Pile group foundation bearing platform displacement calculation method and system and storage medium
By processing the frictional and horizontal forces in the characteristic data of the pier, and combining them with the target displacement equation, the problem of coordinate transformation influence in the displacement calculation of rotating piers was solved, achieving more accurate displacement calculation and improving the safety and economy of the design.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- FOSHAN ELECTRIC POWER DESIGN INSTITUTE CO LTD
- Filing Date
- 2026-02-11
- Publication Date
- 2026-05-12
AI Technical Summary
Existing technologies fail to effectively consider the effects of coordinate transformation when calculating the displacement of rotating bearings, resulting in significant deviations between the calculated results and the actual situation, which affects the safety and economy of the design.
The characteristic data of the pier cap are processed by a preset friction force algorithm and a horizontal force algorithm. The maximum static friction force and the bottom horizontal force of the pier cap are calculated. The contact state between the pier cap and the foundation is determined by combining the target displacement equation, and an appropriate displacement equation is selected for calculation.
This improves the accuracy of foundation displacement calculation, ensuring that the calculation results are closer to the actual stress state, and enhances the safety and economy of the design.
Smart Images
Figure CN122019923A_ABST
Abstract
Description
Technical Field
[0001] This application relates to the field of pile foundation design technology, and in particular to a method, system and storage medium for calculating the displacement of pile caps in pile foundations. Background Technology
[0002] Currently, industries such as construction, highways, and railways typically calculate the vertical displacement, horizontal displacement, and rotation angle of pile foundation caps using traditional formulas (such as those listed in the appendix of the "Technical Specification for Building Pile Foundations" (JGJ94-2008)).
[0003] In the design of power pole foundations, due to the large horizontal load, in order to reduce the bending moment transmitted to the bottom of the pile cap and to ensure uniform stress on each pile, the pile cap of the pile group foundation is often rotated by a preset angle (such as 45°) and the main columns are eccentrically positioned. This measure can effectively control the amount of concrete and steel reinforcement used, and improve the structural economy.
[0004] However, when the pier cap rotates by a certain angle (e.g., 45°), the horizontal force in a certain direction in the original coordinate system decreases significantly after coordinate transformation, even approaching zero. If the traditional method is still used to calculate the displacement in this direction, the calculation results will deviate significantly from the actual situation because the effects of slip judgment and coordinate transformation are not considered, affecting design safety and economy. Therefore, a displacement calculation method that considers the pier cap slip state and coordinate system transformation is urgently needed. Summary of the Invention
[0005] Based on this, in order to solve the problems existing in the above-mentioned methods for calculating the displacement of pile foundation caps, a method, system and storage medium for calculating the displacement of pile foundation caps are provided.
[0006] Firstly, this application provides a method for calculating the displacement of the pile cap in a pile group foundation, including:
[0007] Obtain the characteristic data of the foundation;
[0008] Based on a preset friction algorithm, the feature data is processed to obtain the maximum static friction force at the bottom of the foundation.
[0009] Based on the preset horizontal force algorithm, the feature data is processed to obtain the bottom horizontal force at the bottom of the foundation.
[0010] Based on the bottom horizontal force and the maximum static friction force, the target displacement equation is selected to process the characteristic data and obtain the target displacement data of the pier cap.
[0011] In one embodiment, the target displacement equation includes a first displacement equation and a second displacement equation;
[0012] Based on the bottom horizontal force and the maximum static friction force, the target displacement equation is selected to process the characteristic data, resulting in the target displacement data of the pier cap, including:
[0013] When the horizontal force at the bottom is less than or equal to the maximum static friction force, the characteristic data is processed based on the first displacement equation to obtain the target displacement data of the pier.
[0014] When the horizontal force at the bottom is greater than the maximum static friction force, the characteristic data is processed based on the second displacement equation to obtain the target displacement data of the pier.
[0015] In one embodiment, the target displacement data of the pier cap includes the target vertical displacement and the target horizontal displacement of the pier cap;
[0016] The first displacement equation includes a set of static equilibrium equations established based on the displacement compatibility condition of the pile cap as a rigid body and the linear relationship between the pile top reaction force and the pile top displacement.
[0017] In one embodiment, the first displacement equation includes:
[0018]
[0019]
[0020] in, For the target vertical displacement, For the target horizontal displacement, For the vertical force of the foundation, The weight of the foundation. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit vertical displacement.
[0021] In one embodiment, the target displacement data of the pier cap includes the target vertical displacement and the target horizontal displacement of the pier cap;
[0022] The second displacement equation includes setting the frictional force at the bottom of the pier as the maximum static frictional force, and establishing a new set of static equilibrium equations based on this to calculate the target displacement data of the pier.
