Stress calculation method, system and equipment for clamping state of variable cross-section steel plate spring and medium
By calculating its effective length and constructing thickness and sheet length in a variable-section steel plate spring, combining clamping stiffness and cross-section arc coefficient, the problem of insufficient stress calculation accuracy in the prior art is solved, and higher calculation accuracy and lower design cost are achieved.
Patent Information
- Application Number
- CN202411656272.7
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-11-19
- Publication Date
- 2025-02-28
AI Technical Summary
The prior art cannot accurately calculate the stress of variable-section steel sheet springs, resulting in insufficient calculation accuracy, increasing design costs and possibly affecting vehicle safety.
The effective length of the steel plate spring is calculated by the actual vehicle installation method, and a functional relationship between thickness and sheet length is constructed, and combined with parameters such as clamping stiffness and cross-section arc coefficient, the specific stress of the steel plate spring and the maximum stress under any load are calculated.
Improves the accuracy of stress calculations, reduces design costs, shortens design cycles, and enhances the performance, safety and reliability of the suspension system.
Smart Images
Figure CN119538567A_ABST
Abstract
Description
Background Art
[0002] Leaf springs are components with guiding and spring functions in the automobile suspension system. They are usually made of spring steel. Due to their strong load-bearing capacity, low cost, and mature technology, they are widely used in automobile suspension systems, especially in heavy-duty commercial vehicles. The stress calculation of leaf springs is crucial to ensure the performance, safety, and reliability of the suspension system. Inaccurate stress calculation of leaf springs will result in incomplete consistency with the stress of the automobile suspension system, and there is a risk of breakage during actual use, affecting vehicle safety.
[0003] At present, the stress calculation of leaf springs uses the calculation method specified in the relevant standards. Due to the development of leaf springs, the relevant standards do not fully consider the conditions of leaf springs in actual vehicle assembly and the true shape of their cross-sections, resulting in the calculation accuracy can no longer meet the needs. Especially in the application of variable-section leaf springs, since the thickness and width of the spring vary with the length, the traditional calculation method can no longer accurately reflect its stress state.
[0004] At present, a calculation method used for variable-section steel plates is based on simplified mechanical models and assumptions, such as considering the leaf spring as a complex shape with equal cross-section or intersecting cross-sections. This method further reduces the accuracy of the calculation. Therefore, in practical applications, designers and engineers often need to rely on empirical formulas or experimental tests to correct the calculation results, which not only increases the design cost, but may also lead to an extension of the design cycle.
[0005] This is a shortcoming of the prior art. Therefore, in view of the above-mentioned defects in the prior art, it is very necessary to provide a stress calculation method, system, equipment and medium for the clamping state of a variable-section leaf spring. Summary of the invention
[0006] In view of the defects that traditional calculation methods cannot be used for stress calculation of variable-section leaf springs, using model assumption methods reduces model accuracy, and making corrections increases design costs, the present invention provides a stress calculation method, system, equipment and medium for a variable-section leaf spring in a clamped state to solve the above technical problems.
[0007] In a first aspect, the present invention provides a method for calculating stress of a variable-section leaf spring in a clamped state, comprising the following steps: S1. Calculate the effective length of the leaf spring according to the actual vehicle installation method, construct a functional relationship between the leaf spring thickness and the leaf length, and determine the correlation coefficient of the functional relationship; S2. Measure the clamping stiffness of the leaf spring using a performance bench, and measure the cross-sectional arc radius of the leaf spring where the stress needs to be calculated; S3. Calculate the moment of inertia of the theoretical cross section and the moment of inertia of the actual cross section of the leaf spring, and calculate the cross-sectional arc coefficient of the leaf spring based on the moment of inertia of the theoretical cross section and the moment of inertia of the actual cross section; S4. Calculate the specific stress of the leaf spring and the maximum stress under any load based on the effective length of the leaf spring, the clamping stiffness of the leaf spring, the cross-sectional arc coefficient, and the concentrated load on the leaf spring, and verify whether it meets the design requirements. Furthermore, the specific steps of step S1 are as follows: S11. Determine the two bolts that fix the leaf spring and calculate the effective length of the leaf spring corresponding to each bolt using the following formula : ; Among them, l is the action distance, Indicates the distance between the upper and lower surfaces of the leaf spring clamped by bolts. Indicates the distance at which the lower surface of the leaf spring is clamped by the bolts; S12. Identify the actual vehicle installation method of the leaf spring; If the bolts are arranged in parallel, , effective length of leaf spring ; If the bolts are arranged obliquely, the effective length of the leaf spring is ; S13. Determine the structure of the leaf spring in the length direction, in order, a starting fixed thickness section, a section thickness linear variation section, a section thickness parabolic variation section, and an end fixed thickness section; S14. Determine the thickness of the leaf spring by taking the center of the starting side of the fixed thickness section of the leaf spring as the origin. Functional relationship with each length point x of the leaf spring:
