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

Abstract

A method for calculating endpoint displacement of an outward bending type transverse stabilizer bar belongs to the technical field of vehicle suspension design, and mainly comprises the following steps: carrying out structural segmentation on the outward bending type transverse stabilizer bar, and correspondingly determining deformation potential energy of each segment when the endpoint of the transverse stabilizer bar is stressed; calculating each deformation potential energy and obtaining the total deformation potential energy by utilizing an analysis result of material mechanics; and based on a functional principle, namely a principle that the work of the acting force on the end point of the transverse stabilizer bar is equal to the total deformation potential energy of the transverse stabilizer bar, the displacement generated by the end point of the transverse stabilizer bar is obtained. According to the method, for the outward bending type transverse stabilizer bar, a segmented analysis method is adopted, the theory that the work done by the acting force is equal to the total deformation potential energy in the transverse stabilizer bar is utilized, the end point displacement is calculated, the calculation precision is higher, the method can be used for accurate theoretical calculation of the rigidity of the stabilizer bar, and the precision of axle design analysis is improved.

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 outwardly curved lateral stabilizer bar. Background Technology

[0002] Due to vehicle layout considerations, the stabilizer bar in a suspension system is often designed with a complex shape. To simplify calculations, the stabilizer bar is typically approximated as an equal-arm trapezoid during theoretical analysis. The formula for calculating the stabilizer bar of this shape allows for easy calculation of the displacement at the stabilizer bar's endpoints during vehicle roll. However, for complex, outwardly curved stabilizer bars, using the standard formula for equal-arm trapezoidal stabilizer bars significantly reduces calculation accuracy, affecting the stabilizer bar stiffness calculation and potentially leading to design flaws. Summary of the Invention

[0003] To improve the theoretical calculation accuracy of lateral stabilizer stiffness, this disclosure provides a method for calculating the endpoint displacement of a symmetrical outward-bending lateral stabilizer. Based on mechanics of materials and theoretical mechanics, the method uses piecewise analysis to accurately calculate the endpoint displacement of this type of lateral stabilizer, providing a reliable theoretical basis for lateral stabilizer stiffness calculation and improving the accuracy of axle design analysis.

[0004] The method for calculating the end displacement of an outwardly bending lateral stabilizer bar provided in this disclosure mainly includes the following steps:

[0005] S1, the outwardly curved lateral stabilizer bar is divided into the following sequentially connected segments: terminal segment, outwardly extending curved arm segment, and straight arm segment; wherein, the straight arm segment includes: an intermediate segment located between the two supports of the lateral stabilizer bar and corresponding to the center distance between the supports of the lateral stabilizer bar, and a transition segment located between the intermediate segment and the curved arm segment.

[0006] S2. Based on the symmetry of the lateral stabilizer bar, according to the segmentation in step S1, the deformation potential energy of half of the lateral stabilizer bar when the vehicle body rolls and one end of the lateral stabilizer bar is subjected to force is divided into: the bending potential energy of the terminal segment, the bending potential energy + torsional potential energy of the curved arm segment, the bending potential energy of the transition segment, the bending potential energy of half of the middle segment, and the torsional potential energy of half of the entire straight arm segment.

[0007] S3. Using the analysis results of mechanics of materials, construct the calculation model of each deformation potential energy in step S2;

[0008] S4, based on the sum of the deformation potential energies, obtain the total deformation potential energy;

[0009] S5, based on the functional principle, that is, the force on the end of the lateral stabilizer bar. Based on the principle that the work done is equal to the total deformation potential energy of the lateral stabilizer, we can deduce the stress at the endpoints of the lateral stabilizer. Displacement generated under action .

[0010] Furthermore, in step S3, the method for calculating the bending potential energy of the terminal segment includes:

[0011] The terminal segment is extracted separately, and the force at the end of the lateral stabilizer bar is used as the reference. The point of action is the origin of the terminal coordinate system. The terminal segment coordinate system is established with the x1 axis along the terminal end and pointing to the right, and the y1 axis pointing upward.

[0012] Use the section method to cut out section x1 in the final segment;

[0013] Calculate the bending moment M(x1) at section x1: M(x1) = ;

[0014] In the formula, x1 represents the distance of the cross section relative to the origin of the coordinate system;

[0015] Calculate the bending potential energy u1 of the final segment:

[0016]

[0017] In the formula, denoted as , where J is the length of the terminal segment; J is the moment of inertia of the transverse stabilizer bar; and E is the elastic modulus of the material.

