Method for calculating endpoint displacement of inward bending type transverse stabilizer bar

The segmented analytical method was used to calculate the end displacement of the inwardly bending lateral stabilizer bar, which solved the problem of insufficient calculation accuracy in the existing technology and improved the accuracy and reliability of vehicle-axle design analysis.

CN121980684APending Publication Date: 2026-05-05GK DRIVE SYST (SUZHOU) CO LTD
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
GK DRIVE SYST (SUZHOU) CO LTD
Filing Date
2026-01-21
Publication Date
2026-05-05

AI Technical Summary

Technical Problem

Existing technologies use the standard equal-arm trapezoidal formula when calculating the end displacement of complex inward-bending lateral stabilizer bars, which reduces the calculation accuracy, affects the calculation results of stabilizer bar stiffness, and can easily lead to design defects.

Method used

Using a piecewise analytical method based on mechanics of materials and theoretical mechanics, the endpoint displacement of an inwardly bent transverse stabilizer is accurately calculated. The endpoint displacement is obtained by calculating the deformation potential energy and the work done by the force in the transverse stabilizer piecewise, and by utilizing the principle of work-potential energy equality.

Benefits of technology

It improves the accuracy of lateral stabilizer bar stiffness calculation, provides a reliable basis for axle design analysis, simplifies the calculation process, and improves the accuracy of calculation and results.

✦ Generated by Eureka AI based on patent content.

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Abstract

A method for calculating endpoint displacement of an inward bending type transverse stabilizer bar belongs to the technical field of vehicle suspension design, and mainly comprises the following steps: taking half of the transverse stabilizer bar based on symmetry for segmented analysis, and calculating the total deformation potential energy in the half of the transverse stabilizer bar when two endpoints of the transverse stabilizer bar are subjected to acting forces with the same magnitude and opposite directions; on the basis of displacement generated by the stress end points of the half stabilizer bar when the two end points of the transverse stabilizer bar are stressed, work done by the force is calculated; according to the functional principle, displacement generated by the stress end point of the inward bending type transverse stabilizer bar is obtained. According to the method, a segmented analysis method is adopted, the theory that work done by the acting force is equal to the total deformation potential energy in the transverse stabilizer bar is utilized, the endpoint displacement is calculated, the calculation mode is easy to understand, solving is easy and convenient, the calculation precision is higher, and the result is more accurate.
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Description

Technical Field

[0001] This invention relates to the field of vehicle suspension design technology, and in particular to a method for calculating the end displacement of an inwardly curved lateral stabilizer bar. Background Technology

[0002] Due to vehicle layout considerations, stabilizer bars are often designed with complex shapes. To simplify calculations, when conducting theoretical analysis of stabilizer bars, they are generally approximated as equal-arm trapezoids. Using the formula for equal-arm trapezoidal stabilizer bars, the displacement of the stabilizer bar endpoints during vehicle roll can be easily calculated. However, if the standard formula for equal-arm trapezoidal stabilizer bars is still used for complex inward-bending stabilizer bars, the calculation accuracy will be greatly reduced, thus affecting the stabilizer bar stiffness calculation results and potentially leading to design flaws. Summary of the Invention

[0003] This disclosure addresses inwardly bending lateral stabilizer bars. Based on materials mechanics and theoretical mechanics, it employs a piecewise analytical method to accurately calculate the end displacement of this type of lateral stabilizer bar, providing a reliable theoretical basis for lateral stabilizer bar stiffness calculation and improving the accuracy of axle design analysis.

[0004] The method for calculating the end displacement of an inwardly bent lateral stabilizer bar disclosed herein includes the following steps:

[0005] S1, assume that the two ends of the transverse stabilizer are subjected to equal and opposite forces. Based on the symmetry of the lateral stabilizer, the force is calculated. Under the action of the lateral stabilizer bar, the total deformation potential energy stored in half of the bar;

[0006] S2, based on force Displacement at the stressed end of the lateral stabilizer bar under action Computational power The work done;

[0007] S3, according to the work-energy principle, i.e., the force obtained in step S2. The work done is equal to the total deformation potential energy in the half of the transverse stabilizer obtained in step S1, resulting in a force. Displacement at the force-bending end of the inward-bending lateral stabilizer bar under action .