[0008] in, is the thickness of the starting constant thickness section, is the thickness of the fixed thickness section at the end, is the slope of the linear variation section of the cross-sectional thickness, is the parabolic coefficient of the parabolic surface of the section thickness change segment, is the length of the starting constant thickness section, is the length of the linear variation section of the cross-sectional thickness, is the length of the parabola surface where the thickness of the cross section changes, is the length of the fixed thickness section at the end; S15. Take any two points from the parabola section of the leaf spring thickness change section and measure the thickness of the leaf spring. The parabola coefficient in the functional relationship with each length point x of the leaf spring The present invention can more accurately reflect the condition of the leaf spring in actual vehicle assembly and the true shape of its cross section by determining the effective length of the leaf spring and the functional relationship between the construction thickness and the leaf length, which helps to improve the accuracy of stress calculation and is the basis for stress analysis in subsequent steps.
[0009] Furthermore, the specific steps of step S2 are as follows: S21. The leaf spring performance test bench is used to test the stiffness of the leaf spring in the clamped state. Conduct testing; S22. Use a fillet gauge or physical scanning method to calculate the cross-sectional arc radius r of the leaf spring where the stress needs to be calculated. The present invention measures the clamping stiffness and cross-sectional arc radius of the leaf spring through a performance bench, providing necessary experimental data for calculating the stress of the leaf spring. It is more scientific and accurate than traditional methods, can reduce errors caused by empirical formulas or experimental tests, reduce design costs, and shorten design cycles.
[0010] Furthermore, the specific steps of step S3 are as follows: S31. Calculate the moment of inertia of the theoretical cross section of the leaf spring based on the theoretical width and theoretical thickness of the leaf spring. ; S32. Determine the cross section of the leaf spring at the calculated stress and divide it into basic geometric shapes. According to the basic geometric shapes and the effective length of the leaf spring, and the parabola coefficient of the parabola surface change section of the cross-section thickness Calculate the area moment of inertia of the actual cross section of the leaf spring ; S33. Section moment of inertia based on theoretical section The moment of inertia of the actual cross section The ratio of the calculation of the cross-sectional arc coefficient of the leaf spring : .
[0011] The present invention calculates the section inertia moment of the theoretical section and the actual section of the leaf spring and calculates the section arc coefficient according to the ratio of the two, which can more accurately reflect the influence of the geometric shape of the leaf spring on its stress state, help to improve the accuracy of stress calculation, and provide data for the design and optimization of the suspension system.
[0012] Furthermore, the specific steps of step S31 are as follows: S311. Obtain theoretical width of leaf spring and theoretical thickness ; S312. Based on the theoretical width of the leaf spring and theoretical thickness The moment of inertia of the theoretical cross section of the leaf spring is calculated using the following formula: : .
[0013] Furthermore, the specific steps of step S32 are as follows: S321. Determine the cross section of the leaf spring at the calculated stress, divide the cross section into a central rectangular area and arc areas on both sides, and determine the center O of one arc area; S322. According to the parabola coefficient in the parabola surface change section of the leaf spring section thickness and the effective length of the leaf spring Use the following formula to calculate the equivalent thickness of the leaf spring : ; S323. Based on the equivalent thickness of leaf spring The arc radius r of the cross section where the stress needs to be calculated is used to calculate the semi-angle between the center O of the arc area and the fan-shaped area formed by the arc using the following formula : ; S324. According to the theoretical width of the leaf spring It is necessary to calculate the radius r of the arc of the cross section at the stress point and the half angle between the center O of the arc area and the fan-shaped area formed by the arc. Use the following formula to calculate the length of the rectangular part in the middle of the cross section of the leaf spring where the stress needs to be calculated. : ; S325. According to the leaf spring, the length of the rectangular part in the middle of the cross section where the stress is calculated and leaf spring equivalent thickness The moment of inertia of the middle rectangular area is calculated using the following formula : ; S326. According to the needs of the leaf spring, calculate the radius r of the arc of the cross section at the stress point and the half angle between the center O of the arc area and the fan-shaped area formed by the arc. The following formula is used to calculate the section inertia moment of the sector area formed by the center O of the arc area and the arc : ; S327. According to the needs of the leaf spring, calculate the radius r of the arc of the cross section at the stress point and the half angle between the center O of the arc area and the fan-shaped area formed by the arc. The following formula is used to calculate the cross-sectional inertia moment of the triangular area of the overlapped area between the fan-shaped area and the middle rectangular area. : ; S328. Based on the moment of inertia of the cross section of the middle rectangular area , the section moment of inertia of the sector area and the moment of inertia of the triangle area The section moment of inertia of the actual section is calculated by the following formula: : .
