noted that, for those skilled in the art, some improvements and refinements can be made without departing from the principles of the present application, and these improvements and refinements should also be considered as falling within the protection scope of the present application.

Claims

1. A method for obtaining internal forces in a pile-slab structure, characterized in that, The method includes: The pile-slab structure to be acquired is decomposed into a horizontal two-dimensional frame structure and a vertical two-dimensional frame structure. Establish finite element models of the horizontal and vertical two-dimensional frame structure; The ZK uniformly distributed live load of the roadbed at the pile-slab structure to be acquired is applied to the transverse two-dimensional frame structure, and the axial force N at the top of each pile in the pile-slab structure to be acquired is obtained through the finite element model. i ; According to the axial force at the pile top, the formula is as follows: Obtain the lateral load distribution coefficient of the pile-slab structure to be acquired; The method for obtaining the structural internal forces of the pile-slab structure to be acquired based on the load lateral distribution coefficient includes: multiplying the ZK standard live load by the load lateral distribution coefficient and applying it to the longitudinal two-dimensional frame structure in the form of a moving load; obtaining the longitudinal internal forces of the longitudinal two-dimensional frame structure under different conditions through the finite element model to obtain the longitudinal internal force set; and performing envelope calculation on the longitudinal internal force set to obtain the longitudinal internal force envelope set. The formula for obtaining the lateral load distribution coefficient is as follows: When an external load P acts on the pile-slab structure, the load of the external load acting on a single piece of the lateral two-dimensional frame structure is m. i P, and satisfying the condition: m i P=Pq 左 +q 右 M+M 左 =M 右 , where N i q is the axial force at the pile top, M is the bending moment at the pile top, and q is the axial force at the pile top. 左 q 右 M represents the shear force generated by the constraints on both sides of a single beam. 左 M 右 The bending moment generated by the constraints on both sides of a single T-beam; According to N i =Pq 左 +q 右 The lateral load distribution coefficient m and the axial force N at the pile top are obtained. i The relationship is: .

2. The method as described in claim 1, characterized in that, In the finite element model, the lateral constraint provided by the soil layer to the pile is determined by the spring, and the spring stiffness is determined by the horizontal subgrade coefficient K of the soil layer.

3. A system for obtaining internal forces in a pile-slab structure, characterized in that, The system includes: The decomposition module is used to decompose the pile-slab structure to be acquired into a horizontal two-dimensional frame structure and a vertical two-dimensional frame structure. The finite element model building module is used to build finite element models of the horizontal and vertical two-dimensional frame structure. The pile top axial force acquisition module is used to apply the ZK uniformly distributed live load of the roadbed at the pile-slab structure to be acquired to the transverse two-dimensional frame structure, and to acquire the pile top axial force N of each pile in the pile-slab structure to be acquired through the finite element model. i ; The load lateral distribution coefficient acquisition module is used to obtain the load based on the axial force at the pile top according to the acquisition formula. Obtain the lateral load distribution coefficient of the pile-slab structure to be acquired; The structural internal force acquisition module is used to acquire the structural internal forces of the pile-slab structure to be acquired based on the load lateral distribution coefficient, including: multiplying the ZK standard live load by the load lateral distribution coefficient and applying it to the longitudinal two-dimensional frame structure in the form of a moving load; acquiring the longitudinal internal forces of the longitudinal two-dimensional frame structure under different conditions through the finite element model to obtain the longitudinal internal force set; and performing envelope calculation on the longitudinal internal force set to obtain the longitudinal internal force envelope set. The formula for obtaining the lateral load distribution coefficient is as follows: When an external load P acts on the pile-slab structure, the load of the external load acting on a single piece of the lateral two-dimensional frame structure is m. i P, and satisfying the condition: m i P=Pq 左 +q 右 M+M 左 =M 右 , where N i q is the axial force at the pile top, M is the bending moment at the pile top, and q is the axial force at the pile top. 左 q 右 M represents the shear force generated by the constraints on both sides of a single beam. 左 M 右 The bending moment generated by the constraints on both sides of a single T-beam; According to N i =Pq 左 +q 右 The lateral load distribution coefficient m and the axial force N at the pile top are obtained. i The relationship is: .

4. The system as described in claim 3, characterized in that, In the finite element model, the lateral constraint provided by the soil layer to the pile is determined by the spring, and the spring stiffness is determined by the horizontal subgrade coefficient K of the soil layer.

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