Extrusion and expansion device stiffness evaluation method, device, terminal and storage medium
Through the combination of Monte Carlo sampling and probability density distribution function, the stiffness of the extrusion device under different soil quality is evaluated, which solves the problem of difficulty in meeting different soil quality requirements in the existing technology, and achieves more reliable design and construction.
Patent Information
- Application Number
- CN202411765040.5
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-12-04
- Publication Date
- 2025-03-04
- Estimated Expiration
- 2044-12-04
AI Technical Summary
The prior art is difficult to effectively evaluate the stiffness of the extrusion device in different soil quality, and cannot meet the use needs under different soil quality.
By obtaining soil type and extrusion arm parameters, the Monte Carlo sampling method combined with the probability density distribution function is used to calculate the sampling deflection of the extrusion arm and count the failure probability to determine whether the extrusion device meets the stiffness requirements.
The stiffness evaluation of the extrusion device under different soil quality is achieved, which can meet the use needs under different soil quality, and improve the reliability of the design and construction of the extrusion device.
Smart Images

Figure CN119249581B_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of building pile foundations, and in particular to a method, a device, a terminal and a storage medium for evaluating the stiffness of an extrusion and expansion device. Background Art
[0002] The extrusion and expansion device is an important equipment in the construction of extrusion and expansion piles. Since the extrusion and expansion device is not a disposable device, it needs to have good performance in different soil types. During the use of the extrusion and expansion device designed by the inventor, it was found that the stiffness of the extrusion and expansion arm is crucial to the molding quality of the extrusion and expansion disk, and its stiffness is directly related to the quality of the extrusion and expansion pile. In order to make the shape and size of the extrusion and expansion arm meet the design requirements, the upper arm of the extrusion and expansion arm of the extrusion and expansion device needs to have sufficient stiffness. Due to the complex geological conditions of the pile foundation and many random interference factors, the geometric dimensions of the cross section of the upper arm must be designed during the design, and the stiffness of the extrusion and expansion device must be verified before construction. Under different soil conditions, users have different requirements for the stiffness of the extrusion and expansion device, so different failure probabilities need to be met.
[0003] In the prior art, the stiffness of the extrusion and expansion device is often determined based on experience, or the deflection of the extrusion and expansion arm is simply calculated using soil pressure, and the deflection calculation result is compared with the deflection limit to determine whether its stiffness meets the requirements. This method does not take into account the conditions of different soil types and cannot obtain the failure probability of stiffness. Therefore, it is essentially a deterministic design and cannot meet the use requirements under different soil types. Summary of the invention
[0004] The embodiments of the present invention provide a method, a device, a terminal and a storage medium for evaluating the stiffness of an extrusion and expansion device, so as to solve the problem of evaluating the stiffness of an extrusion and expansion device for different soil types.
[0005] In a first aspect, an embodiment of the present invention provides a method for evaluating the stiffness of an extrusion and expansion device, comprising:
[0006] Obtaining the soil type and the parameters of the extrusion and expansion arm; wherein the parameters include the steel material model of the extrusion and expansion arm and the geometric parameters of the upper arm of the extrusion and expansion arm;
[0007] Obtaining probability density distribution functions of elastic critical compression and plastic critical compression of the soil according to the soil type, and obtaining probability density distribution function of elastic modulus of the steel according to the steel model;
[0008] According to each probability density distribution function, Monte Carlo sampling is performed for a set number of times on the elastic critical compression, the plastic critical compression and the elastic modulus of the steel;
[0009] Calculate the sampling deflection of the upper arm of the squeezing and expanding arm according to the result of each sampling and the geometric parameters; determine the sampling deflection greater than the deflection limit as failure;
[0010] The number of failures is counted, the failure probability is determined according to the number of failures, and when the failure probability is less than a failure probability threshold, the extrusion-expansion device is determined to meet the stiffness requirement.
[0011] In a possible implementation, the calculating the sampling deflection of the upper arm of the squeezing and expanding arm according to the result of each sampling and the geometric parameter respectively includes:
[0012] When the squeezing and expanding arm is located at the squeezing and expanding end position, the upper arm of the squeezing and expanding arm is respectively provided with an elastic zone, a transition zone and a plastic zone from top to bottom along the length direction according to the elastic critical compression amount and the plastic critical compression amount of the soil body obtained by each sampling;
[0013] respectively calculating the radial earth pressure of the upper arm of the extrusion and expansion arm subjected to the elastic zone, the transition zone and the plastic zone;
[0014] The deflections of the upper arm of the expansion arm under the action of the elastic zone, the transition zone and the plastic zone are calculated respectively according to the radial soil pressure, and the sampling deflection is obtained by superimposing the deflections.
[0015] In a possible implementation, according to the elastic critical compression amount and plastic critical compression amount of the soil body obtained by each sampling, the upper arm of the squeezing and expanding arm is respectively provided with an elastic zone, a transition zone and a plastic zone from top to bottom along the length direction, including:
[0016] The radial compression of the soil is obtained, and a region where the radial compression is less than the elastic critical compression is set as the elastic zone, a region where the radial compression is greater than the plastic critical compression is set as the plastic zone, and a region where the radial compression is between the elastic critical compression and the plastic critical compression is set as the transition zone.
[0017] In a possible implementation, respectively calculating the radial earth pressure of the upper arm of the extrusion and expansion arm subjected to the elastic zone, the transition zone, and the plastic zone includes:
[0018] The radial earth pressure on the upper arm from the elastic zone is:
[0019]
[0020] The radial earth pressure on the upper arm in the transition zone is:
[0021]
[0022] The radial earth pressure of the plastic zone on the upper arm is:
[0023]
[0024] In the formula, is the radial compression of the soil, is the radial earth pressure per unit area on the upper arm, 、 are the elastic critical compression and plastic critical compression of the soil, 、 、 、 、 、 Both are soil compression coefficients.
[0025] In a possible implementation, respectively calculating the deflection of the upper arm of the expansion arm under the action of the elastic zone, the transition zone and the plastic zone according to the radial earth pressure includes:
[0026] The deflection of the upper arm under the earth pressure in the elastic zone:
[0027]
[0028] The deflection of the upper arm under the soil pressure in the transition zone:
[0029]
[0030] The deflection of the upper arm under the earth pressure in the plastic zone:
[0031]
[0032] In the formula, , are the deflection values of the upper arm along the expansion arm under the action of earth pressure in the elastic zone, transition zone, and plastic zone, respectively. is the coordinate of the upper arm along the length direction of the extrusion arm, , , These are the action ranges of soil pressure in the plastic zone, transition zone, and elastic zone on the expansion arm. is the total length of the upper arm of the extrusion arm, is the elastic modulus of the steel material of the extrusion arm, is the section moment of inertia of the cross section of the extrusion arm, , , are the resultant radial earth pressures in the plastic zone, transition zone, and elastic zone, respectively. is the transition zone centroid coefficient, , , are the equivalent load location coefficients of the plastic zone, transition zone, and elastic zone, respectively.
