CN-121980786-A - Outward bending type transverse stabilizer bar end displacement calculation method

CN121980786ACN 121980786 ACN121980786 ACN 121980786ACN-121980786-A

Abstract

A calculation method for the displacement of the rod end position of an outwards bent transverse stabilizer rod belongs to the technical field of vehicle suspension design and mainly comprises the steps of structurally segmenting the outwards bent transverse stabilizer rod, correspondingly determining deformation potential energy of each segment when the end point of the transverse stabilizer rod is stressed, calculating each deformation potential energy by using an analysis result of material mechanics to obtain the total deformation potential energy, and obtaining the displacement generated by the end point of the transverse stabilizer rod based on the functional principle that the acting force applied by the end point of the transverse stabilizer rod is equal to the total deformation potential energy of the transverse stabilizer rod. According to the method, for the outwards bent transverse stabilizer bar, a segmentation analysis method is adopted, the principle that the work done by acting force is equal to the total deformation potential energy in the transverse stabilizer bar is utilized, the displacement of the end point is calculated, the calculation accuracy is higher, the method can be used for the accurate theoretical calculation of the rigidity of the stabilizer bar, and the accuracy of axle design analysis is improved.

Inventors

ZHANG YAXIN
WANG MINGMING
LU GUOWEI
LI CUILIAN

Assignees

吉客传动科技(苏州)有限公司

Dates

Publication Date: 20260505
Application Date: 20260121

Claims (8)