[0023] In one embodiment, the second displacement equation includes:
[0024]
[0025]
[0026] in, For the target vertical displacement, For the target horizontal displacement, For the vertical force of the foundation, The weight of the foundation. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit vertical displacement. This is the reverse bending moment experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance exerted on the pier cap when it undergoes a unit vertical displacement. H is the horizontal resistance force on the pier when the pier undergoes a unit horizontal displacement, H is the preset value of the horizontal force acting on the bottom of the pier, and M is the preset value of the bending moment acting on the bottom of the pier.
[0027] In one embodiment, the preset friction algorithm is:
[0028]
[0029] in, For the maximum static friction force, The coefficient of friction, For the vertical force of the foundation, This refers to the weight of the foundation.
[0030] In one embodiment, the preset horizontal force algorithm is as follows:
[0031]
[0032]
[0033]
[0034] in, For the target vertical displacement, For the target horizontal displacement, Turn the corner towards your target. For the vertical force of the foundation, The weight of the foundation. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit vertical displacement. This represents the vertical resistance experienced by the foundation cap when it undergoes a unit horizontal displacement. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance exerted on the pier cap when it undergoes a unit vertical displacement. This refers to the horizontal resistance force exerted on the pier cap when the pier cap undergoes a unit horizontal displacement. This refers to the horizontal resistance experienced by the pier cap when it undergoes a unit rotation. This represents the reaction moment experienced by the pier cap when it undergoes a unit vertical displacement. This is the inverse bending moment experienced by the pier cap when it undergoes a unit horizontal displacement. H is the reverse bending moment experienced by the pier cap when the pier cap undergoes a unit rotation angle, H is the preset value of the horizontal force acting on the bottom of the pier cap, and M is the preset value of the bending moment acting on the bottom of the pier cap.
[0035] In one embodiment, the target displacement data of the pier cap also includes the target rotation angle of the pier cap; the first displacement equation also includes:
[0036]
[0037] in, Turn the corner towards your target. M is the reverse bending moment experienced by the pier cap when the pier cap undergoes a unit rotation angle, and M is the preset value of the bending moment acting on the bottom of the pier cap.
[0038] In one embodiment, the target displacement data of the pier cap also includes the target rotation angle of the pier cap; the second displacement equation also includes:
[0039]
[0040] in, Turn the corner towards your target. For the vertical force of the foundation, The weight of the foundation. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit vertical displacement. This is the reverse bending moment experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance exerted on the pier cap when it undergoes a unit vertical displacement. H is the horizontal resistance force on the pier when the pier undergoes a unit horizontal displacement, H is the preset value of the horizontal force acting on the bottom of the pier, and M is the preset value of the bending moment acting on the bottom of the pier.
[0041] Secondly, embodiments of this application also provide a pile group foundation cap displacement calculation system, including a processor; the processor is used to execute the steps of the pile group foundation cap displacement calculation method described above.
[0042] Thirdly, embodiments of this application also provide a computer-readable storage medium storing a computer program, which, when executed by a processor, implements the steps of any of the above-described methods for calculating the displacement of a pile foundation cap.
[0043] One of the above technical solutions has the following advantages and beneficial effects:
[0044] In the aforementioned method for calculating the displacement of pile foundation caps, characteristic data of the cap are obtained; based on a preset friction algorithm, the characteristic data are processed to obtain the maximum static friction force at the bottom of the cap; based on a preset horizontal force algorithm, the characteristic data are processed to obtain the bottom horizontal force at the bottom of the cap; based on the bottom horizontal force and the maximum static friction force, a target displacement equation is selected to process the characteristic data to obtain the target displacement data of the cap, thus achieving accurate displacement calculation of the pile foundation cap. This application, by performing friction and horizontal force calculations on the characteristic data of the cap, obtains the maximum static friction force and bottom horizontal force at the bottom of the cap; by processing the maximum static friction force and bottom horizontal force at the bottom of the cap, the contact state between the cap and the foundation is determined, i.e., whether the cap has slipped; and based on the processing results, a target displacement equation is selected to process the characteristic data to obtain the target displacement data of the cap, improving the accuracy of the cap displacement calculation, achieving a calculation that more closely matches the actual stress state of the cap, and improving the safety and economy of cap design. Attached Figure Description
[0045] Figure 1 This is a schematic diagram illustrating the application environment of the pile group foundation cap displacement calculation method in the embodiments of this application;
[0046] Figure 2 This is a flowchart illustrating the method for calculating the displacement of the pile cap of a group foundation in this application.
[0047] Figure 3 This is a flowchart illustrating the steps for calculating the target displacement data of the pier in an embodiment of this application.
[0048] Figure 4 This is a schematic diagram of the eccentric arrangement of the main columns for the rotating foundation in this embodiment of the application. Detailed Implementation
[0049] To enable those skilled in the art to better understand the present application, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present application, and not all embodiments. Based on the embodiments in the present application, all other embodiments obtained by those of ordinary skill in the art without creative effort should fall within the scope of protection of the present application.