[0033] In a possible implementation, the soil type includes:
[0034] Clay soil, coarse sand, fine sand, silt sand, silty clay and silt soil.
[0035] In a possible implementation, before obtaining the probability density distribution function of the elastic critical compression and the plastic critical compression of the soil according to the soil type and obtaining the probability density distribution function of the elastic modulus of the steel according to the steel model, the method further includes:
[0036] Obtaining data on the elastic critical compression and the plastic critical compression of soil corresponding to different soil types, and obtaining data on the elastic modulus of steel corresponding to different steel types;
[0037] The corresponding average values and standard deviations of the data of the elastic critical compression and the plastic critical compression and the elastic modulus of the steel are respectively obtained, and probability density distribution functions of the elastic critical compression and the plastic critical compression of different soil types and the probability density distribution function of the elastic modulus of the steel are respectively constructed according to the average values and the standard deviation; wherein each probability density distribution function is a normal distribution.
[0038] In a second aspect, an embodiment of the present invention provides a device for evaluating the stiffness of an extrusion and expansion device, comprising:
[0039] A soil type and parameter acquisition module, used to acquire the soil type and parameters of the extrusion and expansion arm; wherein the parameters include the steel material model of the extrusion and expansion arm and the geometric parameters of the upper arm of the extrusion and expansion arm;
[0040] A probability density distribution function acquisition module is used to acquire the probability density distribution function of the elastic critical compression and the plastic critical compression of the soil according to the soil type, and acquire the probability density distribution function of the elastic modulus of the steel according to the steel model;
[0041] A sampling module, used for performing Monte Carlo sampling for a set number of times on the elastic critical compression, the plastic critical compression and the elastic modulus of the steel according to each probability density distribution function;
[0042] A failure determination module is used to calculate the sampling deflection of the upper arm of the squeezing and expanding arm according to the result of each sampling and the geometric parameters; and determine the sampling deflection greater than the deflection limit as a failure;
[0043] The extrusion and expansion device stiffness evaluation module is used to count the number of failures, determine the failure probability according to the number of failures, and determine that the extrusion and expansion device meets the stiffness requirements when the failure probability is less than a failure probability threshold.
[0044] In a third aspect, an embodiment of the present invention provides a terminal, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the computer program, the steps of the method described in the first aspect or any possible implementation manner of the first aspect are implemented.
[0045] In a fourth aspect, an embodiment of the present invention provides a computer-readable storage medium, wherein the computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the steps of the method described in the first aspect or any possible implementation method of the first aspect are implemented.
[0046] The embodiment of the present invention provides a method, device, terminal and storage medium for evaluating the stiffness of an extrusion and expansion device. The probability density distribution function of the elastic critical compression and plastic critical compression of the soil is determined by the soil type, which can meet the calculation requirements of the stiffness of the extrusion and expansion device for different soil types. The probability density distribution function of the elastic modulus of the steel is obtained according to the steel model, and Monte Carlo sampling is performed for a set number of times on the elastic critical compression, plastic critical compression and elastic modulus of the steel according to each probability density distribution function. The sampling deflection is calculated according to the result of each sampling and the geometric parameters of the upper arm of the extrusion and expansion arm, and the sampling deflection greater than the deflection limit is determined as a failure. The failure coefficient is calculated, and the failure probability is determined according to the number of failures. When the failure probability is less than the failure probability threshold, the extrusion and expansion device is determined to meet the stiffness requirements, so as to evaluate the extrusion and expansion device, optimize the geometric parameters of the extrusion and expansion device, and meet the use requirements of the extrusion and expansion device in different soil types. BRIEF DESCRIPTION OF THE DRAWINGS
[0047] In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative labor.
[0048] Figure 1 It is a structural schematic diagram of the extrusion and expansion device;
[0049] Figure 2is a flow chart of the implementation of the method for evaluating the stiffness of an extrusion and expansion device provided in an embodiment of the present invention;
[0050] Figure 3 is a cross-sectional schematic diagram of an extrusion and expansion arm provided in an embodiment of the present invention;
[0051] Figure 4 is a schematic diagram of the soil pressure exerted on the extrusion and expansion arm during the extrusion and expansion process provided by an embodiment of the present invention;
[0052] Figure 5a 1 is a schematic diagram of a design scheme of an extrusion and expansion arm provided in an embodiment of the present invention;
[0053] Figure 5b 2 is a schematic diagram of a second design scheme of an extrusion and expansion arm provided in an embodiment of the present invention;
[0054] Figure 5c Schematic diagram of the third design scheme of the squeezing and expanding arm provided in an embodiment of the present invention;
[0055] Figure 6a It is a schematic diagram of the maximum deflection of the squeezing and expanding arm corresponding to a sampling of the squeezing and expanding arm design solution 1 provided in an embodiment of the present invention;
[0056] Figure 6b It is a schematic diagram of the maximum deflection of the squeezing and expanding arm corresponding to the sampling of the second squeezing and expanding arm design scheme provided in an embodiment of the present invention;
[0057] Figure 6c 1 is a schematic diagram of the maximum deflection of the squeezing and expanding arm corresponding to the third sampling of the squeezing and expanding arm design scheme provided in the embodiment of the present invention;
[0058] Figure 7 is a schematic structural diagram of a device for evaluating the stiffness of an extrusion and expansion device provided in an embodiment of the present invention;
[0059] Figure 8 is a schematic diagram of a terminal provided by an embodiment of the present invention.
[0060] Description of Reference Numerals
[0061] Among them, 1. main rod; 2. extrusion and expansion arm; 21. upper arm; 22. lower arm; 3. lifting plate; 4. connecting plate; 5. rotating disk; 6. center line of column hole; 701. inner wall of straight pile hole; 801. end position of upper arm; 901. end position of lower arm; 10. multi-functional cutter head. DETAILED DESCRIPTION
[0062] In the following description, specific details such as specific system structures, technologies, etc. are provided for the purpose of illustration rather than limitation, so as to provide a thorough understanding of the embodiments of the present invention. However, it should be clear to those skilled in the art that the present invention may be implemented in other embodiments without these specific details. In other cases, detailed descriptions of well-known systems, devices, circuits, and methods are omitted to prevent unnecessary details from obstructing the description of the present invention.
[0063] In order to make the purpose, technical solutions and advantages of the present invention more clear, specific embodiments will be described below in conjunction with the accompanying drawings.
[0064] Figure 1 It is a schematic diagram of the structure of the extrusion and expansion device. Figure 1 As shown, the extrusion and expansion device is symmetrically arranged, including a main rod 1, extrusion and expansion arms 2 are arranged on both sides of the main rod 1, a connecting plate 4 is arranged on the main rod 1, a lifting plate 3 is arranged on the top of the connecting plate 4, the connecting plate 4 is connected to the top end of the upper arm 21 of the extrusion and expansion arm 2, a rotating disk 5 is arranged on the main rod 1, the rotating disk 5 is located below the connecting plate 4, the bottom end of the lower arm 22 of the extrusion and expansion arm 2 is hinged on the rotating disk 5, and the bottom end of the upper arm 21 is hinged to the top end of the lower arm 22.