1. The method for calculating the displacement of the outward bending type transverse stabilizer bar end is characterized by comprising the following steps of: S1, dividing an outwards bent type stabilizer bar into sequentially connected straight-line segments, wherein the straight-line segments comprise a final segment, an outwards extending bent arm segment and a straight arm segment, and the straight arm segment is divided into an intermediate segment which is positioned between two stabilizer bar supports and corresponds to the center distance of the stabilizer bar supports and a transition segment which is positioned between the intermediate segment and the bent arm segment by taking the center of the stabilizer bar support as a boundary; S2, dividing deformation potential energy of a half side of the transverse stabilizer bar when one end of the transverse stabilizer bar is stressed due to the rolling of a vehicle body into bending potential energy of a final section, bending potential energy+torsion potential energy of a bent arm section, bending potential energy of a transition section, bending potential energy of a half of a middle section and torsion potential energy of a half of the whole straight arm section according to the segmentation of the step S1; S3, constructing a calculation model of each deformation potential energy in the step S2 by using an analysis result of material mechanics; S4, obtaining total deformation potential energy based on the sum of the deformation potential energy; s5, based on the functional principle, namely acting force applied to the end point of the transverse stabilizer bar The principle that the work is equal to the total deformation potential energy of the transverse stabilizer bar can obtain the end point force of the transverse stabilizer bar Displacement under action 。
2. The method according to claim 1, wherein in the step S3, the calculation method of the bending potential energy of the final segment includes: the final segments are extracted independently to stabilize the rod end point acting force transversely The point of action is the origin of coordinates of the terminal, a terminal coordinate system is established, and the x 1 axis is directed to the right along the terminal and the y 1 axis is directed upwards; a section method is used for cutting the section x 1 in the final section; Calculate bending moment M (x 1 )：M(x 1 ) of x 1 section = ; Wherein x 1 represents the distance of the cross section from the origin of coordinates; Calculating bending potential u 1 of the final segment: , In the formula, The length of the final section is J is the section moment of inertia of the transverse stabilizer bar, and E is the elastic modulus of the material.
3. The method according to claim 2, wherein in the step S3, the calculation method of the bending potential energy of the bent arm segment includes: The bent arm section is extracted independently, the left end point of the bent arm section is selected as a coordinate origin, a bent arm section coordinate system is established, the x 2 axis faces the right side of the bent arm section along the bent arm section, and the y 2 axis faces the upper side of the bent arm section; forces to be applied to the end point of the stabilizer bar Translating to the origin of coordinates of the bent arm segment, the bent arm segment exerting a force And a couple Wherein = ; (1) Couple force Orthogonal decomposition into coordinate axes torque Mx 0 and bending moment M y0 : ; ; In the formula, Is a couple of forces An included angle with the x 2 axis; (2) The x 2 section in the bent arm section is cut by a section method; (3) Calculate bending moment M (x 2 ) for the x 2 section: ; (4) Calculating bending potential u 2 of the bent arm section: , In the formula, Is the length of the bent arm segment.
4. A method according to claim 3, wherein in the step S3, the method for calculating the torsion potential of the bent arm segment includes: 1) Calculating torque T of the bent arm segment: , 2) Calculating torsion potential u 3 of the bent arm segment: , Wherein J is the section moment of inertia of the transverse stabilizer bar, E is the elastic modulus of the material; j p is the polar moment of inertia of the cross section of the transverse stabilizer bar, and G is the shear elastic modulus of the material.
5. A method according to claim 3, wherein in the step S3, the method for calculating the bending potential energy of the transition section includes: Independently extracting the transition section, and projecting the final section and the bent arm section in the direction of the transition section; Selecting the left end point of the transition section as the origin of coordinates, establishing a coordinate system of the transition section, wherein the x 3 axis faces to the right and the y 3 axis faces upwards; Force at the end point of the stabilizer bar Translating to the left end of the projection of the bent arm section, said projection generating a force And an additional couple The action of force causes the transition section to generate bending potential u 4 , and the action of force couple causes half of the straight arm section to generate torsion potential u 6 ; the section x 3 in the transition section is cut by a section method; Calculate bending moment M (x 3 ) for the x 3 section: ; Wherein l 3 is the length of the projection section; Calculating the bending potential u 4 of the transition section: , In the formula, Is the length of the transition section.
6. A method according to claim 3, wherein in the step S3, the calculation method of the bending potential energy in the half of the intermediate section includes: projecting the final section and the bent arm section in the direction of the middle section to obtain a projection section l 3 , and extracting the left half sections of the projection section, the transition section and the middle section; the right end point of the left half section of the middle section is taken as the origin of coordinates, a coordinate system is established, and the x 4 axis faces left along the middle section and the y 4 axis faces upwards; Force at the end point of the stabilizer bar Translated to the left end point of the projection section, and the projection section generates a force And an additional couple of forces acting to create a bending potential u 5 at half of the middle section and a twisting potential u 6 at half of the straight arm section; The bending moment M (x 4 ) of the x 4 section at half of the middle section is: , wherein l 3 , 、 The lengths of the projection section, the transition section and the middle section are respectively; the bending potential u 5 generated in the middle half is: 。
7. the method according to claim 5 or 6, wherein in the step S3, the method for calculating the torsional potential of half of the entire straight arm segment includes: cutting the left half section of the straight arm section, projecting the final section and the bent arm section in the left half section direction of the straight arm section, and extracting the projection section and the left half section of the straight arm section; The left end point of the left half section of the straight arm section is taken as a coordinate origin, a coordinate system is established, the x 5 axis faces to the right along the straight arm section, and the y 5 axis faces upwards; Force at the end point of the stabilizer bar Translated to the left end point of the projection section, and the projection section generates a force And an additional couple The action of force causes bending potential energy to be generated in the straight arm half, namely bending potential energy of the transition section+bending potential energy in the middle section half, and the action of force couple causes torsion potential energy u 6 to be generated in the straight arm half; Calculating the torque T of the additional couple: , In the formula, Is the vertical distance between the end acting point of the stabilizer bar and the central connecting line of the support; Calculating torsion potential u 6 in half of the straight arm segment: , In the formula, Is the length of the straight arm segment.
8. A method according to claim 3, wherein said step S5 specifically comprises: (1) Is arranged at the force Under the action, the displacement of the end point of the transverse stabilizer bar is At the end point of the stabilizer bar, the displacement is changed from 0 to In the course of (a) force The value of (2) also varies from 0 to The work performed in this process is , In the formula, The linear rigidity of the transverse stabilizer bar; (2) From the functional principle, the force The work done is equal to the total deformation potential energy in the stabilizer bar, i.e., ; (3) Obtained according to the above formula, at a known force Under the action, the rod end displacement of the outwards bent transverse stabilizer rod is displaced The method comprises the following steps: 。