[0014] The present invention can more accurately calculate the section inertia moment of the theoretical section and the actual section of the leaf spring through detailed mathematical formulas and geometric shape division, which not only improves the accuracy of the calculation, but also provides more detailed data for stress analysis in subsequent steps.
[0015] Furthermore, the specific steps of step S4 are as follows: S41. According to the effective length of the leaf spring , leaf spring clamping state stiffness , Section arc coefficient of leaf spring , Theoretical width of leaf spring And the equivalent thickness of the leaf spring Use the following formula to calculate the stress at the maximum stress position corresponding to the unit deformation of the leaf spring and record it as the specific stress : ; Where n is the distance between the section where the stress of the leaf spring needs to be calculated and the starting side of the starting fixed thickness section of the leaf spring; S42. Obtain the concentrated load F received by the leaf spring, and calculate the effective length of the leaf spring according to the concentrated load F received by the leaf spring , Leaf spring thickness and the actual cross-section moment of inertia of the leaf spring The following formula is used to calculate the stress at any position of the leaf spring under concentrated load F, and recorded as the maximum stress under any load: : ; Where n is the distance between the section where the stress of the leaf spring needs to be calculated and the starting side of the starting fixed thickness section of the leaf spring; S43. Verify the calculated specific stress of leaf springs and the maximum stress under any load Whether they all meet the assembly stress requirements of leaf springs; If so, end; If not, it is reminded that the stress calculation result of the leaf spring does not meet the requirements and needs to be redesigned. The present invention can comprehensively evaluate the stress state of the leaf spring by calculating the specific stress and the maximum stress under any load of the leaf spring and verifying whether it meets the design requirements, which helps to ensure the performance, safety and reliability of the suspension system and reduce the vehicle safety risk caused by inaccurate stress calculation.
[0016] In a second aspect, the present invention provides a stress calculation system for a variable-section leaf spring in a clamped state, comprising: The module for calculating the effective length of the leaf spring and determining the thickness function relationship is used to calculate the effective length of the leaf spring according to the actual vehicle installation method, construct the function relationship between the leaf spring thickness and the leaf length, and determine the correlation coefficient of the function relationship; Leaf spring clamping stiffness measurement and cross-sectional arc radius calculation module, used to measure the clamping stiffness of leaf springs through a performance bench, and measure the cross-sectional arc radius of leaf springs where stress needs to be calculated; The leaf spring arc coefficient calculation module is used to calculate the section inertia moment of the theoretical section and the section inertia moment of the actual section of the leaf spring, and calculate the section arc coefficient of the leaf spring according to the section inertia moment of the theoretical section and the section inertia moment of the actual section; The leaf spring stress calculation module is used to calculate the specific stress of the leaf spring and the maximum stress under any load based on the effective length of the leaf spring, the clamping stiffness of the leaf spring, the cross-sectional arc coefficient and the concentrated load on the leaf spring, and to verify whether it meets the design requirements.
[0017] In a third aspect, the present invention provides an electronic device, including a processor and a memory; The memory is used to store a computer program, and the processor is used to call and run the computer program from the memory, so that the electronic device executes the method described in the first aspect above.
[0018] In a fourth aspect, the present invention provides a storage medium, The storage medium stores instructions, which, when executed on a computer, enable the computer to execute the method described in the first aspect.
[0019] The beneficial effects of the present invention are: The stress calculation method, system, equipment and medium of the clamped state of the variable-section leaf spring provided by the present invention calculate the stress according to the actual vehicle installation mode and the actual cross-sectional shape of the leaf spring. The calculation method is simple and feasible, and the calculation accuracy is improved.