[0065] When using the squeezing and expanding device, place the squeezing and expanding device in the vertical pile hole, lower the squeezing and expanding device to the designed height, adjust the squeezing and expanding arm 2 angle, and lift the lower arm 22 of the squeezing and expanding arm 2 through the power system, so that the upper arm 21 and the lower arm 22 of the squeezing and expanding arm 2 squeeze the soil on both sides. After squeezing to the designed angle, the squeezing and expanding arm 2 is located at the squeezing and expanding end position, and the upper arm 21 of the squeezing and expanding arm 2 will be subjected to the surrounding soil pressure, so that the upper arm 21 of the squeezing and expanding arm 2 will be deformed, and deflection will be obtained according to the deformation. This application judges whether the squeezing and expanding device meets the stiffness requirements according to the deflection of the upper arm 21 of the squeezing and expanding arm 2 when subjected to soil pressure.
[0066] During the squeezing and expanding process, the top of the upper arm 21 of the squeezing and expanding arm 2 does not move, and the bottom of the lower arm 22 moves upward along the main rod 1, so that the upper arm 21 contacts and squeezes the soil of the hole wall of the straight pile hole. The terminal position of the squeezing and expanding arm 2 refers to the position of the squeezing and expanding arm 2 when the squeezing and expanding is completed according to the pile foundation design requirements. At this time, the rotation angle of the upper arm 21 is , the contact length between the upper arm 21 and the soil is , , where L is the total length of the upper arm 21 of the extrusion arm 2, R is the radius of the straight pile hole, and d is the horizontal distance between the top of the upper arm and the center line 6 of the straight pile hole. The upper arm 21 of the extrusion arm 2 is provided with a multifunctional cutter head 10.
[0067] See also Figure 2 , which shows a flowchart of the implementation of the method for evaluating the stiffness of the extrusion and expansion device provided by an embodiment of the present invention, and is described in detail as follows:
[0068] Step 201: Acquire the soil type and the parameters of the extrusion arm; wherein the parameters include the steel material model of the extrusion arm and the geometric parameters of the upper arm of the extrusion arm.
[0069] Soil type has many effects on the squeezing and expansion device, including bearing capacity, settlement, compaction effect, stress distribution, construction effect and pile failure mode, etc. These factors together determine the performance and effect of the squeezing and expansion device in a specific soil. Soil type usually refers to the classification of soil, which is very important for engineering geology, foundation design and construction.
[0070] In certain soil layers, the extrusion and expansion device can significantly increase the dry density of the soil. The affected range is within 1.0 meter from the outside of the pile hole in the horizontal direction and within 0.5 meter in the vertical direction. The increase in dry density can reach about 15-20%.
[0071] The size of the plastic zone formed by the expansion of the extrusion and expansion device is basically equal in the vertical and horizontal directions, and the range of influence on soil stress is about 2 to 3 times the expansion width of the expansion device.
[0072] In a possible implementation, the soil types include:
[0073] Clay soil, coarse sand, fine sand, silt sand, silty clay and silt soil.
[0074] The expansion arm is a kind of engineering equipment, which is often used in foundation treatment or pile foundation construction to enhance the bearing capacity of the foundation. The upper arm of the expansion arm plays a supporting or bearing role in the project.
[0075] The steel type of the extrusion arm involves the physical and chemical properties of the material, such as strength, ductility, and corrosion resistance, which is crucial to ensuring the safety and durability of the extrusion arm.
[0076] The geometric parameters of the upper arm of the expansion arm include size and shape parameters, such as length, diameter, cross-sectional shape, etc. These geometric parameters are very important for calculating the load-bearing capacity, stability and adaptability of the expansion arm during design and construction.
[0077] Step 202: Obtain the probability density distribution function of the elastic critical compression and the plastic critical compression of the soil according to the soil type, and obtain the probability density distribution function of the elastic modulus of the steel according to the steel model.
[0078] The probability density distribution function of the corresponding elastic critical compression and plastic critical compression is determined according to the soil type. Different soil types correspond to different probability density distribution functions of elastic critical compression and plastic critical compression. After the soil type is determined, the probability density distribution function of the elastic critical compression and plastic critical compression will also be determined accordingly, so that the application can meet the use requirements of the evaluation of the squeezing and expansion device of different soil types. The soil type is the soil type of the soil located at the squeezing and expansion arm.
[0079] The critical compression of the soil in the elastic and plastic stages is expressed in the form of a probability density distribution function, which can calculate the compression of the soil to reach the elastic or plastic critical state under different probabilities. This distribution function helps to evaluate the behavior and stability of the soil under different loads, especially in uncertainty analysis and risk assessment.
[0080] The probability density distribution function of the elastic modulus of the steel is determined according to the steel type of the upper arm of the extrusion arm. Different steel types correspond to different probability density distribution functions of the elastic modulus of the steel. After the steel type is determined, the probability density distribution function of the elastic modulus of the steel will also be determined. The elastic modulus is a physical quantity that the material resists elastic deformation when subjected to force. The elastic modulus of steel will have a certain variability in practical applications, and this variability can be described by probability distribution. This is very important for uncertainty analysis and reliability assessment in structural design, and can help engineers take into account the randomness of material properties.
[0081] Step 203: performing Monte Carlo sampling for a set number of times on the elastic critical compression, the plastic critical compression and the elastic modulus of the steel according to each probability density distribution function.
[0082] For the elastic critical compression, plastic critical compression and elastic modulus of steel, they each have a corresponding probability density distribution function, which reflects the uncertainty and variability of these parameters.
[0083] Monte Carlo sampling is a method for approximating numerical solutions by random sampling, in which random variations of these parameters are simulated by drawing a large number of random samples from a probability density distribution function.
[0084] The number of samplings to be performed in the Monte Carlo simulation needs to be large enough, for example, set to 100 times, so as to obtain statistically significant results, reduce random errors and improve the accuracy of the simulation.
[0085] Monte Carlo sampling is performed independently for the elastic critical compression, plastic critical compression and elastic modulus of steel.
[0086] Step 204: Calculate the sampling deflection of the upper arm of the squeezing and expansion arm according to the sampling result and geometric parameters of each sampling; determine the sampling deflection greater than the deflection limit as failure.
[0087] After each sampling, a set of elastic critical compression of soil, plastic critical compression and elastic modulus of steel are obtained. Based on these results and the geometric parameters of the upper arm of the squeezing and expanding arm, the sampling deflection of the upper arm of the squeezing and expanding arm is calculated, and the deflection limit is set. The sampling deflection greater than the deflection limit is determined as failure. The elastic critical compression, plastic critical compression and elastic modulus of steel are sampled multiple times to make the corresponding deflection failure judgment.
[0088] Each random sample drawn from the probability density distribution function represents the specific values of parameters such as the elastic critical compression of the soil, the plastic critical compression and the elastic modulus of the steel.