[0008] Furthermore, in step S1, the total deformation potential energy in the lateral stabilizer is calculated segment by segment according to the straight segments that make up the lateral stabilizer.

[0009] The straight segments that make up the lateral stabilizer bar include, in a continuous sequence, a terminal segment, several connected curved arm segments, and a straight arm segment in the middle; the terminal segment and the straight arm segment are perpendicular to each other, and the foot of the perpendicular is inside the straight arm segment.

[0010] The straight boom section is divided into: segment l0 located between the centers of the two supports, segment l2 located between the center of the support and the same-side end point of the straight boom section, and segment l3 located between the projection point of the end point of the lateral stabilizer bar on the straight boom section and the same-side end point of the straight boom section.

[0011] The total deformation potential energy in the half-lateral stabilizer bar includes: the bending potential energy of the terminal segment, and the bending potential energy plus torsional potential energy of each bend segment. The bending potential energy of the segment, The bending potential energy of the segment, The bending potential energy in half of the segment, and the torsional potential energy in half of the entire straight boom segment.

[0012] Furthermore, in step S1, the calculation method for the potential energy of each segment includes:

[0013] (1) Bending potential energy of the terminal segment :

[0014]

[0015] In the formula, ρ is the force acting on the end of the stabilizer bar; J is the moment of inertia of the cross section of the stabilizer bar; E is the elastic modulus of the material; l8 is the length of the terminal segment;

[0016] (2) The bending potential energy of each bend arm segment is:

[0017]

[0018] In the formula, This is the length of the curved boom section;

[0019] The distance from the end of the stabilizer bar to the nearest end of the bend arm segment;

[0020] The direction of the additional couple vector generated by the translation of the force at the end of the stabilizer bar to the bend segment and the angle of the bend segment;

[0021] The torsional potential energy is:

[0022]

[0023] In the formula, The shear modulus of elasticity of the material;

[0024] Let be the polar moment of inertia of the cross section of the lateral stabilizer bar;

[0025] (3) The bending potential energy of the segment is:

[0026]

[0027] In the formula, The distance between the projection point of the lateral stabilizer bar endpoint onto the straight boom section and the same-side endpoint of the straight boom section;

[0028] (4) The bending potential energy of the segment is:

[0029]

[0030] In the formula, l2 is the distance between the center of the support and the end point on the same side of the straight arm segment;

[0031] (5) The bending potential energy in half of the segment is:

[0032]

[0033] In the formula, l0 is the center distance of the lateral stabilizer bar support;

[0034] (6) The torsional potential energy in half of the straight boom section is

[0035]

[0036] In the formula, l T is the length of the straight arm section of the stabilizer bar, and l is the vertical distance from the end point of the stabilizer bar to the straight arm section of the stabilizer bar.

[0037] Furthermore, in step S2, the displacement of the end point of the lateral stabilizer bar changes from 0 to... During the process, force The work done

[0038] W=

[0039] In the formula, This represents the linear stiffness of the lateral stabilizer bar.

[0040] Furthermore, step S3 specifically includes:

[0041] According to the functional principle, we can conclude that:

[0042] = Bending potential energy of the final segment + Bending potential energy of each bend arm segment + Torsional potential energy of each bend arm segment + Bending potential energy of the segment + Bending potential energy of the segment + The bending potential energy in half of the segment + the torsional potential energy in half of the straight arm segment

[0043] After rearranging the terms, we get the force. Displacement of the end point of the inward bending type lateral stabilizer bar under action The calculation formula.

[0044] Compared with existing technologies, the beneficial effects of this disclosure are: ① The end displacement of the inwardly bent lateral stabilizer bar calculated by this method is more accurate and the result is more precise than that calculated by simplifying it to a standard trapezoidal lateral stabilizer bar; ② The end displacement is calculated using a piecewise analytical method based on the theory that the work done by the force is equal to the total deformation potential energy in the lateral stabilizer bar. Compared with the derivation method based on basic bending and torsional deformation for isolation and hardening, the calculation method is easier to understand and the solution is simpler; ③ It provides a reliable calculation basis for the stiffness calculation of the lateral stabilizer bar and improves the accuracy of axle design analysis. Attached Figure Description

[0045] The above and other objects, features and advantages of this disclosure will become more apparent from the more detailed description of exemplary embodiments of this disclosure taken in conjunction with the accompanying drawings, in which the same reference numerals generally represent the same components.