[0050] It should be noted that the terms "first," "second," etc., in the specification, claims, and accompanying drawings of this application are used to distinguish similar objects and are not necessarily used to describe a specific order or sequence. It should be understood that such data can be interchanged where appropriate for the embodiments of this application described herein. Furthermore, the terms "comprising" and "having," and any variations thereof, are intended to cover non-exclusive inclusion; for example, a process, method, system, product, or apparatus that comprises a series of steps or units is not necessarily limited to those steps or units explicitly listed, but may include other steps or units not explicitly listed or inherent to such processes, methods, products, or apparatus.
[0051] In addition, the term "multiple" should mean two or more.
[0052] It should be noted that, unless otherwise specified, the embodiments and features described in this application can be combined with each other. This application will now be described in detail with reference to the accompanying drawings and embodiments.
[0053] The method for calculating the displacement of pile caps in pile group foundations provided in this application can be applied to, for example... Figure 1 The application environment shown is illustrated. The processing device includes a processor 102 and a memory 104. The processor 102 is connected to the memory 104, which stores data such as feature data, maximum static friction force, bottom horizontal force, and target displacement data of the bearing platform. The processor 102 acquires the feature data of the bearing platform; processes the feature data based on a preset friction force algorithm to obtain the maximum static friction force at the bottom of the bearing platform; processes the feature data based on a preset horizontal force algorithm to obtain the bottom horizontal force at the bottom of the bearing platform; and processes the feature data based on the bottom horizontal force and the maximum static friction force using a target displacement equation to obtain the target displacement data of the bearing platform. The processing device also includes a display 106, which is connected to the processor 102 and is used to visually display the feature data, maximum static friction force, bottom horizontal force, and target displacement data of the bearing platform.
[0054] In one embodiment, such as Figure 2 As shown, a method for calculating the displacement of pile caps in pile group foundations is also provided, which is applied to... Figure 1 Taking the processor as an example, the process includes the following steps:
[0055] Step S210: Obtain the characteristic data of the foundation.
[0056] A pile group foundation is a composite foundation system formed by connecting multiple piles through a rigid pile cap. Its mechanical properties are characterized by a spatial rigid frame structure with coordinated action between the pile cap, piles, and soil. The pile cap is an important component of the pile group foundation, referring to the integral structure formed by connecting the tops of the piles through a reinforced concrete platform, used to bear the building loads. The characteristic data of the pile cap may include the weight, vertical force, vertical resistance, horizontal resistance, and bending moment of the corresponding pile cap.
[0057] Step S220: Based on the preset friction algorithm, process the feature data to obtain the maximum static friction force at the bottom of the pier.
[0058] The maximum static friction force at the bottom of the foundation refers to the maximum static friction force at the contact surface between the foundation and the ground. The preset friction force algorithm can be established based on the static friction force calculation formula.
[0059] By inputting the feature data into a preset friction algorithm for processing, the maximum static friction force at the bottom of the pier is obtained.
[0060] Step S230: Based on the preset horizontal force algorithm, process the feature data to obtain the bottom horizontal force at the bottom of the foundation.
[0061] The preset horizontal force algorithm can be established based on the displacement compatibility equation, bending moment balance equation, and horizontal force balance equation of the corresponding pier cap. The bottom horizontal force at the bottom of the pier cap refers to the horizontal force between the pier cap and the foundation.
[0062] The bottom horizontal force of the pile cap is obtained by processing the feature data into a preset horizontal force algorithm. It should be noted that in one example, the bottom horizontal force is calculated by an externally applied horizontal load; in another example, the bottom horizontal force is obtained by solving a preliminary overall analysis model (for example, treating the pile cap as a rigid body, where the pile top force and displacement satisfy a linear relationship).
[0063] Step S240: Based on the bottom horizontal force and the maximum static friction force, select the target displacement equation to process the characteristic data and obtain the target displacement data of the pier.
[0064] The target displacement equation can be obtained according to the system preset. For example, the target displacement equation may include at least two displacement equations. Then, based on the processing results of the bottom horizontal force and the maximum static friction force, the corresponding displacement equation can be selected from each displacement equation. Based on the selected displacement equation, the characteristic data is processed to obtain the target displacement data of the pier. This enables the determination of whether relative slippage has occurred between the pier and the foundation based on the bottom horizontal force and the maximum static friction force, and the calculation of the pier displacement using the corresponding displacement equation, thereby improving the accuracy of the pier displacement calculation.