[0089] For each parameter combination obtained by sampling, the deflection of the upper arm of the expansion arm under these parameter conditions is calculated in combination with the geometric parameters of the upper arm of the expansion arm. Deflection refers to the bending or deformation of the structure after being subjected to force.
[0090] The deflection limit is a pre-set value used to determine whether the structure has failed. If the actual deflection of the upper arm of the expansion arm exceeds this limit, the structure is considered to have failed.
[0091] In Monte Carlo sampling, for each calculated deflection of the upper arm of the expansion arm, if the deflection value exceeds the specified deflection limit, the result of this sampling is considered to be a failure.
[0092] By measuring and calculating the sampling deflection of the upper arm of the extrusion and expansion arm, it can be ensured that the manufacturing and assembly quality of the extrusion and expansion device meets the design requirements.
[0093] The deflection limit is an important parameter in the design of the extrusion and expansion device, which represents the maximum deformation that the device can withstand under normal working conditions. By comparing the sampling deflection and the deflection limit, it is possible to evaluate whether the performance of the extrusion and expansion device meets expectations. If the sampling deflection exceeds the deflection limit, it means that the extrusion and expansion device may not be able to withstand the expected load in actual work, which may lead to structural failure or safety accidents. Therefore, this evaluation method helps to identify and eliminate potential safety risks.
[0094] By analyzing the results of the sampled deflection, the design of the extrusion and expansion device can be optimized to improve its load-bearing capacity and durability. If the deflection is found to exceed the limit, the geometric parameters of the upper arm of the extrusion and expansion arm need to be adjusted.
[0095] For the extrusion and expansion devices that have been put into use, regular deflection testing can help to detect structural damage or wear in a timely manner, so that appropriate maintenance and repair measures can be taken to extend the service life of the extrusion and expansion devices.
[0096] This evaluation method provides a standardized testing and evaluation process that helps unify and standardize the industry and improve the overall reliability and consistency of the extrusion and expansion equipment.
[0097] Step 205: Count the number of failures, determine the failure probability according to the number of failures, and when the failure probability is less than a failure probability threshold, determine that the extrusion-expansion device meets the stiffness requirement.
[0098] After Monte Carlo sampling, a series of sampling results will be obtained, some of which show that the deflection of the upper arm of the extrusion and expansion arm exceeds the specified deflection limit, that is, failure has occurred. These failure results need to be counted to obtain the number of failures. According to the ratio of the number of failures to the total number of samplings, the failure probability is calculated, and the quality of the extrusion and expansion device can be evaluated.
[0099] The failure probability threshold is a pre-set value used to determine whether the extrusion and expansion device meets the stiffness requirements. If the failure probability is lower than the failure probability threshold, the extrusion and expansion device is considered to meet the stiffness requirements, that is, it meets the stiffness requirements in design and use. Comparing the failure probability with the failure probability threshold helps to identify and manage risks in the system. If the failure probability is lower than the threshold, it means that the extrusion and expansion device is acceptable in terms of safety and performance, thereby reducing unnecessary maintenance costs and potential safety risks.
[0100] By calculating the probability of failure, the engineering team can make more reasonable decisions, such as whether the expansion device needs to be replaced or repaired, and how to allocate resources to maximize efficiency and safety.
[0101] The embodiment of the present invention determines the probability density distribution function of the elastic critical compression and plastic critical compression of the soil by the soil type, and can adapt to the calculation requirements of the stiffness of the extrusion and expansion device for different soil types. The probability density distribution function of the elastic modulus of the steel is obtained according to the steel model, and the elastic critical compression, plastic critical compression and elastic modulus of the steel are respectively sampled a set number of times according to each probability density distribution function. The sampling deflection is calculated according to the result of each sampling and the geometric parameters of the upper arm of the extrusion and expansion arm, and the sampling deflection greater than the deflection limit is determined as a failure, and the failure coefficient is calculated. The failure probability is determined according to the number of failures. When the failure probability is less than the failure probability threshold, the extrusion and expansion device is determined to meet the stiffness requirements, so as to evaluate the extrusion and expansion device, optimize the geometric parameters of the extrusion and expansion device, and meet the use requirements of the extrusion and expansion device in different soil types.
[0102] In a possible implementation, the sampling deflection of the upper arm of the squeezing and expanding arm is calculated according to the result of each sampling and the geometric parameters, including:
[0103] When the squeezing and expanding arm is at the squeezing and expanding end position, the upper arm of the squeezing and expanding arm is respectively set with an elastic zone, a transition zone and a plastic zone from top to bottom along the length direction according to the elastic critical compression amount and plastic critical compression amount of the soil body obtained by each sampling;
[0104] Calculate the radial earth pressure of the upper arm of the expansion arm in the elastic zone, transition zone and plastic zone respectively;
[0105] According to the radial earth pressure, the deflections of the upper arm of the expansion arm in the elastic zone, transition zone and plastic zone are calculated respectively, and the sampling deflection is obtained by superimposing the deflections.
[0106] In this embodiment, the squeezing and expanding arm is located at the squeezing and expanding end position, which means that the upper arm of the squeezing and expanding arm has reached the end position 801 of the upper arm, and the lower arm has reached the end position 901 of the lower arm, which is the starting point of the analysis. Figure 3 As shown, L is the total length of the upper arm of the extrusion arm, It is the sum of the range of action of the soil pressure in the plastic zone, transition zone and elastic zone on the extrusion arm, α is the rotation angle of the upper arm at the end position of extrusion, R is the radius of the straight pile hole, 6 is the center line of the column hole, 701 is the inner wall of the straight pile hole, and d is the distance from the center line of the column hole to the top of the upper arm.
[0107] According to the elastic critical compression and plastic critical compression of the soil obtained in each sampling, the upper arm of the squeezing and expanding arm is divided into three areas from top to bottom along its length: elastic area, transition area and plastic area. It should be noted that the highest point of the elastic area is the intersection of the inner wall of the straight pile hole and the upper arm of the squeezing and expanding arm. The elastic critical compression and plastic critical compression of the soil sampled each time are different, and the corresponding three divided areas will also be different.
[0108] According to the radial earth pressure in each area, the deflection of the upper arm of the expansion arm in the elastic zone, transition zone and plastic zone is calculated respectively. Deflection refers to the deformation of the structure after being subjected to force.
[0109] For each point of the upper arm of the squeezing and expanding arm, the deflections of the three regions are added respectively, and the deflection with the largest sum is selected. The largest deflection is the sampling deflection of the upper arm of the squeezing and expanding arm. This sampling deflection represents the total deformation of the upper arm of the squeezing and expanding arm under specific sampling conditions.
[0110] In a possible implementation, according to the elastic critical compression and plastic critical compression of the soil obtained by each sampling, the upper arm of the squeezing and expanding arm is respectively provided with an elastic zone, a transition zone and a plastic zone from top to bottom along the length direction, including:
[0111] The radial compression of the soil is obtained, and the area where the radial compression is less than the elastic critical compression is set as the elastic zone, the area where the radial compression is greater than the plastic critical compression is set as the plastic zone, and the area where the radial compression is between the elastic critical compression and the plastic critical compression is set as the transition zone.