[0046] Figure 1 Here is a flowchart for calculating the end displacement of an inwardly bent lateral stabilizer bar according to this disclosure;

[0047] Figure 2 This is a simplified diagram of an inwardly bent lateral stabilizer bar structure.

[0048] Figure 3 The force analysis diagram for segment l8 is shown below.

[0049] Figure 4 The force analysis diagram for segment l7 is shown below.

[0050] Figure 5 The force analysis diagram for segment l6 is shown below.

[0051] Figure 6 The force analysis diagram for segment l5 is shown below.

[0052] Figure 7 The force analysis diagram for segment l4 is shown below.

[0053] Figure 8 The force analysis diagram for segment l1 is shown below.

[0054] Figure 9 The force analysis diagram for segment l3 is shown below.

[0055] Figure 10 The force analysis diagram for segment l2 is shown below.

[0056] Figure 11Force analysis diagram for the left half of segment l0;

[0057] Figure 12 For l T Force analysis diagram of the left half of the segment. Detailed Implementation

[0058] Preferred embodiments of the present disclosure will now be described in more detail with reference to the accompanying drawings. While preferred embodiments of the present disclosure are shown in the drawings, it should be understood that the present disclosure may be implemented in various forms and should not be limited to the embodiments set forth herein. Rather, these embodiments are provided so that the present disclosure will be thorough and complete, and will fully convey the scope of the present disclosure to those skilled in the art.

[0059] This disclosure proposes a method for calculating the end displacement of an inwardly bent lateral stabilizer bar. The method employs a piecewise analytical approach and utilizes the theory that the work done by the applied force is equal to the total deformation potential energy in the lateral stabilizer bar to calculate the end displacement.

[0060] As an exemplary embodiment, a simplified diagram of a symmetrical inwardly curved lateral stabilizer bar structure is attached. Figure 2 As shown; the straight segments that make up this lateral stabilizer bar, in continuous order, include: terminal segment Segments, connected in sequence of curved arm segments part, part, part, part, The segment, and the straight boom segment in the middle. The terminal segment and the straight arm segment are perpendicular to each other, with the foot of the perpendicular inside the straight arm segment.

[0061] The straight arm section The segment is further divided into: segment l0, located between the centers of the two supports; segment l2, located between the center of the support and the same-side endpoint of the straight arm segment; and segment l3, located between the projection point of the lateral stabilizer bar endpoint on the straight arm segment and the same-side endpoint of the straight arm segment.

[0062] Assume that when the vehicle body rolls, a force F is applied to one end of the stabilizer bar. h At its other end, an equal and opposite force acts. In force F h Under the action of force, the lateral stabilizer bar will undergo elastic deformation, F h The work done is equal to the total deformation potential energy in the lateral stabilizer bar. In this embodiment, this relationship is used to calculate the work done at F. h Displacement f at the end of the lateral stabilizer bar under action g .

[0063] The detailed calculation process is shown in the attached document. Figure 1 As shown, the main steps include:

[0064] Step 1: Segmentation

[0065] The deformation potential energy of the half of the lateral stabilizer bar includes: The bending potential energy U1 of the segment, The bending potential energy U2 + torsional potential energy U3 of the segment The bending potential energy U4 + torsional potential energy U5 of the segment The bending potential energy U6 + torsional potential energy U7 of the segment The bending potential energy U8 + torsional potential energy U9 of the segment Bending potential energy U of the segment 10 +Torsion potential energy U 11 , Bending potential energy U of the segment 12 , Bending potential energy U of the segment 13 , The bending potential energy U in half of the segment 14 , Torsional potential energy U in half of the segment 15 .

[0066] Step 2: Using the analysis results of mechanics of materials, explain the calculation method of the above potential energy in sections.