[0020] It can be seen that compared with the prior art, the present invention has outstanding substantive features and significant progress, and the beneficial effects of its implementation are also obvious. BRIEF DESCRIPTION OF THE DRAWINGS
[0021] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, for ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.
[0022] Figure 1 It is a schematic flow chart of a stress calculation method of a variable-section leaf spring in a clamped state according to the present invention.
[0023] Figure 2 It is a schematic diagram of the stress calculation system of the variable cross-section leaf spring in the clamping state of the present invention.
[0024] Figure 3 It is a schematic diagram of the clamping state of the leaf spring of the present invention.
[0025] Figure 4 is the thickness of the leaf spring of the present invention Schematic diagram of the function graph of each length point x of the leaf spring.
[0026] Figure 5 It is a schematic diagram of a theoretical cross section of the leaf spring of the present invention.
[0027] Figure 6 It is a schematic diagram of the actual cross section of the leaf spring of the present invention. DETAILED DESCRIPTION
[0028] The stress calculation method of the clamped state of a variable-section leaf spring can be applied to one or more electronic devices, wherein the electronic device is an electronic device that can automatically perform numerical calculations and / or information processing according to pre-set or stored instructions, and its hardware includes but is not limited to a microprocessor, an application specific integrated circuit (ASIC), a programmable gate array (FPGA), a digital processor (DSP), an embedded device, etc.
[0029] An electronic device may be any electronic product that can interact with a user, such as a personal computer, a tablet computer, a smart phone, a personal digital assistant (PDA), an interactive network television (IPTV), etc. The network in which the electronic device is located includes but is not limited to the Internet, a wide area network, a metropolitan area network, a local area network, a virtual private network (VPN), etc.
[0030] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work should fall within the scope of protection of the present invention.
[0031] See also Figure 1 The present invention shows a method for calculating the stress of a variable-section leaf spring in a clamped state in a specific implementation, which includes the following steps: S1. Calculate the effective length of the leaf spring according to the actual vehicle installation method, construct a functional relationship between the leaf spring thickness and the leaf length, and determine the correlation coefficient of the functional relationship; S2. Measure the clamping stiffness of the leaf spring using a performance bench, and measure the cross-sectional arc radius of the leaf spring where the stress needs to be calculated; S3. Calculate the moment of inertia of the theoretical cross section and the moment of inertia of the actual cross section of the leaf spring, and calculate the cross-sectional arc coefficient of the leaf spring based on the moment of inertia of the theoretical cross section and the moment of inertia of the actual cross section; S4. Calculate the specific stress of the leaf spring and the maximum stress under any load based on the effective length of the leaf spring, the clamping stiffness of the leaf spring, the cross-sectional arc coefficient, and the concentrated load on the leaf spring, and verify whether it meets the design requirements.
[0032] The present invention can accurately calculate the stress distribution of the leaf spring in the clamped state by constructing a functional relationship between the thickness and length of the leaf spring and combining parameters such as clamping stiffness and cross-sectional arc coefficient. The present invention improves the accuracy of stress calculation, provides reliable data support for the design and optimization of the automobile suspension system, and helps to improve the performance, safety and reliability of the suspension system.