[0112] In this embodiment, in the elastic zone, the soil can return to its original state without permanent deformation after being subjected to the pressure of the upper arm of the extrusion and expansion arm. In the transition zone, the area where the soil changes from the elastic state to the plastic state, the soil begins to undergo some irreversible deformation. In the plastic zone, the soil undergoes permanent deformation, and even if the pressure of the upper arm of the extrusion and expansion arm is removed, the soil will not return to its original state. The determination of the plastic zone, transition zone, and elastic zone is determined by the amount of compression of the soil. The point where the upper arm of the extrusion and expansion arm contacts the inner wall 701 of the straight pile hole is the dividing point on the higher side of the elastic zone.
[0113] In a possible implementation, the radial earth pressure of the upper arm of the expansion arm in the elastic zone, transition zone and plastic zone is calculated respectively, including:
[0114] The radial earth pressure on the elastic zone of the upper arm is:
[0115]
[0116] The radial earth pressure on the upper arm in the transition zone is:
[0117]
[0118] The radial earth pressure on the upper arm in the plastic zone is:
[0119]
[0120] In the formula, is the radial compression of the soil, is the radial earth pressure per unit area on the upper arm, 、 are the elastic critical compression and plastic critical compression of the soil, 、 、 、 、 、 Both are soil compression coefficients. Figure 4 It is a schematic diagram of the soil pressure on the expansion arm during the expansion process. L is the total length of the upper arm of the extrusion arm, It is the sum of the range of action of the soil pressure in the plastic zone, transition zone, and elastic zone on the expansion arm. , , These are the action ranges of soil pressure in the plastic zone, transition zone, and elastic zone on the expansion arm. , d is the distance from the center line of the column hole to the top of the upper arm, R is the radius of the straight pile hole, α is the rotation angle of the upper arm at the end position of the extrusion and expansion, 、 They are the elastic critical compression and plastic critical compression of the soil respectively. Table 1 shows the soil compression coefficients of different soil types.
[0121] Table 1 Soil compression coefficient
[0122]
[0123] In this embodiment, respectively calculating the radial earth pressure on the upper arm of the expansion arm in different areas is helpful to evaluate the stability and safety of the upper arm of the expansion arm under different stress states, which is an important step in structural design and analysis.
[0124] In a possible implementation, the deflection of the upper arm of the expansion arm in the elastic zone, the transition zone and the plastic zone is calculated respectively according to the radial earth pressure, including:
[0125] Deflection of the upper arm under the earth pressure in the elastic zone:
[0126]
[0127] Deflection of the upper arm under the soil pressure in the transition zone:
[0128]
[0129] Deflection of the upper arm under the soil pressure in the plastic zone:
[0130]
[0131] In the formula, , are the deflection values of the upper arm along the expansion arm under the action of earth pressure in the elastic zone, transition zone, and plastic zone, respectively. is the coordinate of the upper arm along the length direction of the extrusion arm, , , These are the action ranges of soil pressure in the plastic zone, transition zone, and elastic zone on the expansion arm. is the total length of the upper arm of the extrusion arm, is the elastic modulus of the steel material of the extrusion arm, is the section moment of inertia of the cross section of the extrusion arm, , , are the resultant radial earth pressures in the plastic zone, transition zone, and elastic zone, respectively. is the transition zone centroid coefficient, , , are the equivalent load location coefficients of the plastic zone, transition zone, and elastic zone, respectively.
[0132] In this embodiment, , , They are the resultant of the radial earth pressures in the plastic zone, transition zone, and elastic zone, respectively, and are obtained by integrating the earth pressures per unit area in the plastic zone, transition zone, and elastic zone over the areas of the plastic zone, transition zone, and elastic zone, respectively.
[0133] Because part of the length of the upper arm of the expansion arm is located in the straight pile hole and is not in contact with the soil, the total length of the upper arm of the expansion arm is greater than the total length of the plastic zone, transition zone, and elastic zone, that is, .
[0134] For each point along the length of the expansion arm (coordinate is x), the deflection caused by the soil pressure in the plastic zone, transition zone, and elastic zone is calculated respectively. , , and , Add together to get the total deflection of the point, that is, the total deflection at the coordinate x is .
[0135] Transition zone centroid coefficient The calculation formula is as follows:
[0136]
[0137] In the formula, 、 are the elastic critical compression and plastic critical compression of the soil, 、 、 Both are soil compression coefficients.
[0138] Equivalent load location factors in plastic zone, transition zone and elastic zone 、 、 The calculation formula is as follows:
[0139]
[0140] In the formula, is the transition zone centroid coefficient, , , These are the ranges of action of soil pressure on the expansion arm in the plastic zone, transition zone and elastic zone respectively.
[0141] In a possible implementation, before obtaining the probability density distribution function of the elastic critical compression and the plastic critical compression of the soil according to the soil type and obtaining the probability density distribution function of the elastic modulus of the steel according to the steel model, the method further includes:
[0142] Obtain data on elastic critical compression and plastic critical compression of soil corresponding to different soil types, and obtain data on elastic modulus of steel corresponding to different steel types;
[0143] The corresponding mean values and standard deviations of the elastic critical compression and plastic critical compression data and the elastic modulus of steel are obtained respectively, and the probability density distribution functions of the elastic critical compression and plastic critical compression of different soil types and the probability density distribution function of the elastic modulus of steel are constructed according to the mean values and standard deviations; wherein each probability density distribution function is a normal distribution.
[0144] In this embodiment, it is first necessary to collect data on elastic critical compression and plastic critical compression of different soil types, and data on elastic modulus of different steel types.
[0145] For the collected data, it is necessary to calculate the average and standard deviation of the elastic critical compression and plastic critical compression of different soil conditions, and the average and standard deviation of the elastic modulus of steel of different steel types. The average value indicates the central trend of the data, while the standard deviation indicates the degree of dispersion or variability of the data.
[0146] Using the calculated mean and standard deviation, construct a probability density distribution function for the normal distribution for each parameter.
[0147] The probability density distribution function of elastic critical compression and plastic critical compression is constructed for each soil type. The probability density distribution function of elastic modulus of different steel types is constructed.
[0148] In other possible ways, Monte Carlo sampling can be performed in other ways. This application mainly uses Monte Carlo sampling as an example for explanation.
[0149] The above describes the specific implementation of the scheme. In the actual process, experimental analysis is carried out based on specific embodiments to verify and illustrate the effect of the above scheme.
[0150] The design parameters of the extrusion and expansion arm are preliminarily determined based on experience.
[0151] The radius of the straight pile hole is R=0.7 m
[0152] The design parameters of the extrusion arm are: upper arm length L = 1483.5 mm , when the extrusion and expansion ends, the upper arm rotates at an angle of α=21°. Three schemes are designed for the cross-sectional dimensions of the extrusion and expansion arm. The cross-sectional dimensions of the extrusion and expansion arm of the three schemes are as follows: Figure 5a-5c .