[0067] 1. The calculation method for the bending potential energy U1 of the segment:

[0068] 1) Extract segment l8 separately and obtain the force F acting on the end of the lateral stabilizer bar. h ;

[0069] 2) Establish a coordinate system for segment l8, with the point where the force acts at the end of the lateral stabilizer bar as the origin of l8. The x1 axis points to the right, and the y1 axis points upward, as follows: Figure 3 As shown;

[0070] 3) Use the section method to cut section x1 from segment l8;

[0071] 4) Calculate the bending moment M(x1) at section x1:

[0072] M(x1)=F h * x1;

[0073] 5) Calculate the bending potential energy U1 of segment l8:

[0074] U1 =

[0075] In the formula, J is the moment of inertia of the cross section of the lateral stabilizer; E is the elastic modulus of the material.

[0076] 2. The calculation method for the bending potential energy U2 of the segment:

[0077] 1) Extract segment l7 separately, select the left endpoint of segment l7 as the origin, and establish a coordinate system for segment l7. The x2 axis points to the right of segment l7, and the y2 axis points to the top of segment l7, as follows: Figure 4 As shown;

[0078] 2) The force F acting on the end of the lateral stabilizer bar h Translate to the origin of the coordinate system of segment l7, and a force is applied to segment l7. And a couple M o0 ,like Figure 4 As shown.

[0079] 3) Calculate the moment M o0 :

[0080] = Decompose it orthogonally along the coordinate axes into torque M x0 and bending moment M y0 :

[0081] = =

[0082] = =

[0083] 4) Use the section method to cut section x2 in segment l7;

[0084] 5) Calculate the bending moment M(x2) at section x2:

[0085] M(x2)=F h *x2+M y0 ;

[0086] 6) Calculate the bending potential energy U2 of segment l7:

[0087] U2 =

[0088] =

[0089] 3. The calculation method for the torsional potential energy U3 of the segment:

[0090] 1) Calculate the torque T0 of segment l7:

[0091] T0=M x0 =

[0092] 2) Calculate the torsional potential energy U3 of segment l7:

[0093] U3 =

[0094] In the formula, J is the moment of inertia of the cross section of the lateral stabilizer; E is the elastic modulus of the material.

[0095] Jp is the polar moment of inertia of the cross section of the lateral stabilizer; G is the shear modulus of the material.

[0096] 4. The calculation method for the bending potential energy U4 of the segment:

[0097] 1) Extract segment l6 separately, select the left endpoint of segment l6 as the origin, and establish a coordinate system for segment l6. The x3 axis points to the right of segment l6, and the y3 axis points to the top of segment l6, as follows: Figure 5 As shown;

[0098] 2) The force F acting on the end of the lateral stabilizer bar h Translate to the origin of the coordinate system of segment l6, and a force is applied to segment l6. And a couple M o1 ,like Figure 5 As shown.

[0099] 3) Calculate the moment M o1 :

[0100] = Decompose it orthogonally along the coordinate axes into torque M x1 and bending moment M y1 :

[0101] = =

[0102] = =

[0103] 4) Use the section method to cut section x3 from segment l6;

[0104] 5) Calculate the bending moment M(x3) at section x3:

[0105] M(x3)=F h *x3+M y1 ;

[0106] 6) Calculate the bending potential energy U4 of segment l6:

[0107] =

[0108] =

[0109] 5. The calculation method for the torsional potential energy U5 of the segment:

[0110] 1) Calculate the torque T1 of segment l6:

[0111] T1=M x1 =

[0112] 3) Calculate the torsional potential energy U5 of segment l6:

[0113] U5 =

[0114] In the formula, J is the moment of inertia of the cross section of the lateral stabilizer; E is the elastic modulus of the material.

[0115] J p G is the polar moment of inertia of the cross section of the lateral stabilizer bar; G is the shear modulus of the material.

[0116] 6. The calculation method for the bending potential energy U6 of the segment:

[0117] 1) Extract segment l5 separately, select the left endpoint of segment l5 as the origin, and establish a coordinate system for segment l5. The x4 axis points to the right of segment l5, and the y4 axis points to the top of segment l5, as follows: Figure 6 As shown;

[0118] 2) The force F acting on the end of the lateral stabilizer bar h Translate to the origin of the coordinate system of segment l5, and a force is applied to segment l5. And a couple M o2 ,like Figure 6 As shown.