[0033] In this embodiment, the specific steps of step S1 are as follows: S11. Determine the two bolts that fix the leaf spring and calculate the effective length of the leaf spring corresponding to each bolt using the following formula : ; in, l is the action distance, such as Figure 3 As shown, Indicates the distance between the upper and lower surfaces of the leaf spring clamped by bolts. Indicates the distance at which the lower surface of the leaf spring is clamped by the bolts; S12. Identify the actual vehicle installation method of the leaf spring; If the bolts are arranged in parallel, , effective length of leaf spring ; If the bolts are arranged obliquely, the effective length of the leaf spring is ; like Figure 3 As shown, the leaf spring is clamped by obliquely arranged bolts; S13. Determine the structure of the leaf spring in the length direction, in order, a starting fixed thickness section, a section thickness linear variation section, a section thickness parabolic variation section, and an end fixed thickness section; S14. Determine the thickness of the leaf spring by taking the center of the starting side of the fixed thickness section of the leaf spring as the origin. Functional relationship with each length point x of the leaf spring:
[0034] in, is the thickness of the starting constant thickness section, is the thickness of the fixed thickness section at the end, is the slope of the linear variation section of the cross-sectional thickness, is the parabolic coefficient of the parabolic surface of the section thickness change segment, is the length of the starting constant thickness section, is the length of the linear variation section of the cross-sectional thickness, is the length of the parabola surface where the thickness of the cross section changes, is the length of the fixed thickness section at the end; Leaf spring thickness The function graph of each length point x of the leaf spring is as follows Figure 4 As shown; S15. Take any two points from the parabola section of the leaf spring thickness change section and measure the thickness of the leaf spring. The parabola coefficient in the functional relationship with each length point x of the leaf spring Perform calculations; The specific steps of step S2 are as follows: S21. The leaf spring performance test bench is used to test the stiffness of the leaf spring in the clamped state. Conduct testing; S22. Use a fillet gauge or physical scanning method to calculate the radius r of the arc of the cross section of the leaf spring where the stress needs to be calculated; The specific steps of step S3 are as follows: S31. Calculate the moment of inertia of the theoretical cross section of the leaf spring based on the theoretical width and theoretical thickness of the leaf spring. ; The specific steps of step S31 are as follows: S311. Obtain theoretical width of leaf spring and theoretical thickness ; The theoretical cross section of the leaf spring is as follows Figure 5 As shown; S312. Based on the theoretical width of the leaf spring and theoretical thickness The moment of inertia of the theoretical cross section of the leaf spring is calculated using the following formula: : ; S32. Determine the cross section of the leaf spring at the calculated stress and divide it into basic geometric shapes. According to the basic geometric shapes and the effective length of the leaf spring, and the parabola coefficient of the parabola surface change section of the cross-section thickness Calculate the area moment of inertia of the actual cross section of the leaf spring ; The specific steps of step S32 are as follows: S321. Determine the cross section of the leaf spring at the calculated stress, such as Figure 6 As shown, the cross section is divided into a central rectangular area ABCD and arc areas on both sides, and the center O of an arc area AEB is determined; S322. According to the parabola coefficient in the parabola surface change section of the leaf spring section thickness and the effective length of the leaf spring Use the following formula to calculate the equivalent thickness of the leaf spring : ; S323. Based on the equivalent thickness of leaf spring The arc radius r of the cross section where the stress needs to be calculated is used to calculate the semi-angle of the fan-shaped area OAEB formed by the center O of the arc area and the arc AEB using the following formula , ; in, , ; because , so it is concluded that The calculation formula of S324. According to the theoretical width of the leaf spring It is necessary to calculate the radius r of the arc of the cross section at the stress point and the half angle between the center O of the arc area and the fan-shaped area formed by the arc. Use the following formula to calculate the length of the rectangular part in the middle of the cross section of the leaf spring where the stress needs to be calculated. : ; in,
[0035] Also because , so the calculation formula of b above is obtained; S325. According to the leaf spring, the length of the rectangular part in the middle of the cross section where the stress is calculated and leaf spring equivalent thickness The moment of inertia of the middle rectangular area is calculated using the following formula : ; S326. According to the needs of the leaf spring, calculate the radius r of the arc of the cross section at the stress point and the half angle between the center O of the arc area and the fan-shaped area formed by the arc. The following formula is used to calculate the section inertia moment of the sector area formed by the center O of the arc area and the arc : ; S327. According to the needs of the leaf spring, calculate the radius r of the arc of the cross section at the stress point and the half angle between the center O of the arc area and the fan-shaped area formed by the arc. The following formula is used to calculate the cross-sectional inertia moment of the triangular area of the overlapped area between the fan-shaped area and the middle rectangular area. : ; S328. According to the moment of inertia of the cross section of the middle rectangular area , the moment of inertia of the sector area and the moment of inertia of the triangle area The section moment of inertia of the actual section is calculated by the following formula: : ; S33. Section moment of inertia based on theoretical section The moment of inertia of the actual cross section The ratio of the calculation of the cross-sectional arc coefficient of the leaf spring : ; The specific steps of step S4 are as follows: S41. According to the effective length of the leaf spring , leaf spring clamping state stiffness , Section arc coefficient of leaf spring , Theoretical width of leaf spring And the equivalent thickness of the leaf spring Use the following formula to calculate the stress at the maximum stress position corresponding to the unit deformation of the leaf spring and record it as the specific stress : ; Where n is the distance between the section where the stress of the leaf spring needs to be calculated and the starting side of the starting fixed thickness section of the leaf spring; S42. Obtain the concentrated load F received by the leaf spring, and calculate the effective length of the leaf spring according to the concentrated load F received by the leaf spring , Leaf spring thickness and the actual cross-section moment of inertia of the leaf spring The following formula is used to calculate the stress at any position of the leaf spring under concentrated load F, and recorded as the maximum stress under any load: : ; Where n is the distance between the section where the stress of the leaf spring needs to be calculated and the starting side of the starting fixed thickness section of the leaf spring; For a variable-section leaf spring assembly, the maximum stress of the leaf spring under a specified load is calculated according to the national standard GB / T 19844 algorithm and the algorithm of this application. At the same time, the maximum stress of the leaf spring under the same load is tested by stress-strain testing. The comparison of the three stresses is shown in Table 1: Table 1
[0036] The results show that the algorithm proposed in this application can significantly improve the calculation accuracy; S43. Verify the calculated specific stress of leaf springs and the maximum stress under any load Whether they all meet the assembly stress requirements of leaf springs; If so, end; If not, it reminds you that the stress calculation result of the leaf spring does not meet the requirements and needs to be redesigned.