[0018] Furthermore, in step S3, the method for calculating the bending potential energy of the curved arm segment includes:

[0019] Extract the curved boom segment separately, select the left end point of the curved boom segment as the origin of the coordinate system, establish the curved boom segment coordinate system, with the x2 axis along the curved boom segment and pointing to the right of the curved boom segment, and the y2 axis pointing to the top of the curved boom segment.

[0020] The force acting on the end of the lateral stabilizer bar Translate to the origin of the coordinate system of the curved boom segment, where a force is applied. and a couple ,in = ;

[0021] (1) The couple Orthogonally decomposed into torque Mx0 and bending moment M according to the coordinate axes y0 :

[0022]

[0023]

[0024] In the formula, For couple The angle between the x2 axis and the x2 axis;

[0025] (2) Use the section method to cut the x2 section in the bent arm segment;

[0026] (3) Calculate the bending moment M(x2) at section x2:

[0027] ;

[0028] (4) Calculate the bending potential energy u2 of the curved arm segment:

[0029]

[0030] In the formula, This refers to the length of the curved boom section.

[0031] Furthermore, in step S3, the method for calculating the torsional potential energy of the boom segment includes:

[0032] 1) Calculate the torque T of the boom section:

[0033]

[0034] 2) Calculate the torsional potential energy u3 of the boom section:

[0035]

[0036] 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.

[0037] J p G is the polar moment of inertia of the cross section of the lateral stabilizer; G is the shear modulus of the material.

[0038] Furthermore, in step S3, the method for calculating the bending potential energy of the transition section includes:

[0039] The transition section is extracted separately, and the terminal section and the bend arm section are projected in the direction of the transition section.

[0040] Select the left endpoint of the transition segment as the origin of the coordinate system, and establish the transition segment coordinate system with the x3 axis pointing to the right and the y3 axis pointing upwards.

[0041] Force at the end of the stabilizer bar The projection segment is translated to the left end of the curved arm segment, at which point the projection segment generates a force. and an additional couple The force causes the transition section to generate bending potential energy u4, and the couple causes half of the straight arm section to generate torsional potential energy u6.

[0042] Use the section method to cut section x3 in the transition section;

[0043] Calculate the bending moment M(x3) at section x3:

[0044] ;

[0045] In the formula, l3 is the length of the projected segment;

[0046] Calculate the bending potential energy u4 of the transition section:

[0047]

[0048] In the formula, This represents the length of the transition section.

[0049] Furthermore, in step S3, the method for calculating the bending potential energy in half of the intermediate segment includes:

[0050] Project the terminal segment and the curved arm segment onto the middle segment direction to obtain the projection segment l3. Extract the projection segment, the transition segment, and the left half of the middle segment.

[0051] Establish a coordinate system with the right end of the left half of the middle section as the origin, with the x4 axis pointing to the left along the middle section and the y4 axis pointing upwards;

[0052] Force at the end of the stabilizer bar When translated to the left end of the projection segment, the projection segment generates a force. An additional couple is added. The force causes bending potential energy u5 at the middle half of the segment, and the couple causes torsional potential energy u6 at the middle half of the straight arm segment.

[0053] The bending moment M(x4) at section x4, located halfway down the middle section, is:

[0054]

[0055] In the formula, l3, , These are the lengths of the projection segment, transition segment, and intermediate segment, respectively.

[0056] The bending potential energy u5 generated in half of the middle section is:

[0057] .

[0058] Furthermore, in step S3, the method for calculating the torsional potential energy of half of the entire straight boom segment includes:

[0059] Cut off the left half of the straight boom segment, project the terminal segment and the curved boom segment onto the left half of the straight boom segment, and extract the projected segment and the left half of the straight boom segment.

[0060] Establish a coordinate system with the left end point of the left half of the straight arm segment as the origin, with the x5 axis pointing to the right along the straight arm segment and the y5 axis pointing upwards;

[0061] Force at the end of the stabilizer bar When translated to the left end of the projection segment, the projection segment generates a force. and an additional couple The force causes bending potential energy to be generated in half of the straight arm segment, which is the bending potential energy of the transition segment plus the bending potential energy in half of the middle segment. The force couple causes torsional potential energy u6 to be generated in half of the straight arm segment.