[0119] 3) Calculate the moment M o2 :

[0120] = Decompose it orthogonally along the coordinate axes into torque M x2 and bending moment M y2 :

[0121] = =

[0122] = =

[0123] 4) Use the section method to cut section x4 from segment l5;

[0124] 5) Calculate the bending moment M(x4) at section x4:

[0125] M(x4)=F h *x4+M y2 ;

[0126] 6) Calculate the bending potential energy U6 of segment l5:

[0127] U6 =

[0128] =

[0129] 7. The calculation method for the torsional potential energy U7 of the segment:

[0130] 1) Calculate the torque T2 of segment l5:

[0131] T2=M x2 =

[0132] 2) Calculate the torsional potential energy U7 of segment l5:

[0133] U7 =

[0134] In the formula, J is the moment of inertia of the cross section of the lateral stabilizer; E is the elastic modulus of the material.

[0135] J p G is the polar moment of inertia of the cross section of the lateral stabilizer bar; G is the shear modulus of the material.

[0136] 8. The calculation method for the bending potential energy U8 of the segment:

[0137] 1) Extract segment l4 separately, select the left endpoint of segment l4 as the origin, and establish a coordinate system for segment l4. The x5 axis points to the right of segment l4, and the y5 axis points to the top of segment l4, as follows: Figure 7 As shown;

[0138] 2) The force F acting on the end of the lateral stabilizer bar h Translate to the origin of the coordinate system of segment l4, where a force acts on segment l4. And a couple M o3 ,like Figure 7 As shown.

[0139] 3) Calculate the moment M o3 :

[0140] = Decompose it orthogonally along the coordinate axes into torque M x3 and bending moment M y3 :

[0141] = =

[0142] = =

[0143] 4) Use the section method to cut section x5 from segment l4;

[0144] 5) Calculate the bending moment M(x5) at section x5:

[0145] M(x5)=F h *x5+M y3 ;

[0146] 6) Calculate the bending potential energy U8 of segment l4:

[0147] U8 =

[0148] =

[0149] 9. The calculation method for the torsional potential energy U9 of the segment:

[0150] 1) Calculate the torque T3 of segment l4:

[0151] T3=M x3 =

[0152] 3) Calculate the torsional potential energy U9 of segment l4:

[0153] U9 =

[0154] In the formula, J is the moment of inertia of the cross section of the lateral stabilizer; E is the elastic modulus of the material.

[0155] Jp is the polar moment of inertia of the cross section of the lateral stabilizer; G is the shear modulus of the material.

[0156] 10. Bending potential energy U of the segment 10 Calculation method:

[0157] 1) Extract segment l1 separately, select the left endpoint of segment l1 as the origin, and establish a coordinate system for segment l1. The x6 axis points to the right of segment l1, and the y6 axis points to the top of segment l1, as follows: Figure 8 As shown;

[0158] 2) The force F acting on the end of the lateral stabilizer bar h Translate to the origin of the coordinate system of segment l1, where a force acts on segment l1. And a couple M o4 ,like Figure 8 As shown.

[0159] 3) Calculate the moment M o4 :

[0160] = Decompose it orthogonally along the coordinate axes into torque M x4 and bending moment M y4 :

[0161] = =

[0162] = =

[0163] 4) Use the section method to cut section x6 in segment l1;

[0164] 5) Calculate the bending moment M(x6) at section x6:

[0165] M(x6)=F h *x6+M y4 ;

[0166] 6) Calculate the bending potential energy U of segment l1. 10 :

[0167] U 10 =

[0168] =

[0169] 11. Torsional potential energy U of the segment 11 Calculation method:

[0170] 1) Calculate the torque T4 of segment l1:

[0171] T4=M x4 =

[0172] 2) Calculate the torsional potential energy U of segment l1. 11 :

[0173] U 11 =

[0174] In the formula, J is the moment of inertia of the cross section of the lateral stabilizer; E is the elastic modulus of the material.

[0175] Jp is the polar moment of inertia of the cross section of the lateral stabilizer; G is the shear modulus of the material.

[0176] 12. Bending potential energy U of the segment 12 Calculation method:

[0177] 1) Extract segment l3 separately, select the right endpoint of segment l3 as the origin, and establish a coordinate system for segment l3. The x7 axis points to the left of segment l3, and the y7 axis points to the top of segment l3, as follows: Figure 9 As shown;

[0178] 2) The force F acting on the end of the lateral stabilizer bar h Translate to the origin of the coordinate system of segment l3, and a force is applied to segment l3. And an additional couple, the force acting to make The segment generates bending potential energy U 12 The action of the couple makes 15 (This part will be discussed later).