[0065] In the above embodiments, characteristic data of the pile cap are acquired; the characteristic data are processed based on a preset friction algorithm to obtain the maximum static friction force at the bottom of the pile cap; the characteristic data are processed based on a preset horizontal force algorithm to obtain the bottom horizontal force at the bottom of the pile cap; based on the bottom horizontal force and the maximum static friction force, a target displacement equation is selected to process the characteristic data to obtain the target displacement data of the pile cap, thereby achieving accurate displacement calculation of the pile cap of the pile group foundation. This application obtains the maximum static friction force and bottom horizontal force at the bottom of the pile cap by performing friction and horizontal force calculations on the characteristic data of the pile cap; by processing the maximum static friction force and bottom horizontal force at the bottom of the pile cap, the contact state between the pile cap and the foundation is determined, i.e., whether the pile cap has slipped; and based on the processing results, a target displacement equation is selected to process the characteristic data to obtain the target displacement data of the pile cap, improving the accuracy of the pile cap displacement calculation, achieving a calculation that more closely matches the actual stress state of the pile cap, and improving the safety and economy of the pile cap design.
[0066] In one embodiment, the target displacement equation includes a first displacement equation and a second displacement equation; wherein the first displacement equation and the second displacement equation can be obtained according to a system preset. The first displacement equation is the displacement equation corresponding to the situation where no slippage occurs between the pile cap and the foundation; the second displacement equation is the displacement equation corresponding to the situation where slippage occurs between the pile cap and the foundation.
[0067] like Figure 3 As shown, based on the bottom horizontal force and the maximum static friction force, the target displacement equation is selected to process the characteristic data, resulting in the target displacement data of the pier cap, including:
[0068] Step S310: When the horizontal force at the bottom is less than or equal to the maximum static friction force, the characteristic data is processed based on the first displacement equation to obtain the target displacement data of the pier.
[0069] For example, the bottom horizontal force is compared with the maximum static friction force. Based on the processing results, when the bottom horizontal force is less than or equal to the maximum static friction force, it is determined that no relative slippage has occurred between the foundation and the ground. Then, the characteristic data is input into the first displacement equation for processing to obtain the target displacement data of the foundation, which overcomes the problem of large displacement calculation deviation when the horizontal force is small in the traditional method.
[0070] Step S320: When the horizontal force at the bottom is greater than the maximum static friction force, the characteristic data is processed based on the second displacement equation to obtain the target displacement data of the pier.
[0071] The bottom horizontal force is compared with the maximum static friction force. Based on the result, when the bottom horizontal force is greater than the maximum static friction force, it is determined that relative slippage has occurred between the pier and the foundation. The characteristic data is then input into the second displacement equation for processing to obtain the target displacement data of the pier.
[0072] In the above embodiments, by performing friction force calculation and horizontal force calculation on the characteristic data of the pile cap, the maximum static friction force and bottom horizontal force of the pile cap are obtained. By processing the maximum static friction force and bottom horizontal force of the pile cap, the contact state between the pile cap and the foundation is determined, that is, whether the pile cap has slipped. Based on the processing results, when the bottom horizontal force is less than or equal to the maximum static friction force, the characteristic data is processed based on the first displacement equation to obtain the target displacement data of the pile cap. When the bottom horizontal force is greater than the maximum static friction force, the characteristic data is processed based on the second displacement equation to obtain the target displacement data of the pile cap. This improves the accuracy of the pile cap displacement calculation, realizes a calculation that is more in line with the actual stress state of the pile cap, and improves the safety and economy of the pile cap design. It is particularly suitable for pile group foundations with rotating pile caps, such as power poles, and has good engineering applicability and promotion value.
[0073] In one embodiment, the target displacement data of the pile cap includes the target vertical displacement and the target horizontal displacement of the pile cap; the first displacement equation includes a set of static equilibrium equations established based on the displacement compatibility condition of the pile cap as a rigid body and the linear relationship between the pile top reaction force and the pile top displacement.
[0074] For example, the first displacement equation includes:
[0075]
[0076]
[0077] in, For the target vertical displacement, For the target horizontal displacement, For the vertical force of the foundation, The weight of the foundation. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit vertical displacement.
[0078] For example, the characteristic data includes the vertical force of the foundation, the weight of the foundation, and the vertical resistance experienced by the foundation when it undergoes a unit vertical displacement. By comparing the bottom horizontal force with the maximum static friction force, it is determined that no relative slippage has occurred between the foundation and the foundation when the bottom horizontal force is less than or equal to the maximum static friction force. Then, the vertical force, weight, and vertical resistance experienced by the foundation when it undergoes a unit vertical displacement are input into the first displacement equation for processing to obtain the target vertical and target horizontal displacements of the corresponding foundation. This overcomes the problem of large displacement calculation deviations when the horizontal force is small in traditional methods and improves the accuracy of foundation displacement calculation.
[0079] In one embodiment, the target displacement data of the pier includes the target vertical displacement and the target horizontal displacement of the pier; the second displacement equation includes: setting the frictional force at the bottom of the pier as the maximum static frictional force, and establishing a new set of static equilibrium equations based on this to calculate the target displacement data of the pier.