[0037] It should be understood that the order of execution of the steps in the above embodiment does not mean that 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.
[0038] The following is an embodiment of a stress calculation system for a variable-section leaf spring in a clamped state provided by an embodiment of the present disclosure. The system and the stress calculation method for a variable-section leaf spring in a clamped state of the above-mentioned embodiments belong to the same inventive concept. For details not fully described in the embodiment of the stress calculation system for a variable-section leaf spring in a clamped state, reference can be made to the embodiment of the stress calculation method for a variable-section leaf spring in a clamped state of the above-mentioned embodiments.
[0039] like Figure 2 As shown, the system includes: The module for calculating the effective length of the leaf spring and determining the thickness function relationship is used to calculate the effective length of the leaf spring according to the actual vehicle installation method, construct the function relationship between the leaf spring thickness and the leaf length, and determine the correlation coefficient of the function relationship; Leaf spring clamping stiffness measurement and cross-sectional arc radius calculation module, used to measure the clamping stiffness of leaf springs through a performance bench, and measure the cross-sectional arc radius of leaf springs where stress needs to be calculated; The leaf spring arc coefficient calculation module is used to calculate the section inertia moment of the theoretical section and the section inertia moment of the actual section of the leaf spring, and calculate the section arc coefficient of the leaf spring according to the section inertia moment of the theoretical section and the section inertia moment of the actual section; The leaf spring stress calculation module is used to calculate the specific stress of the leaf spring and the maximum stress under any load based on the effective length of the leaf spring, the clamping stiffness of the leaf spring, the cross-sectional arc coefficient and the concentrated load on the leaf spring, and to verify whether it meets the design requirements.
[0040] The stress calculation method of the clamped state of the variable cross-section leaf spring provided by the present invention is a module and algorithm step of each example described in the embodiments disclosed herein, which can be implemented by electronic hardware, computer software or a combination of the two. In order to clearly illustrate the interchangeability of hardware and software, the composition and steps of each example have been generally described in the above description according to the function. Whether these functions are executed 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.
[0041] Those skilled in the art will appreciate that the various aspects of the stress calculation method for a variable cross-section leaf spring in a clamped state provided by the present invention can be implemented as a system, method or program product. Therefore, various aspects of the present disclosure can be specifically implemented in the following forms, namely: a complete hardware implementation, a complete software implementation (including firmware, microcode, etc.), or an implementation combining hardware and software aspects, which can be collectively referred to as a "circuit", "module" or "system" here.
[0042] In the non-transitory computer-readable storage medium storing the stress calculation method of the clamped state of the variable-section leaf spring, it can be, but not limited to, an electrical, magnetic, optical, electromagnetic, infrared, or semiconductor system, device or device, or any combination thereof. More specific examples (non-exhaustive list) of readable storage media include: an electrical connection with one or more wires, a portable disk, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disk read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination thereof.
[0043] Although the present invention has been described in detail with reference to the accompanying drawings and in combination with the preferred embodiments, the present invention is not limited thereto. Without departing from the spirit and essence of the present invention, a person of ordinary skill in the art may make various equivalent modifications or substitutions to the embodiments of the present invention, and these modifications or substitutions shall be within the scope of the present invention. Any person of ordinary skill in the art may easily think of changes or substitutions within the technical scope disclosed by the present invention, and these shall be within the scope of protection of the present invention.