[0179] 3) Use the section method to cut section x7 from segment l3;

[0180] 4) Calculate the bending moment M(x7) at section x7:

[0181] M(x7)=F h *x7;

[0182] 5) Calculation Bending potential energy U of the segment 12 :

[0183] U 12

[0184] 13. Bending potential energy U of the segment 13 Calculation method:

[0185] 1) Extract segments l2 and l3. Select the left endpoint of segment l2 as the origin and establish a coordinate system for segment l2. The x8 axis points to the right of segment l2, and the y8 axis points upwards from segment l2. Figure 10 As shown;

[0186] 2) The force F acting on the end of the lateral stabilizer bar h When translated to the right end of segment l3, segment l2 generates a force. And an additional couple, the force acting to make The segment generates bending potential energy U 13 The action of the couple makes 15 (This part will be discussed later).

[0187] 3) Use the section method to cut the x8 section in segment l2;

[0188] 4) Calculate the bending moment M(x8) at section x8:

[0189] ;

[0190] 5) Calculation Bending potential energy U of the segment 13 :

[0191] 14. The bending potential energy U in half of the segment 14 Calculation method:

[0192] 1) Extract the left half of segments l3, l2, and l0;

[0193] 2) Establish a coordinate system with the right endpoint of segment l0 / 2 as the origin, with the x-axis pointing to the left and the y-axis pointing upwards, as follows: Figure 11 As shown;

[0194] 3) Apply force to the end of the stabilizer bar Translate to The right endpoint of the segment, The segment generates a force An additional couple, the force of which causes bending potential energy U to be generated in half of segment l0. 14 The action of the couple makes l T Torsional potential energy U is generated in half of the segment. 15 (This part will be discussed later).

[0195] 4) To Draw bending moment diagrams for segment l1, segment l2, and segment l0 / 2;

[0196] 5) Use the section method to cut the x9 section in the l0 / 2 segment;

[0197] 6) Calculate the bending moment M(x9) at section x9 in segment l0 / 2 based on the bending moment diagram:

[0198]

[0199] 7) Calculate the bending potential energy U in half of segment l0. 14 :

[0200]

[0201] = * *

[0202] =

[0203] 15. Torsional potential energy U in half of the segment 15 Calculation method:

[0204] 1) Cut The left half of the segment, including segments l2, l3, and l T Extract the 2 segments;

[0205] 2) with l T Establish a coordinate system with the left endpoint of segment / 2 as the origin, x 10 The axis points to the right, y 10 The axis is facing upwards, such as Figure 12 As shown;

[0206] Force at the end of the stabilizer bar Translate to The right endpoint of the segment, The segment generates a force And an additional couple, the force acting to make Bending potential energy is generated in half of the segment ( Segment bending potential energy + The bending potential energy in half of the segment), the effect of the couple makes 15。

[0207] 3) Calculate the torque T5 of the additional couple:

[0208] 3) Calculation Torsional potential energy U in half of the segment 15 :

[0209] U 15

[0210] Step 3:

[0211] Assuming force Under the action, the displacement of the end point of the lateral stabilizer bar is As the displacement at the end of the lateral stabilizer bar changes from 0 to... During the process, force The value also changed from 0 to Therefore, the work done in this process is

[0212] W=

[0213] In the formula, It is the linear stiffness of the lateral stabilizer bar.

[0214] Step Four:

[0215] According to the functional principle, force The work done is equal to the total deformation potential energy in the lateral stabilizer bar, that is:

[0216] + + + + + + + + + + + + + +

[0217] + + + + + + + + + + +

[0218] +

[0219] Step 5:

[0220] Rearranging the formula in step four, we get: Under force Under the action, the end displacement of the inwardly bending type lateral stabilizer bar The calculation formula is:

[0221] + + + + + + + + + + +

[0222] + .

[0223] In this embodiment, a piecewise analytical method is adopted for a symmetrical inwardly bending transverse stabilizer. The work done by the applied force is equal to the total deformation potential energy in the transverse stabilizer to calculate the endpoint displacement. The calculation method is easy to understand, the solution is simple, the calculation accuracy is higher, and the results are more accurate.