[0080] For example, the second displacement equation includes:
[0081]
[0082]
[0083] in, For the target vertical displacement, For the target horizontal displacement, For the vertical force of the foundation, The weight of the foundation. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit vertical displacement. This is the reverse bending moment experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance exerted on the pier cap when it undergoes a unit vertical displacement. H is the horizontal resistance force on the pier when the pier undergoes a unit horizontal displacement, H is the preset value of the horizontal force acting on the bottom of the pier, and M is the preset value of the bending moment acting on the bottom of the pier.
[0084] For example, the feature data includes the vertical force of the foundation, the weight of the foundation, the vertical resistance of the foundation when the foundation undergoes a unit vertical displacement, the reverse bending moment of the foundation when the foundation undergoes a unit rotation, the horizontal resistance of the foundation when the foundation undergoes a unit rotation, the horizontal resistance of the foundation when the foundation undergoes a unit vertical displacement, the horizontal resistance of the foundation when the foundation undergoes a unit horizontal displacement, the preset value of the horizontal force acting on the bottom of the foundation, and the preset value of the bending moment acting on the bottom of the foundation. By comparing the bottom horizontal force with the maximum static friction force, when the bottom horizontal force exceeds the maximum static friction force, it is determined that relative slippage has occurred between the foundation and the ground. Then, the vertical force, weight, vertical resistance of the foundation under a unit vertical displacement, reverse bending moment of the foundation under a unit rotation, horizontal resistance of the foundation under a unit rotation, horizontal resistance of the foundation under a unit vertical displacement, horizontal resistance of the foundation under a unit horizontal displacement, preset values of the horizontal force and bending moment acting on the bottom of the foundation are input into the second displacement equation for processing. This yields the target vertical and horizontal displacements of the corresponding foundation. By determining whether the foundation has slipped, calculations that more closely reflect the actual stress state of the foundation are achieved, improving the safety and economy of foundation design.
[0085] In one embodiment, the preset friction algorithm is as follows:
[0086]
[0087] in, For the maximum static friction force, The coefficient of friction, For the vertical force of the foundation, This refers to the weight of the foundation.
[0088] For example, the vertical force, weight, and friction coefficient of the foundation are obtained, and these parameters are input into a preset friction algorithm for processing, thereby obtaining the maximum static friction force at the bottom of the foundation. It should be noted that the friction coefficient can be pre-stored in a data table in memory. The processor can then use a lookup method, based on the foundation's identification information, to query the data table in memory to obtain the corresponding friction coefficient.
[0089] In one embodiment, the preset horizontal force algorithm is as follows:
[0090]
[0091]
[0092]
[0093] in, For the target vertical displacement, For the target horizontal displacement, Turn the corner towards your target. For the vertical force of the foundation, The weight of the foundation. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit vertical displacement. This represents the vertical resistance experienced by the foundation cap when it undergoes a unit horizontal displacement. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance exerted on the pier cap when it undergoes a unit vertical displacement. This refers to the horizontal resistance force exerted on the pier cap when the pier cap undergoes a unit horizontal displacement. This refers to the horizontal resistance experienced by the pier cap when it undergoes a unit rotation. This represents the reaction moment experienced by the pier cap when it undergoes a unit vertical displacement. This is the inverse bending moment experienced by the pier cap when it undergoes a unit horizontal displacement. H is the reverse bending moment experienced by the pier cap when the pier cap undergoes a unit rotation angle, H is the preset value of the horizontal force acting on the bottom of the pier cap, and M is the preset value of the bending moment acting on the bottom of the pier cap.
[0094] It should be noted that H is calculated using the following formula. M is calculated using the following formula: .in, For the horizontal force at the top of the foundation, For the height of the foundation, This is the eccentric distance.
[0095] For example, by inputting characteristic data into a preset horizontal force algorithm for coordinate transformation, the load is converted to the coordinate system after the foundation is rotated, and the bottom horizontal force after rotation is calculated. For example, the bottom horizontal force can be H- In another example, the bottom horizontal force could also be + .
[0096] For example, the contact state between the pile cap and the foundation is determined by comparing the maximum static friction force and the horizontal force at the bottom of the pile cap. At that time, it was determined that there was no relative slippage between the pile cap and the foundation. Then, based on the first displacement equation, the characteristic data was processed to obtain the target displacement data of the pile cap. When relative slippage occurs between the pier cap and the foundation, the characteristic data is processed based on the second displacement equation to obtain the target displacement data of the pier cap. This improves the accuracy of the pier cap displacement calculation, enables calculations that better reflect the actual stress state of the pier cap, and enhances the safety and economy of pier cap design.
[0097] In one embodiment, the target displacement data of the pier cap also includes the target rotation angle of the pier cap; the first displacement equation also includes:
[0098]
[0099] in, Turn the corner towards your target. M is the reverse bending moment experienced by the pier cap when the pier cap undergoes a unit rotation angle, and M is the preset value of the bending moment acting on the bottom of the pier cap.