[0062] Calculate the torque T of the additional couple:

[0063]

[0064] In the formula, This is the vertical distance between the point of action at the end of the stabilizer bar and the center of the support.

[0065] Calculate the torsional potential energy u6 in half of the straight boom segment:

[0066]

[0067] In the formula, This refers to the length of the straight boom segment.

[0068] Furthermore, step S5 specifically includes:

[0069] (1) Assume that the force Under the action, the displacement of the end point of the lateral stabilizer bar is When 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 The work done in this process is

[0070]

[0071] In the formula, The linear stiffness of the lateral stabilizer bar;

[0072] (2) According to the principle of function, force The work done is equal to the total deformation potential energy in the lateral stabilizer bar, that is, ;

[0073] (3) According to the above formula, under the known force Under the action, the displacement of the end point of the outward bending type lateral stabilizer bar for:

[0074] .

[0075] Compared with the prior art, the beneficial effects of this disclosure are: ① The end displacement of the outwardly bent lateral stabilizer 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.

[0076] ② The piecewise analytical method is adopted, and the work done by the force is equal to the total deformation potential energy in the transverse stabilizer bar to calculate the displacement of the endpoints. Compared with the derivation method based on the isolation and tempering treatment of basic bending and torsional deformation, the calculation method is easier to understand and the solution is simpler. Attached Figure Description

[0077] 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.

[0078] Figure 1 Here is a flowchart for calculating the end displacement of the lateral stabilizer bar according to this disclosure;

[0079] Figure 2 A simplified diagram of an outwardly bent lateral stabilizer bar structure;

[0080] Figure 3 The force analysis diagram for segment l4 is shown below.

[0081] Figure 4 The force analysis diagram for segment l1 is shown below.

[0082] Figure 5 The force analysis diagram for segment l2 is shown below.

[0083] Figure 6 The force analysis diagram is for the left half of l0;

[0084] Figure 7 For l T Force analysis diagram of the left half of the segment. Detailed Implementation

[0085] 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.

[0086] This disclosure provides a method for calculating the endpoint displacement of an outwardly bending lateral stabilizer. For symmetrical outwardly bending lateral stabilizers, a piecewise analytical method is employed. Utilizing the theory that the work done by the applied force is equal to the total deformation potential energy in the lateral stabilizer, the endpoint displacement is calculated. The calculation method is easy to understand, simple to solve, and yields higher accuracy and more precise results. The overall process is attached. Figure 1 As shown.

[0087] In one exemplary embodiment, a simplified diagram of an outwardly bent lateral stabilizer bar structure is attached. Figure 2 As shown.

[0088] Assume that when the vehicle body rolls, a force is applied to one end of the stabilizer bar. At its other end, an equal and opposite force acts. Under the action, the lateral stabilizer bar will undergo elastic deformation, and the ends will be displaced. In this embodiment, using The displacement is calculated based on the principle that the work done is equal to the total deformation potential energy in the lateral stabilizer bar. .

[0089] The specific steps are as follows:

[0090] Step 1: Segmentation

[0091] Figure 2 The outwardly curved lateral stabilizer bar shown consists of three sequentially connected straight sections, including: straight arm section l T The segment includes the outwardly extending curved boom segment l1 and the terminal segment l4 perpendicular to the straight boom segment; wherein, the straight boom segment l1 is divided into sections with the center of the lateral stabilizer bar support as the boundary. T The segment is further divided into: the middle segment l0 located between the two supports of the lateral stabilizer bar and corresponding to the center distance of the lateral stabilizer bar supports, and the transition segment l2 located at both ends of the straight boom segment and connected to the curved boom segment.

[0092] Correspondingly, based on the symmetry of the lateral stabilizer bar, the deformation potential energy of the half of the lateral stabilizer bar is divided into the following 6 items: bending potential energy u1 of segment l4, bending potential energy u2 + torsional potential energy u3 of segment l1, bending potential energy u4 of segment l2, bending potential energy u5 of half of segment l0, and so on. T The torsional potential energy u6 in half of the segment.

[0093] Step 2: Using the analysis results from mechanics of materials, explain the calculation method of the above potential energy in sections.