Claims
1. A method for calculating stress of a variable cross-section leaf spring in a clamped state, characterized in that: The steps include: S1. Calculate the effective length of the leaf spring according to the actual vehicle installation method, construct a functional relationship between the leaf spring thickness and the leaf length, and determine the correlation coefficient of the functional relationship; S2. Measure the clamping stiffness of the leaf spring using a performance bench, and measure the cross-sectional arc radius of the leaf spring where the stress needs to be calculated; S3. Calculate the moment of inertia of the theoretical cross section and the moment of inertia of the actual cross section of the leaf spring, and calculate the cross-sectional arc coefficient of the leaf spring based on the moment of inertia of the theoretical cross section and the moment of inertia of the actual cross section; S4. Calculate the specific stress of the leaf spring and the maximum stress under any load based on the effective length of the leaf spring, the clamping stiffness of the leaf spring, the cross-sectional arc coefficient, and the concentrated load on the leaf spring, and verify whether it meets the design requirements.
2. The method for calculating stress of a variable cross-section leaf spring in a clamped state according to claim 1, characterized in that: The specific steps of step S1 are as follows: S11. Determine the two bolts that fix the leaf spring and calculate the effective length of the leaf spring corresponding to each bolt using the following formula : ； Among them, l is the action distance, Indicates the distance between the upper and lower surfaces of the leaf spring clamped by bolts. Indicates the distance at which the lower surface of the leaf spring is clamped by the bolts; S12. Identify the actual vehicle installation method of the leaf spring; If the bolts are arranged in parallel, , effective length of leaf spring ; If the bolts are arranged obliquely, the effective length of the leaf spring is ; S13. Determine the structure of the leaf spring in the length direction, in order, a starting fixed thickness section, a section thickness linear variation section, a section thickness parabolic variation section, and an end fixed thickness section; S14. Determine the thickness of the leaf spring by taking the center of the starting side of the fixed thickness section of the leaf spring as the origin. Functional relationship with each length point x of the leaf spring: in, is the thickness of the starting constant thickness section, is the thickness of the fixed thickness section at the end, is the slope of the linear variation section of the cross-section thickness, is the parabolic coefficient of the parabolic surface of the section thickness change segment, is the length of the starting constant thickness section, is the length of the linear variation section of the cross-sectional thickness, is the length of the parabolic surface where the thickness of the cross section changes, is the length of the fixed thickness section at the end; S15. Take any two points from the parabola section of the leaf spring thickness change section and measure the thickness of the leaf spring. The parabola coefficient in the functional relationship with each length point x of the leaf spring Perform calculations.
3. The method for calculating stress of a variable cross-section leaf spring in a clamped state according to claim 2, characterized in that: The specific steps of step S2 are as follows: S21. The leaf spring performance test bench is used to test the stiffness of the leaf spring in the clamped state. Conduct testing; S22. When calculating leaf springs using a fillet gauge or physical scanning, it is necessary to calculate the radius r of the arc of the cross section at the stress point.
4. The method for calculating stress of a variable cross-section leaf spring in a clamped state according to claim 3, characterized in that: The specific steps of step S3 are as follows: S31. Calculate the moment of inertia of the theoretical cross section of the leaf spring based on the theoretical width and theoretical thickness of the leaf spring. ; S32. Determine the cross section of the leaf spring at the calculated stress and divide it into basic geometric shapes. According to the basic geometric shapes and the effective length of the leaf spring, and the parabola coefficient of the parabola surface change section of the cross-section thickness Calculate the area moment of inertia of the actual cross section of the leaf spring ; S33. Section moment of inertia based on theoretical section The moment of inertia of the actual cross section The ratio of the calculation of the cross-sectional arc coefficient of the leaf spring : 。 5. The method for calculating stress of a variable cross-section leaf spring in a clamped state according to claim 4, characterized in that: The specific steps of step S31 are as follows: S311. Obtain theoretical width of leaf spring and theoretical thickness ; S312. Based on the theoretical width of the leaf spring and theoretical thickness The moment of inertia of the theoretical cross section of the leaf spring is calculated using the following formula: : 。 