[0100] For example, the feature data also includes the reverse bending moment experienced by the pier cap when it undergoes a unit rotation and the preset value of the bending moment acting on the bottom of the pier cap. By comparing the bottom horizontal force with the maximum static friction force, it is determined that no relative slippage has occurred between the pier cap and the foundation when the bottom horizontal force is less than or equal to the maximum static friction force. Then, the reverse bending moment experienced by the pier cap when it undergoes a unit rotation and the preset value of the bending moment acting on the bottom of the pier cap are input into the first displacement equation for processing to obtain the target rotation angle of the corresponding pier cap. This improves the accuracy and completeness of the pier cap displacement calculation and is beneficial for using the calculation results for pier cap foundation design verification and optimization.
[0101] In one embodiment, the target displacement data of the pier cap also includes the target rotation angle of the pier cap; the second displacement equation also includes:
[0102]
[0103] in, Turn the corner towards your target. For the vertical force of the foundation, The weight of the foundation. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit vertical displacement. This is the reverse bending moment experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance exerted on the pier cap when it undergoes a unit vertical displacement. H is the horizontal resistance force on the pier when the pier undergoes a unit horizontal displacement, H is the preset value of the horizontal force acting on the bottom of the pier, and M is the preset value of the bending moment acting on the bottom of the pier.
[0104] For example, the feature data includes the vertical force of the foundation, the weight of the foundation, the vertical resistance of the foundation when the foundation undergoes a unit vertical displacement, the reverse bending moment of the foundation when the foundation undergoes a unit rotation, the horizontal resistance of the foundation when the foundation undergoes a unit rotation, the horizontal resistance of the foundation when the foundation undergoes a unit vertical displacement, the horizontal resistance of the foundation when the foundation undergoes a unit horizontal displacement, the preset value of the horizontal force acting on the bottom of the foundation, and the preset value of the bending moment acting on the bottom of the foundation. By comparing the bottom horizontal force with the maximum static friction force, when the bottom horizontal force exceeds the maximum static friction force, it is determined that relative slippage has occurred between the foundation and the ground. Then, the vertical force, weight, vertical resistance of the foundation per unit vertical displacement, reverse bending moment of the foundation per unit rotation, horizontal resistance of the foundation per unit rotation, horizontal resistance of the foundation per unit vertical displacement, horizontal resistance of the foundation per unit horizontal displacement, preset values of the horizontal force and bending moment acting on the bottom of the foundation are input into the second displacement equation for processing. This yields the target rotation angle of the corresponding foundation. By determining whether the foundation has slipped, calculations that more closely reflect the actual stress state of the foundation are achieved, improving the accuracy and completeness of the foundation displacement calculation. This facilitates the use of the calculation results for foundation design verification and optimization.
[0105] In one example, such as Figure 4As shown, the specific process of calculating the displacement of the pile cap in a pile group foundation is as follows: Based on the actual engineering situation, obtain characteristic data such as the pile cap dimensions, pile layout, load conditions (e.g., vertical force N, horizontal force Fx in the X direction, horizontal force Fy in the Y direction, bending moment Mx about the X axis, bending moment My about the Y axis), and foundation soil parameters. Perform coordinate transformation on the characteristic data to convert the load to the coordinate system after the pile cap is rotated, and calculate the horizontal force Fx' in the X direction and the horizontal force Fy' in the Y direction after rotation. Based on the preset friction algorithm, calculate the maximum static friction force at the bottom of the pile cap. Based on the maximum static friction, it is determined whether horizontal forces in each direction cause slippage. According to the slippage determination results, the corresponding target displacement equation is selected to calculate the vertical displacement, horizontal displacement, and rotation angle of the foundation, achieving accurate calculation of the foundation displacement. This allows the calculation results to be used for foundation design verification and optimization, improving the accuracy of foundation displacement calculation. It should be noted that... Figure 4 The image shows the foundation layout after the pier cap is rotated 45°.
[0106] It should be understood that, although Figures 2 to 3 The steps in the flowchart are shown sequentially as indicated by the arrows, but these steps are not necessarily executed in the order indicated by the arrows. Unless otherwise specified in this document, there is no strict order in which these steps are executed, and they can be performed in other orders. Furthermore, Figures 2 to 3 At least some of the steps in the process may include multiple sub-steps or multiple stages. These sub-steps or stages are not necessarily completed at the same time, but can be executed at different times. The execution order of these sub-steps or stages is not necessarily sequential, but can be executed in turn or alternately with other steps or at least some of the sub-steps or stages of other steps.
[0107] In one embodiment, this application provides a device for calculating the displacement of a pile group foundation cap, comprising:
[0108] The data acquisition unit is used to acquire the characteristic data of the pier.
[0109] The friction calculation unit is used to process the feature data based on a preset friction algorithm to obtain the maximum static friction force at the bottom of the foundation.