[0153] In scheme 1, the side plates of the extrusion and expansion arms are steel plates with a height of 150 mm and a thickness of 20 mm, and the top and bottom plates are steel plates with a width of 140 mm and a thickness of 10 mm;
[0154] In the second scheme, the side plates of the extrusion and expansion arms are steel plates with a height of 150 mm and a thickness of 20 mm, and the top and bottom plates are steel plates with a width of 140 mm and a thickness of 20 mm;
[0155] In Option 3, the side plates of the extrusion and expansion arms are steel plates with a height of 200 mm and a thickness of 20 mm, and the top and bottom plates are steel plates with a width of 140 mm and a thickness of 20 mm.
[0156] Determine the soil type at the squeezing and expansion arm, and determine the probability density distribution function of the elastic critical compression and plastic critical compression of the soil.
[0157] Critical elastic compression of cohesive soil The probability density distribution function of is:
[0158]
[0159] In the formula, , 。
[0160] Critical plastic compression of clay The probability density distribution function of is:
[0161]
[0162] In the formula, , 。
[0163] The probability density distribution function of the elastic modulus of steel is:
[0164]
[0165] In the formula, , .
[0166] The total number of samplings is determined to be 100, and Monte Carlo sampling is performed one by one. The deflection of the expansion arm under soil pressure is calculated based on the elastic critical compression, plastic critical compression, and elastic modulus of the steel obtained by sampling. The deflection limit is taken as 1 / 2000 of the length of the upper arm of the expansion arm, and the calculated deflection is compared with the deflection limit.
[0167] The failure probability of the expansion arm stiffness is calculated based on the total number of sampling times and the number of failures.
[0168] The calculated failure probabilities of the three schemes are shown in Table 2. The maximum deflection of the upper arm of the expansion arm corresponding to each sampling of the three schemes is as follows: Figure 6a-6c .
[0169] Table 2 Failure probability statistics
[0170]
[0171] According to the failure probability, scheme three is adopted as the geometric parameters of the upper arm of the extrusion and expansion arm.
[0172] It should be understood that the order of execution of the steps in the above embodiment does not necessarily mean the order of execution. The execution order of each process should be determined by its function and internal logic, and should not constitute any limitation on the implementation process of the embodiment of the present invention.
[0173] The following is an embodiment of the device of the present invention. For details not described in detail therein, reference may be made to the corresponding method embodiment described above.
[0174] Figure 7 The structural schematic diagram of the extrusion and expansion device stiffness evaluation device provided by the embodiment of the present invention is shown. For the convenience of explanation, only the part related to the embodiment of the present invention is shown, which is described in detail as follows:
[0175] like Figure 7 As shown, the extrusion and expansion device stiffness evaluation device 7 includes:
[0176] The soil type and parameter acquisition module 71 is used to acquire the soil type and the parameters of the extrusion and expansion arm; wherein the parameters include the steel material model of the extrusion and expansion arm and the geometric parameters of the upper arm of the extrusion and expansion arm;
[0177] The probability density distribution function acquisition module 72 is used to acquire the probability density distribution function of the elastic critical compression and the plastic critical compression of the soil according to the soil type, and acquire the probability density distribution function of the elastic modulus of the steel according to the steel type;
[0178] A sampling module 73, for performing Monte Carlo sampling of a set number of times on the elastic critical compression, the plastic critical compression and the elastic modulus of the steel material according to each probability density distribution function;
[0179] The failure determination module 74 is used to calculate the sampling deflection of the upper arm of the squeezing and expanding arm according to the sampling result and the geometric parameters of each sampling; and determine the sampling deflection greater than the deflection limit as failure;
[0180] The extrusion and expansion device stiffness evaluation module 75 is used to count the number of failures, determine the failure probability according to the number of failures, and determine that the extrusion and expansion device meets the stiffness requirement when the failure probability is less than the failure probability threshold.
[0181] The embodiment of the present invention determines the probability density distribution function of the elastic critical compression and plastic critical compression of the soil by the soil type, and can adapt to the calculation requirements of the stiffness of the extrusion and expansion device for different soil types. The probability density distribution function of the elastic modulus of the steel is obtained according to the steel model, and the elastic critical compression, plastic critical compression and elastic modulus of the steel are respectively sampled a set number of times according to each probability density distribution function. The sampling deflection is calculated according to the result of each sampling and the geometric parameters of the upper arm of the extrusion and expansion arm, and the sampling deflection greater than the deflection limit is determined as a failure, and the failure coefficient is calculated. The failure probability is determined according to the number of failures. When the failure probability is less than the failure probability threshold, the extrusion and expansion device is determined to meet the stiffness requirements, so as to evaluate the extrusion and expansion device, optimize the geometric parameters of the extrusion and expansion device, and meet the use requirements of the extrusion and expansion device in different soil types.
[0182] In a possible implementation, the probability density distribution function acquisition module 72 is used to:
[0183] Before obtaining the probability density distribution function of the elastic critical compression and the plastic critical compression of the soil according to the soil type and obtaining the probability density distribution function of the elastic modulus of the steel according to the steel model, the method further includes:
[0184] Obtain data on elastic critical compression and plastic critical compression of soil corresponding to different soil types, and obtain data on elastic modulus of steel corresponding to different steel types;
[0185] The corresponding mean values and standard deviations of the elastic critical compression and plastic critical compression data and the elastic modulus of steel are obtained respectively, and the probability density distribution functions of the elastic critical compression and plastic critical compression of different soil types and the probability density distribution function of the elastic modulus of steel are constructed according to the mean values and standard deviations; wherein each probability density distribution function is a normal distribution.
[0186] In a possible implementation, the failure determination module 74 is configured to:
[0187] The sampling deflection of the upper arm of the squeezing and expansion arm is calculated according to the sampling results and geometric parameters of each time, including:
[0188] When the squeezing and expanding arm is at the squeezing and expanding end position, the upper arm of the squeezing and expanding arm is respectively set with an elastic zone, a transition zone and a plastic zone from top to bottom along the length direction according to the elastic critical compression amount and plastic critical compression amount of the soil body obtained by each sampling;
[0189] Calculate the radial earth pressure of the upper arm of the expansion arm in the elastic zone, transition zone and plastic zone respectively;
[0190] According to the radial earth pressure, the deflections of the upper arm of the expansion arm in the elastic zone, transition zone and plastic zone are calculated respectively, and the sampling deflection is obtained by superimposing the deflections.
[0191] Figure 8 is a schematic diagram of a terminal provided by an embodiment of the present invention. Figure 8 As shown, the terminal 8 of this embodiment includes: a processor 80, a memory 81, and a computer program 82 stored in the memory 81 and executable on the processor 80. When the processor 80 executes the computer program 82, the steps in the above-mentioned embodiments of the method for evaluating the stiffness of the extrusion and expansion device are implemented, for example Figure 2 Alternatively, when the processor 80 executes the computer program 82, the functions of the modules in the above-mentioned device embodiments are realized, for example Figure 7 The functions of each module are shown.