Description

Outward bending type transverse stabilizer bar end displacement calculation method Technical Field The invention relates to the technical field of vehicle suspension design, in particular to an outward bending type transverse stabilizer bar end displacement calculation method. Background For reasons of vehicle arrangement, the stabilizer bar of the suspension system is often made into a relatively complex shape, and in order to simplify calculation, when theoretical analysis is carried out on the stabilizer bar, the stabilizer bar is generally approximately considered to be an equal-arm trapezoid, and displacement of an end point of the stabilizer bar when a vehicle body is inclined can be conveniently calculated by means of an equal-arm trapezoid stabilizer bar calculation formula. However, for a complex outwards-bent transverse stabilizer bar, if a standard equal-arm trapezoidal stabilizer bar formula is still adopted for calculation, the calculation accuracy can be greatly reduced, so that the calculation result of the rigidity of the stabilizer bar is influenced, and design defects are easily caused. Disclosure of Invention In order to improve the theoretical calculation accuracy of the rigidity of the transverse stabilizer bar, the invention provides a calculation method of the end point displacement of the symmetrical outward bending transverse stabilizer bar, which is based on a material mechanics and theoretical mechanics method, and the end point displacement of the transverse stabilizer bar is accurately calculated through sectional analysis, so that a reliable theoretical basis is provided for the rigidity calculation of the transverse stabilizer bar, and the accuracy of axle design analysis is improved. The method for calculating the displacement of the outwards bent transverse stabilizer bar end, provided by the disclosure, mainly comprises the following steps: S1, dividing an outwards bent type transverse stabilizer bar into a final section, an outwards extended bent arm section and a straight arm section which are sequentially connected, wherein the straight arm section comprises a middle section and a transition section, the middle section is positioned between two supports of the transverse stabilizer bar and corresponds to the center distance of the supports of the transverse stabilizer bar, and the transition section is positioned between the middle section and the bent arm section; S2, dividing deformation potential energy of a half side of the transverse stabilizer bar when one end of the transverse stabilizer bar is stressed due to the rolling of a vehicle body into bending potential energy of a final section, bending potential energy+torsion potential energy of a bent arm section, bending potential energy of a transition section, bending potential energy of a half of a middle section and torsion potential energy of a half of the whole straight arm section according to the segmentation of the step S1; S3, constructing a calculation model of each deformation potential energy in the step S2 by using an analysis result of material mechanics; S4, obtaining total deformation potential energy based on the sum of the deformation potential energy; s5, based on the functional principle, namely acting force applied to the end point of the transverse stabilizer bar The principle that the work is equal to the total deformation potential energy of the transverse stabilizer bar can obtain the end point force of the transverse stabilizer barDisplacement under action。 Further, in the step S3, the method for calculating the bending potential energy of the final segment includes: the final segments are extracted independently to stabilize the rod end point acting force transversely The point of action is the origin of coordinates of the terminal, a terminal coordinate system is established, and the x 1 axis is directed to the right along the terminal and the y 1 axis is directed upwards; a section method is used for cutting the section x 1 in the final section; Calculate bending moment M (x 1)：M(x1) of x 1 section = ; Wherein x 1 represents the distance of the cross section from the origin of coordinates; Calculating bending potential u 1 of the final segment: In the formula, The length of the final section is J is the section moment of inertia of the transverse stabilizer bar, and E is the elastic modulus of the material. Further, in the step S3, the method for calculating the bending potential energy of the bending arm segment includes: The bent arm section is extracted independently, the left end point of the bent arm section is selected as a coordinate origin, a bent arm section coordinate system is established, the x 2 axis faces the right side of the bent arm section along the bent arm section, and the y 2 axis faces the upper side of the bent arm section; forces to be applied to the end point of the stabilizer bar Translating to the origin of coordinates of the bent arm segment, the bent arm segm