[0110] The horizontal force calculation unit is used to process the feature data based on a preset horizontal force algorithm to obtain the bottom horizontal force at the bottom of the foundation.
[0111] The displacement calculation unit is used to select the target displacement equation based on the bottom horizontal force and the maximum static friction force, process the characteristic data, and obtain the target displacement data of the pier cap.
[0112] Specific limitations regarding the pile group foundation cap displacement calculation device can be found in the limitations of the pile group foundation cap displacement calculation method mentioned above, and will not be repeated here. Each module in the aforementioned pile group foundation cap displacement calculation device can be implemented entirely or partially through software, hardware, or a combination thereof. These modules can be embedded in the processor of the pile group foundation cap displacement calculation system in hardware form or independent of it, or they can be stored in the memory of the pile group foundation cap displacement calculation system in software form, so that the processor can call and execute the corresponding operations of each module.
[0113] In one embodiment, this application also provides a pile group foundation cap displacement calculation system, including a processor; the processor is used to execute the steps of the pile group foundation cap displacement calculation method described above.
[0114] For example, the processor acquires the characteristic data of the pile cap; based on a preset friction algorithm, it processes the characteristic data to obtain the maximum static friction force at the bottom of the pile cap; based on a preset horizontal force algorithm, it processes the characteristic data to obtain the bottom horizontal force at the bottom of the pile cap; based on the bottom horizontal force and the maximum static friction force, it selects a target displacement equation to process the characteristic data to obtain the target displacement data of the pile cap, thus achieving accurate displacement calculation of the pile cap of the pile group foundation. This application uses a processor to perform friction and horizontal force calculations on the characteristic data of the pile cap to obtain the maximum static friction force and bottom horizontal force at the bottom of the pile cap; by processing the maximum static friction force and bottom horizontal force at the bottom of the pile cap, the processor determines the contact state between the pile cap and the foundation, i.e., whether the pile cap has slipped; and based on the processing results, it selects a target displacement equation to process the characteristic data to obtain the target displacement data of the pile cap, improving the accuracy of the pile cap displacement calculation, achieving a calculation that more closely matches the actual stress state of the pile cap, and improving the safety and economy of the pile cap design.
[0115] In one embodiment, this application also provides a computer-readable storage medium storing a computer program, which, when executed by a processor, implements the steps of any of the above-described methods for calculating the displacement of a pile group foundation cap.
[0116] For example, when a computer program is executed by a processor, it performs the following steps:
[0117] The system acquires the characteristic data of the pile cap; processes the characteristic data based on a preset friction algorithm to obtain the maximum static friction force at the bottom of the pile cap; processes the characteristic data based on a preset horizontal force algorithm to obtain the bottom horizontal force at the bottom of the pile cap; and processes the characteristic data according to the bottom horizontal force and the maximum static friction force to obtain the target displacement data of the pile cap, thereby achieving accurate displacement calculation of the pile cap of the pile group foundation.
[0118] Those skilled in the art will understand that all or part of the processes in the above embodiments can be implemented by a computer program instructing related hardware. The computer program can be stored in a non-volatile computer-readable storage medium. When executed, the computer program can include the processes of the embodiments of the division operations described above. Any references to memory, storage, databases, or other media used in the embodiments provided in this application can include non-volatile and / or volatile memory. Non-volatile memory can include read-only memory (ROM), programmable ROM (PROM), electrically programmable ROM (EPROM), electrically erasable programmable ROM (EEPROM), or flash memory. Volatile memory can include random access memory (RAM) or external cache memory. By way of illustration and not limitation, RAM is available in various forms, such as static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), dual data rate SDRAM (DDRSDRAM), enhanced SDRAM (ESDRAM), synchronous link DRAM (SLDRAM), direct memory bus RAM (RDRAM), direct memory bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM), etc.
[0119] The technical features of the above embodiments can be combined in any way. For the sake of brevity, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.
[0120] The embodiments described above are merely illustrative of several implementation methods of this application, and while the descriptions are relatively specific and detailed, they should not be construed as limiting the scope of the patent application. It should be noted that those skilled in the art can make various modifications and improvements without departing from the concept of this application, and these all fall within the protection scope of this application. Therefore, the protection scope of this patent application should be determined by the appended claims.
Claims
1. A method for calculating the displacement of pile caps in a pile group foundation, characterized in that, include: Obtain the characteristic data of the foundation; Based on a preset friction algorithm, the feature data is processed to obtain the maximum static friction force at the bottom of the pier. Based on a preset horizontal force algorithm, the feature data is processed to obtain the bottom horizontal force at the bottom of the pier. Based on the bottom horizontal force and the maximum static friction force, the target displacement equation is selected to process the characteristic data to obtain the target displacement data of the pier.