[0192] Exemplarily, the computer program 82 may be divided into one or more modules, which are stored in the memory 81 and executed by the processor 80 to implement the present invention. The one or more modules may be a series of computer program instruction segments capable of implementing specific functions, which are used to describe the execution process of the computer program 82 in the terminal 8. For example, the computer program 82 may be divided into Figure 7 The modules shown.
[0193] The terminal 8 may be a computing device such as a desktop computer, a notebook, a PDA, or a cloud server. The terminal 8 may include, but is not limited to, a processor 80 and a memory 81. Those skilled in the art will appreciate that Figure 8 It is only an example of terminal 8 and does not constitute a limitation on terminal 8. It may include more or fewer components than shown in the figure, or a combination of certain components, or different components. For example, the terminal may also include input and output devices, network access devices, buses, etc.
[0194] The processor 80 may be a central processing unit (CPU), or other general-purpose processors, digital signal processors (DSP), application-specific integrated circuits (ASIC), field-programmable gate arrays (FPGA), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. A general-purpose processor may be a microprocessor or any conventional processor, etc.
[0195] The memory 81 may be an internal storage unit of the terminal 8, such as a hard disk or memory of the terminal 8. The memory 81 may also be an external storage device of the terminal 8, such as a plug-in hard disk, a smart media card (SMC), a secure digital (SD) card, a flash card, etc. equipped on the terminal 8. Further, the memory 81 may include both an internal storage unit of the terminal 8 and an external storage device. The memory 81 is used to store the computer program and other programs and data required by the terminal. The memory 81 may also be used to temporarily store data that has been output or is to be output.
[0196] The technicians in the relevant field can clearly understand that for the convenience and simplicity of description, only the division of the above-mentioned functional units and modules is used as an example for illustration. In practical applications, the above-mentioned function allocation can be completed by different functional units and modules as needed, that is, the internal structure of the device can be divided into different functional units or modules to complete all or part of the functions described above. The functional units and modules in the embodiment can be integrated in a processing unit, or each unit can exist physically separately, or two or more units can be integrated in one unit. The above-mentioned integrated unit can be implemented in the form of hardware or in the form of software functional units. In addition, the specific names of the functional units and modules are only for the convenience of distinguishing each other, and are not used to limit the scope of protection of this application. The specific working process of the units and modules in the above-mentioned system can refer to the corresponding process in the aforementioned method embodiment, which will not be repeated here.
[0197] In the above embodiments, the description of each embodiment has its own emphasis. For parts that are not described or recorded in detail in a certain embodiment, reference can be made to the relevant descriptions of other embodiments.
[0198] Those skilled in the art will appreciate that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Professional and technical personnel can use different methods to implement the described functions for each specific application, but such implementation should not be considered to be beyond the scope of the present invention.
[0199] In the embodiments provided by the present invention, it should be understood that the disclosed devices / terminals and methods can be implemented in other ways. For example, the device / terminal embodiments described above are only schematic. For example, the division of the modules or units is only a logical function division. There may be other division methods in actual implementation, such as multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. Another point is that the mutual coupling or direct coupling or communication connection shown or discussed can be through some interfaces, indirect coupling or communication connection of devices or units, which can be electrical, mechanical or other forms.
[0200] The units described as separate components may or may not be physically separated, and the components shown as units may or may not be physical units, that is, they may be located in one place or distributed on multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.
[0201] In addition, each functional unit in each embodiment of the present invention may be integrated into one processing unit, or each unit may exist physically separately, or two or more units may be integrated into one unit. The above-mentioned integrated unit may be implemented in the form of hardware or in the form of software functional units.
[0202] If the integrated module is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the present invention implements all or part of the processes in the above-mentioned embodiment method, and can also be completed by instructing the relevant hardware through a computer program. The computer program can be stored in a computer-readable storage medium. When the computer program is executed by the processor, the steps of the above-mentioned embodiments of the method for evaluating the stiffness of the expansion device can be implemented. Among them, the computer program includes computer program code, and the computer program code can be in source code form, object code form, executable file or some intermediate form. The computer-readable medium may include: any entity or device that can carry the computer program code, recording medium, U disk, mobile hard disk, disk, optical disk, computer memory, read-only memory (ROM), random access memory (RAM), electric carrier signal, telecommunication signal and software distribution medium. It should be noted that the content contained in the computer-readable medium can be appropriately increased or decreased according to the requirements of legislation and patent practice in the jurisdiction. For example, in some jurisdictions, according to legislation and patent practice, computer-readable media do not include electric carrier signals and telecommunication signals.
[0203] The embodiments described above are only used to illustrate the technical solutions of the present invention, rather than to limit the same. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that the technical solutions described in the aforementioned embodiments may still be modified, or some of the technical features may be replaced by equivalents. Such modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the embodiments of the present invention, and should all be included in the protection scope of the present invention.
Claims
1. A method for evaluating the stiffness of an extrusion and expansion device, characterized in that: include: Obtaining the soil type and the parameters of the extrusion and expansion arm; wherein the parameters include the steel material model of the extrusion and expansion arm and the geometric parameters of the upper arm of the extrusion and expansion arm; Obtaining probability density distribution functions of elastic critical compression and plastic critical compression of the soil according to the soil type, and obtaining probability density distribution function of elastic modulus of the steel according to the steel model; According to each probability density distribution function, Monte Carlo sampling is performed for a set number of times on the elastic critical compression, the plastic critical compression and the elastic modulus of the steel; Calculate the sampling deflection of the upper arm of the squeezing and expanding arm according to the result of each sampling and the geometric parameters; determine the sampling deflection greater than the deflection limit as failure; Counting the number of failures, determining the failure probability according to the number of failures, and determining that the extrusion-expansion device meets the stiffness requirement when the failure probability is less than a failure probability threshold; The step of calculating the sampling deflection of the upper arm of the squeezing and expanding arm according to the sampling result of each time and the geometric parameters comprises: When the squeezing and expanding arm is located at the squeezing and expanding end position, the upper arm of the squeezing and expanding arm is respectively provided with an elastic zone, a transition zone and a plastic zone from top to bottom along the length direction according to the elastic critical compression amount and the plastic critical compression amount of the soil body obtained by each sampling; respectively calculating the radial earth pressure of the upper arm of the extrusion and expansion arm subjected to the elastic zone, the transition zone and the plastic zone; According to the radial soil pressure, the deflections of the upper arm of the expansion arm under the action of the elastic zone, the transition zone and the plastic zone are calculated respectively, and the deflections are superimposed to obtain the sampling deflection; The respectively calculating the radial earth pressure of the upper arm of the extrusion and expansion arm subjected to the elastic zone, the transition zone and the plastic zone comprises: The radial earth pressure on the upper arm from the elastic zone is: The radial earth pressure on the upper arm in the transition zone is: The radial earth pressure of the plastic zone on the upper arm is: In the formula, is the radial compression of the soil, is the radial earth pressure per unit area on the upper arm, 、 are the elastic critical compression and plastic critical compression of the soil, 、 、 、 、 、 All are soil compression coefficients; The method of calculating the deflection of the upper arm of the expansion arm under the action of the elastic zone, the transition zone and the plastic zone according to the radial earth pressure comprises: The deflection of the upper arm under the earth pressure in the elastic zone: The deflection of the upper arm under the soil pressure in the transition zone: The deflection of the upper arm under the earth pressure in the plastic zone: In the formula, is the deflection value of the upper arm along the expansion arm under the action of earth pressure in the elastic zone, transition zone and plastic zone, is the coordinate of the upper arm along the length direction of the extrusion arm, , , These are the action ranges of soil pressure in the plastic zone, transition zone, and elastic zone on the expansion arm. is the total length of the upper arm of the extrusion arm, is the elastic modulus of the steel material of the extrusion arm, is the section moment of inertia of the cross section of the extrusion arm, , , are the resultant radial earth pressures in the plastic zone, transition zone, and elastic zone, respectively. is the transition zone centroid coefficient, , , are the equivalent load location coefficients of the plastic zone, transition zone, and elastic zone, respectively; The transition zone centroid coefficient The calculation formula is as follows: In the formula, 、 are the elastic critical compression and plastic critical compression of the soil, 、 、 All are soil compression coefficients; The equivalent load position coefficients of the plastic zone, transition zone and elastic zone 、 、 The calculation formula is as follows: In the formula, is the transition zone centroid coefficient, , , These are the ranges of action of soil pressure on the expansion arm in the plastic zone, transition zone and elastic zone respectively.