[0094] 1. Calculation method for the bending potential energy u1 of segment l4:

[0095] 1) Extract segment l4 separately and obtain the force F acting on the end of the lateral stabilizer bar.h ;

[0096] 2) Establish a coordinate system for segment l4, with the point where the force acts at the end of the lateral stabilizer bar as the origin of l4. The x1 axis points to the right, and the y1 axis points upward, as follows: Figure 3 As shown;

[0097] 3) Use the section method to cut section x1 from segment l4;

[0098] 4) Calculate the bending moment M(x1) at section x1:

[0099] M(x1)=F h *x1;

[0100] 5) Calculate the bending potential energy u1 of segment l4:

[0101]

[0102] 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.

[0103] 2. The calculation method for the bending potential energy u2 of the segment:

[0104] 1) Extract segment l1 separately, select the left endpoint of segment l1 as the origin, and establish a coordinate system for segment l1. The x2 axis points to the right of segment l1, and the y2 axis points to the top of segment l1, as follows: Figure 4 As shown;

[0105] 2) The force F acting on the end of the lateral stabilizer bar h Translate to the origin of segment l1. A force acts on the segment and a couple As shown in the figure.

[0106] 3) Calculate the couple :

[0107] = Decompose it orthogonally along the coordinate axes into torque M x0 and bending moment M y0 :

[0108]

[0109]

[0110] 4) Use the section method to cut section x2 in segment l1;

[0111] 5) Calculate the bending moment M(x2) at section x2:

[0112] M(x2)=Fh *x2+M y0 ;

[0113] 6) Calculate the bending potential energy u2 of segment l1:

[0114] =

[0115] =

[0116] 3. The calculation method for the torsional potential energy u3 of the segment:

[0117] 1) Calculate the torque T of segment l1:

[0118] T=M x0 =

[0119] 2) Calculate the torsional potential energy u3 of segment l1:

[0120] =

[0121] 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.

[0122] Jp is the polar moment of inertia of the cross section of the lateral stabilizer; G is the shear modulus of the material.

[0123] 4. The calculation method for the bending potential energy u4 of the segment:

[0124] 1) Extract segment l2 separately, and project segments l4 and l1 onto the l2 direction to obtain the projected segment l3;

[0125] 2) Select the left endpoint of segment l2 as the origin, establish a coordinate system for segment l2, with the x3 axis pointing to the right and the y3 axis pointing upwards, as follows: Figure 5 As shown;

[0126] 3) Apply force to the end of the stabilizer bar Translate to projection segment The left endpoint of the segment, The segment generates a force And an additional couple, the force acting to make The segment generates bending potential energy u4, and the action of the couple causes l T Torsional potential energy u6 is generated in half of the segment (this part will be discussed later).

[0127] 4) Use the section method to cut section x3 in segment l2;

[0128] 5) Calculate the bending moment M(x3) at section x3:

[0129] M(x3) = F h *(l3+x3);

[0130] 6) Calculation The bending potential energy u4 of the segment:

[0131]

[0132]

[0133] 5. The method for calculating the bending potential energy u5 in half of the segment:

[0134] 1) Project segments l4 and l1 onto the l2 direction to obtain projection segment l3. Extract the left half of projection segments l3, l2, and l0.

[0135] 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 6 As shown;

[0136] 3) Apply force to the end of the stabilizer bar Translate to projection segment The left endpoint of the segment, The segment generates a force An additional couple, the force causes bending potential energy u5 to be generated in half of segment l0, the couple causes l T Torsional potential energy u6 is generated in half of the segment (this part will be discussed later).

[0137] 4) For the projection segment Draw bending moment diagrams for segment l1, segment l2, and segment l0 / 2;

[0138] 5) Calculate the bending moment M(x4) at section x4 in segment l0 / 2 based on the bending moment diagram on the right:

[0139]

[0140] 6) Calculate the bending potential energy u5 in half of segment l0:

[0141]

[0142] = * *

[0143] =

[0144] 6. The method for calculating the torsional potential energy u6 in half of the segment:

[0145] 1) Cut The left half of the segment, connecting segments l4 and l1 at l T Projecting along the left half of the segment, we obtain projection segment l3. Then, we divide projection segment l3 and l... T Extract the 2 segments;

[0146] 2) with l T Establish a coordinate system with the left endpoint of segment / 2 as the origin, with the x5 axis pointing to the right and the y5 axis pointing upwards, as follows: Figure 7 As shown;

[0147] Force at the end of the stabilizer bar Translate to projection segment The left endpoint of the segment, the projection 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 (as described earlier). Segment bending potential energy + The bending potential energy in half of the segment), the effect of the couple makes Torsional potential energy u6 is generated in half of the segment.