2. The method for calculating the displacement of pile caps in a pile group foundation according to claim 1, characterized in that, The target displacement equation includes a first displacement equation and a second displacement equation; The step of selecting a target displacement equation based on the bottom horizontal force and the maximum static friction force to process the characteristic data and obtain the target displacement data of the pier cap includes: When the bottom horizontal force is less than or equal to the maximum static friction force, the characteristic data is processed based on the first displacement equation to obtain the target displacement data of the pier. When the bottom horizontal force is greater than the maximum static friction force, the characteristic data is processed based on the second displacement equation to obtain the target displacement data of the pier.
3. The method for calculating the displacement of pile caps in a pile group foundation according to claim 2, characterized in that, The target displacement data of the pier includes the target vertical displacement and the target horizontal displacement of the pier; The first displacement equation includes a set of static equilibrium equations established based on the displacement compatibility condition of the pile cap as a rigid body and the linear relationship between the pile top reaction force and the pile top displacement.
4. The method for calculating the displacement of pile caps in a pile group foundation according to claim 3, characterized in that, The first displacement equation includes: in, For the target vertical displacement, For the target horizontal displacement, For the vertical force of the foundation, The weight of the foundation. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit vertical displacement.
5. The method for calculating the displacement of pile caps in a pile group foundation according to claim 2, characterized in that, The target displacement data of the pier includes the target vertical displacement and the target horizontal displacement of the pier; The second displacement equation includes: setting the frictional force at the bottom of the pier as the maximum static frictional force, and establishing a new set of static equilibrium equations based on this to calculate the target displacement data of the pier.
6. The method for calculating the displacement of pile caps in a pile group foundation according to claim 5, characterized in that, The second displacement equation includes: in, For the target vertical displacement, For the target horizontal displacement, For the vertical force of the foundation, The weight of the foundation. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit vertical displacement. This is the reverse bending moment experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance exerted on the pier cap when it undergoes a unit vertical displacement. H is the horizontal resistance force on the pier when the pier undergoes a unit horizontal displacement, H is the preset value of the horizontal force acting on the bottom of the pier, and M is the preset value of the bending moment acting on the bottom of the pier.
7. The method for calculating the displacement of pile caps in a pile group foundation according to claim 1, characterized in that, The preset friction force algorithm is as follows: in, For maximum static friction, The coefficient of friction, For the vertical force of the foundation, This refers to the weight of the foundation.
8. The method for calculating the displacement of pile caps in a pile group foundation according to claim 1, characterized in that, The preset horizontal force algorithm is as follows: in, For the target vertical displacement, For the target horizontal displacement, Turn the corner towards your target. For the vertical force of the foundation, The weight of the foundation. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit vertical displacement. This represents the vertical resistance experienced by the foundation cap when it undergoes a unit horizontal displacement. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance exerted on the pier cap when it undergoes a unit vertical displacement. This refers to the horizontal resistance force exerted on the pier cap when the pier cap undergoes a unit horizontal displacement. This refers to the horizontal resistance experienced by the pier cap when it undergoes a unit rotation. This represents the reaction moment experienced by the pier cap when it undergoes a unit vertical displacement. This is the inverse bending moment experienced by the pier cap when it undergoes a unit horizontal displacement. H is the reverse bending moment experienced by the pier cap when the pier cap undergoes a unit rotation angle, H is the preset value of the horizontal force acting on the bottom of the pier cap, and M is the preset value of the bending moment acting on the bottom of the pier cap.
9. The method for calculating the displacement of pile caps in a pile group foundation according to claim 4, characterized in that, The target displacement data of the pier also includes the target rotation angle of the pier; the first displacement equation also includes: in, Turn the corner towards your target. M is the reverse bending moment experienced by the pier cap when the pier cap undergoes a unit rotation angle, and M is the preset value of the bending moment acting on the bottom of the pier cap.
10. The method for calculating the displacement of the pile cap of a pile group foundation according to claim 6, characterized in that, The target displacement data of the pier also includes the target rotation angle of the pier; The second displacement equation also includes: in, Turn the corner towards your target. For the vertical force of the foundation, The weight of the foundation. This refers to the vertical resistance experienced by the pier cap when it undergoes a unit vertical displacement. This is the reverse bending moment experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance experienced by the pier cap when it undergoes a unit rotation. This refers to the horizontal resistance exerted on the pier cap when it undergoes a unit vertical displacement. H is the horizontal resistance force on the pier when the pier undergoes a unit horizontal displacement, H is the preset value of the horizontal force acting on the bottom of the pier, and M is the preset value of the bending moment acting on the bottom of the pier.
11. A system for calculating the displacement of pile caps in a pile group foundation, characterized in that, Includes a processor; the processor is used to execute the steps of the pile group foundation cap displacement calculation method according to any one of claims 1 to 10.
12. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores a computer program, which, when executed by a processor, implements the steps of the pile cap displacement calculation method according to any one of claims 1 to 10.