6. The method for calculating stress of a variable cross-section leaf spring in a clamped state according to claim 5, characterized in that: The specific steps of step S32 are as follows: S321. Determine the cross section of the leaf spring at the calculated stress, divide the cross section into a central rectangular area and arc areas on both sides, and determine the center O of one arc area; S322. According to the parabola coefficient in the parabola surface change section of the leaf spring section thickness and the effective length of the leaf spring Use the following formula to calculate the equivalent thickness of the leaf spring : ； S323. Based on the equivalent thickness of leaf spring The arc radius r of the cross section where the stress needs to be calculated is used to calculate the semi-angle between the center O of the arc area and the fan-shaped area formed by the arc using the following formula : ； S324. According to the theoretical width of the leaf spring It is necessary to calculate the radius r of the arc of the cross section at the stress point and the half angle between the center O of the arc area and the fan-shaped area formed by the arc. Use the following formula to calculate the length of the rectangular part in the middle of the cross section of the leaf spring where the stress needs to be calculated. : ； S325. According to the leaf spring, the length of the rectangular part in the middle of the cross section where the stress is calculated and leaf spring equivalent thickness The moment of inertia of the middle rectangular area is calculated using the following formula : ； S326. According to the needs of the leaf spring, calculate the radius r of the arc of the cross section at the stress point and the half angle between the center O of the arc area and the fan-shaped area formed by the arc. The following formula is used to calculate the section inertia moment of the sector area formed by the center O of the arc area and the arc : ； S327. According to the needs of the leaf spring, calculate the radius r of the arc of the cross section at the stress point and the half angle between the center O of the arc area and the fan-shaped area formed by the arc. The following formula is used to calculate the cross-sectional inertia moment of the triangular area of the overlapped area between the fan-shaped area and the middle rectangular area. : ； S328. Based on the moment of inertia of the cross section of the middle rectangular area , the section moment of inertia of the sector area and the moment of inertia of the triangle area The section moment of inertia of the actual section is calculated by the following formula: : 。 7. The method for calculating stress of a variable cross-section leaf spring in a clamped state according to claim 5, characterized in that: The specific steps of step S4 are as follows: S41. According to the effective length of the leaf spring , leaf spring clamping state stiffness , Section arc coefficient of leaf spring , Theoretical width of leaf spring And the equivalent thickness of the leaf spring Use the following formula to calculate the stress at the maximum stress position corresponding to the unit deformation of the leaf spring and record it as the specific stress : ； Where n is the distance between the section where the stress of the leaf spring needs to be calculated and the starting side of the starting fixed thickness section of the leaf spring; S42. Obtain the concentrated load F received by the leaf spring, and calculate the effective length of the leaf spring according to the concentrated load F received by the leaf spring , Leaf spring thickness and the actual cross-section moment of inertia of the leaf spring The following formula is used to calculate the stress at any position of the leaf spring under concentrated load F, and recorded as the maximum stress under any load: : ； Where n is the distance between the section where the stress of the leaf spring needs to be calculated and the starting side of the starting fixed thickness section of the leaf spring; S43. Verify the calculated specific stress of leaf springs and the maximum stress under any load Whether they all meet the assembly stress requirements of leaf springs; If so, end; If not, it reminds you that the stress calculation result of the leaf spring does not meet the requirements and needs to be redesigned.
8. A stress calculation system for a variable cross-section leaf spring in a clamped state, characterized in that: include: The module for calculating the effective length of the leaf spring and determining the thickness function relationship is used to calculate the effective length of the leaf spring according to the actual vehicle installation method, construct the function relationship between the leaf spring thickness and the leaf length, and determine the correlation coefficient of the function relationship; Leaf spring clamping stiffness measurement and cross-sectional arc radius calculation module, used to measure the clamping stiffness of leaf springs through a performance bench, and measure the cross-sectional arc radius of leaf springs where stress needs to be calculated; The leaf spring arc coefficient calculation module is used to calculate the section inertia moment of the theoretical section and the section inertia moment of the actual section of the leaf spring, and calculate the section arc coefficient of the leaf spring according to the section inertia moment of the theoretical section and the section inertia moment of the actual section; The leaf spring stress calculation module is used to calculate the specific stress of the leaf spring and the maximum stress under any load based on the effective length of the leaf spring, the clamping stiffness of the leaf spring, the cross-sectional arc coefficient and the concentrated load on the leaf spring, and to verify whether it meets the design requirements.
9. An electronic device, characterized in that: including a processor and a memory; The memory is used to store a computer program, and the processor is used to call and run the computer program from the memory, so that the electronic device executes the method described in any one of claims 1 to 7.
10. A storage medium, characterized in that: The storage medium stores instructions, which, when executed on a computer, enable the computer to execute the method described in any one of claims 1 to 7.