[0148] 3) Calculate the torque T of the additional couple:

[0149] T

[0150] 4) Calculation Torsional potential energy u6 in half of the segment:

[0151]

[0152] Step 3:

[0153] Assuming force Under the action, the displacement of the force-bearing end of the half 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

[0154] W =

[0155] In the formula, It is the linear stiffness of the lateral stabilizer bar.

[0156] Step Four:

[0157] According to the principle of energy, the force at one end point is... The work done is equal to the total deformation potential energy in half of the lateral stabilizer bar. Adding the deformation potential energies calculated in step two gives the total deformation potential energy. Therefore:

[0158]

[0159] + + + +

[0160] Step 5:

[0161] Rearranging the formula in step four, we get: Given the force... Under the action, the displacement of the end point of the outward bending type lateral stabilizer bar The calculation formula is:

[0162]

[0163] In this embodiment, for the outwardly bending type lateral stabilizer bar, a piecewise analytical method is adopted. The work done by the applied force is equal to the total deformation potential energy in the lateral stabilizer bar to calculate the endpoint displacement. The calculation accuracy is higher and the results are more accurate. This method can be used for the precise theoretical calculation of stabilizer bar stiffness, providing a reliable theoretical basis for the calculation of lateral stabilizer bar stiffness and improving the accuracy of vehicle axle design analysis.

[0164] 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 outwardly bending lateral stabilizer bar, characterized in that, Includes the following steps: S1, the outwardly curved lateral stabilizer bar is divided into sequentially connected straight segments, including: a terminal segment, an outwardly extending curved arm segment, and a straight arm segment; wherein, the straight arm segment is divided into: an intermediate segment located between the two supports of the lateral stabilizer bar and corresponding to the center distance between the supports of the lateral stabilizer bar, and a transition segment located between the intermediate segment and the curved arm segment, with the center of the lateral stabilizer bar support as the boundary. S2. Based on the symmetry of the lateral stabilizer bar, according to the segmentation in step S1, the deformation potential energy of half of the lateral stabilizer bar when the vehicle body rolls and one end of the lateral stabilizer bar is subjected to force is divided into: the bending potential energy of the terminal segment, the bending potential energy + torsional potential energy of the curved arm segment, the bending potential energy of the transition segment, the bending potential energy of half of the middle segment, and the torsional potential energy of half of the entire straight arm segment. S3. Using the analysis results of mechanics of materials, construct the calculation model of each deformation potential energy in step S2; S4, based on the sum of the deformation potential energies, obtain the total deformation potential energy; S5, based on the functional principle, that is, the force on the end of the lateral stabilizer bar. Based on the principle that the work done is equal to the total deformation potential energy of the lateral stabilizer, we can deduce the stress at the endpoints of the lateral stabilizer. Displacement generated under action .

2. The method according to claim 1, characterized in that, In step S3, the method for calculating the bending potential energy of the terminal segment includes: The terminal segment is extracted separately, and the force at the end of the lateral stabilizer bar is used as the reference. The point of action is the origin of the terminal coordinate system. The terminal segment coordinate system is established with the x1 axis along the terminal end and pointing to the right, and the y1 axis pointing upward. Use the section method to cut out section x1 in the final segment; Calculate the bending moment M(x1) at section x1: M(x1) = ; In the formula, x1 represents the distance of the cross section relative to the origin of the coordinate system; Calculate the bending potential energy u1 of the final segment: ， In the formula, denoted as , where J is the length of the terminal segment; J is the moment of inertia of the transverse stabilizer bar; and E is the elastic modulus of the material.