[0224] The above technical solutions are merely exemplary embodiments of the present invention. For those skilled in the art, based on the application methods and principles disclosed in the present invention, it is easy to make various types of improvements or modifications, and not limited to the methods described in the specific embodiments of the present invention. Therefore, the methods described above are merely preferred and not restrictive.

Claims

1. A method for calculating the end displacement of an inwardly bent lateral stabilizer bar, characterized in that, Includes the following steps: S1, assume that the two ends of the transverse stabilizer are subjected to equal and opposite forces. Based on the symmetry of the lateral stabilizer, the force is calculated. Under the action of the lateral stabilizer bar, the total deformation potential energy stored in half of the bar; S2, based on force Displacement at the stressed end of the lateral stabilizer bar under action Computational power The work done; S3, according to the work-energy principle, i.e., the force obtained in step S2. The work done is equal to the total deformation potential energy in the half of the transverse stabilizer obtained in step S1, resulting in a force. Displacement at the force-bending end of the inward-bending lateral stabilizer bar under action .

2. The method according to claim 1, characterized in that, In step S1, the total deformation potential energy in the transverse stabilizer is calculated segment by segment according to the straight segments that make up the transverse stabilizer. The straight segments that make up the lateral stabilizer bar include, in a continuous sequence, a terminal segment, several connected curved arm segments, and a straight arm segment in the middle; the terminal segment and the straight arm segment are perpendicular to each other, and the foot of the perpendicular is inside the straight arm segment. The straight boom section is divided into: segment l0 located between the centers of the two supports, segment l2 located between the center of the support and the same-side end point of the straight boom section, and segment l3 located between the projection point of the end point of the lateral stabilizer bar on the straight boom section and the same-side end point of the straight boom section. The total deformation potential energy in the half-lateral stabilizer bar includes: the bending potential energy of the terminal segment, and the bending potential energy plus torsional potential energy of each bend segment. The bending potential energy of the segment, The bending potential energy of the segment, The bending potential energy in half of the segment, and the torsional potential energy in half of the entire straight boom segment.

3. The method according to claim 2, characterized in that, In step S1, the calculation method for the potential energy of each segment includes: (1) Bending potential energy of the terminal segment : In the formula, ρ is the force acting on the end of the stabilizer bar; J is the moment of inertia of the cross section of the stabilizer bar; E is the elastic modulus of the material; l8 is the length of the terminal segment; (2) The bending potential energy of each bend arm segment is: In the formula, This is the length of the curved boom section; The distance from the end of the stabilizer bar to the nearest end of the bend arm segment; The direction of the additional couple vector generated by the translation of the force at the end of the stabilizer bar to the bend segment and the angle of the bend segment; The torsional potential energy is: In the formula, The shear modulus of elasticity of the material; Let be the polar moment of inertia of the cross section of the lateral stabilizer bar; (3) The bending potential energy of the segment is: In the formula, The distance between the projection point of the lateral stabilizer bar endpoint onto the straight boom section and the same-side endpoint of the straight boom section; (4) The bending potential energy of the segment is: In the formula, l2 is the distance between the center of the support and the end point on the same side of the straight arm segment; (5) The bending potential energy in half of the segment is: In the formula, l0 is the center distance of the lateral stabilizer bar support; (6) The torsional potential energy in half of the straight boom section is In the formula, l T is the length of the straight arm section of the stabilizer bar, and l is the vertical distance from the end point of the stabilizer bar to the straight arm section of the stabilizer bar.

4. The method according to claim 2, characterized in that, In step S2, the displacement of the end point of the lateral stabilizer bar changes from 0 to... During the process, force The work done W= In the formula, This represents the linear stiffness of the lateral stabilizer bar.

5. The method according to claim 4, characterized in that, Step S3 specifically includes: According to the functional principle, we can conclude that: = Bending potential energy of the final segment + Bending potential energy of each bend arm segment + Torsional potential energy of each bend arm segment + Bending potential energy of the segment + Bending potential energy of the segment + The bending potential energy in half of the segment + the torsional potential energy in half of the straight arm segment After rearranging the terms, we get the force. Displacement of the end point of the inward bending type lateral stabilizer bar under action The calculation formula.