2. The method for evaluating the stiffness of an extrusion and expansion device according to claim 1, characterized in that: According to the elastic critical compression amount and plastic critical compression amount of the soil body obtained by each sampling, the upper arm of the squeezing and expanding arm is respectively provided with an elastic zone, a transition zone and a plastic zone from top to bottom along the length direction, including: The radial compression of the soil is obtained, and a region where the radial compression is less than the elastic critical compression is set as the elastic zone, a region where the radial compression is greater than the plastic critical compression is set as the plastic zone, and a region where the radial compression is between the elastic critical compression and the plastic critical compression is set as the transition zone.
3. The method for evaluating the stiffness of an extrusion and expansion device according to claim 1, characterized in that: The soil types include: Clay soil, coarse sand, fine sand, silt sand, silty clay and silt soil.
4. The method for evaluating the stiffness of an extrusion and expansion device according to claim 1, characterized in that: Before obtaining the probability density distribution function of the elastic critical compression and the plastic critical compression of the soil according to the soil type and obtaining the probability density distribution function of the elastic modulus of the steel according to the steel model, the method further includes: Obtaining data on the elastic critical compression and the plastic critical compression of soil corresponding to different soil types, and obtaining data on the elastic modulus of steel corresponding to different steel types; The corresponding average values and standard deviations of the data of the elastic critical compression and the plastic critical compression and the elastic modulus of the steel are respectively obtained, and probability density distribution functions of the elastic critical compression and the plastic critical compression of different soil types and the probability density distribution function of the elastic modulus of the steel are respectively constructed according to the average values and the standard deviation; wherein each probability density distribution function is a normal distribution.
5. A device for evaluating the stiffness of an extrusion and expansion device, characterized in that: include: A soil type and parameter acquisition module, used to acquire the soil type and parameters of the extrusion and expansion arm; wherein the parameters include the steel material model of the extrusion and expansion arm and the geometric parameters of the upper arm of the extrusion and expansion arm; A probability density distribution function acquisition module is used to acquire the probability density distribution function of the elastic critical compression and the plastic critical compression of the soil according to the soil type, and acquire the probability density distribution function of the elastic modulus of the steel according to the steel model; A sampling module, used for performing Monte Carlo sampling for a set number of times on the elastic critical compression, the plastic critical compression and the elastic modulus of the steel according to each probability density distribution function; A failure determination module is used to calculate the sampling deflection of the upper arm of the squeezing and expanding arm according to the result of each sampling and the geometric parameters; and determine the sampling deflection greater than the deflection limit as a failure; The failure determination module is further used for: When the squeezing and expanding arm is located at the squeezing and expanding end position, the upper arm of the squeezing and expanding arm is respectively provided with an elastic zone, a transition zone and a plastic zone from top to bottom along the length direction according to the elastic critical compression amount and the plastic critical compression amount of the soil body obtained by each sampling; respectively calculating the radial earth pressure of the upper arm of the extrusion and expansion arm subjected to the elastic zone, the transition zone and the plastic zone; According to the radial soil pressure, the deflections of the upper arm of the expansion arm under the action of the elastic zone, the transition zone and the plastic zone are calculated respectively, and the deflections are superimposed to obtain the sampling deflection; The failure determination module is further used for: The radial earth pressure on the upper arm from the elastic zone is: The radial earth pressure on the upper arm in the transition zone is: The radial earth pressure of the plastic zone on the upper arm is: In the formula, is the radial compression of the soil, is the radial earth pressure per unit area on the upper arm, 、 are the elastic critical compression and plastic critical compression of the soil, 、 、 、 、 、 All are soil compression coefficients; The failure determination module is further used for: The deflection of the upper arm under the earth pressure in the elastic zone: The deflection of the upper arm under the soil pressure in the transition zone: The deflection of the upper arm under the earth pressure in the plastic zone: In the formula, is the deflection value of the upper arm along the expansion arm under the action of earth pressure in the elastic zone, transition zone and plastic zone, is the coordinate of the upper arm along the length direction of the extrusion arm, , , These are the action ranges of soil pressure in the plastic zone, transition zone, and elastic zone on the expansion arm. is the total length of the upper arm of the extrusion arm, is the elastic modulus of the steel material of the extrusion arm, is the section moment of inertia of the cross section of the extrusion arm, , , are the resultant radial earth pressures in the plastic zone, transition zone, and elastic zone, respectively. is the transition zone centroid coefficient, , , are the equivalent load location coefficients of the plastic zone, transition zone, and elastic zone, respectively; The transition zone centroid coefficient The calculation formula is as follows: In the formula, 、 are the elastic critical compression and plastic critical compression of the soil, 、 、 All are soil compression coefficients; The equivalent load position coefficients of the plastic zone, transition zone and elastic zone 、 、 The calculation formula is as follows: In the formula, is the transition zone centroid coefficient, , , These are the action ranges of soil pressure in the plastic zone, transition zone, and elastic zone on the expansion arm; The extrusion and expansion device stiffness evaluation module is used to count the number of failures, determine the failure probability according to the number of failures, and determine that the extrusion and expansion device meets the stiffness requirements when the failure probability is less than a failure probability threshold.
6. A terminal comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that: When the processor executes the computer program, the steps of the method according to any one of claims 1 to 4 are implemented.
7. A computer-readable storage medium storing a computer program, characterized in that: When the computer program is executed by a processor, the steps of the method according to any one of claims 1 to 4 are implemented.
Citation Information
Patent Citations
Genetic algorithm control-based variable stiffness optimization method for squeezed and expanded branch pile group
CN114818054A
Method and device for analyzing reliability of boom structure system
CN116702352A