3. The method according to claim 2, characterized in that, In step S3, the method for calculating the bending potential energy of the curved arm segment includes: Extract the curved boom segment separately, select the left end point of the curved boom segment as the origin of the coordinate system, establish the curved boom segment coordinate system, with the x2 axis along the curved boom segment and pointing to the right of the curved boom segment, and the y2 axis pointing to the top of the curved boom segment. The force acting on the end of the lateral stabilizer bar Translate to the origin of the coordinate system of the curved boom segment, where a force is applied. and a couple ,in = ; (1) The couple Orthogonally decomposed into torque Mx0 and bending moment M according to the coordinate axes y0 : ； ； In the formula, For couple The angle between the x2 axis and the x2 axis; (2) Use the section method to cut the x2 section in the bent arm segment; (3) Calculate the bending moment M(x2) at section x2: ； (4) Calculate the bending potential energy u2 of the curved arm segment: ， In the formula, This refers to the length of the curved boom section.

4. The method according to claim 3, characterized in that, In step S3, the method for calculating the torsional potential energy of the boom segment includes: 1) Calculate the torque T of the boom section: ， 2) Calculate the torsional potential energy u3 of the boom section: ， 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. J p G is the polar moment of inertia of the cross section of the lateral stabilizer; G is the shear modulus of the material.

5. The method according to claim 3, characterized in that, In step S3, the method for calculating the bending potential energy of the transition section includes: The transition section is extracted separately, and the terminal section and the bend arm section are projected in the direction of the transition section. Select the left endpoint of the transition segment as the origin of the coordinate system, and establish the transition segment coordinate system with the x3 axis pointing to the right and the y3 axis pointing upwards. Force at the end of the stabilizer bar The projection segment is translated to the left end of the curved arm segment, at which point the projection segment generates a force. and an additional couple The force causes the transition section to generate bending potential energy u4, and the couple causes half of the straight arm section to generate torsional potential energy u6. Use the section method to cut section x3 in the transition section; Calculate the bending moment M(x3) at section x3: ； In the formula, l3 is the length of the projected segment; Calculate the bending potential energy u4 of the transition section: ， In the formula, This represents the length of the transition section.

6. The method according to claim 3, characterized in that, In step S3, the method for calculating the bending potential energy in half of the intermediate segment includes: Project the terminal segment and the curved arm segment onto the middle segment direction to obtain the projection segment l3. Extract the projection segment, the transition segment, and the left half of the middle segment. Establish a coordinate system with the right end of the left half of the middle section as the origin, with the x4 axis pointing to the left along the middle section and the y4 axis pointing upwards; Force at the end of the stabilizer bar When translated to the left end of the projection segment, the projection segment generates a force. An additional couple is added. The force causes bending potential energy u5 at the middle half of the segment, and the couple causes torsional potential energy u6 at the middle half of the straight arm segment. The bending moment M(x4) at section x4, located halfway down the middle section, is: ， In the formula, l3, , These are the lengths of the projection segment, transition segment, and intermediate segment, respectively. The bending potential energy u5 generated in half of the middle section is: 。 7. The method according to claim 5 or 6, characterized in that, In step S3, the method for calculating the torsional potential energy of half of the entire straight boom segment includes: Cut off the left half of the straight boom segment, project the terminal segment and the curved boom segment onto the left half of the straight boom segment, and extract the projected segment and the left half of the straight boom segment. Establish a coordinate system with the left end point of the left half of the straight arm segment as the origin, with the x5 axis pointing to the right along the straight arm segment and the y5 axis pointing upwards; Force at the end of the stabilizer bar When translated to the left end of the projection segment, the projection segment generates a force. and an additional couple The force causes bending potential energy to be generated in half of the straight arm segment, which is the bending potential energy of the transition segment plus the bending potential energy in half of the middle segment. The force couple causes torsional potential energy u6 to be generated in half of the straight arm segment. Calculate the torque T of the additional couple: ， In the formula, This is the vertical distance between the point of action at the end of the stabilizer bar and the center of the support. Calculate the torsional potential energy u6 in half of the straight boom segment: ， In the formula, This refers to the length of the straight boom segment.

8. The method according to claim 3, characterized in that, Step S5 specifically includes: (1) Assume that the force Under the action, the displacement of the end point of the lateral stabilizer bar is When 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 The work done in this process is ， In the formula, The linear stiffness of the lateral stabilizer bar; (2) According to the principle of function, force The work done is equal to the total deformation potential energy in the lateral stabilizer bar, that is, ; (3) According to the above formula, under the known force Under the action, the displacement of the end point of the outward bending type lateral stabilizer bar for: 。

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