Method for calculating rigidity of shell of silicone oil torsion damper

Abstract

The invention discloses a method for calculating the rigidity of a silicone oil torsion damper shell, which comprises the following specific steps of: S1, assuming that a fluid with viscosity is filled between the damper shell and a damper inertia ring, and rotating at a constant relative angular speed, and according to the Newton's viscosity law, the viscosity shear stress at the radius of the damper shell is as follows: S1, calculating the rigidity of the damper shell; obtaining a viscous shear stress formula of the five areas; s2, when the shock absorber works, torque diagrams of the five areas of the shell can be drawn according to viscous shear stress formulas of the five areas, and the maximum torsion amplitude of the upper left corner of the shell of the shock absorber can be known by deducing torque values from an outer ring (5) to an annular right side wall (4) to an annular left side wall (3) to an inner ring (2) to a center hole right side wall (1); and calculating the rigidity of the shock absorber shell through a formula. The method for calculating the rigidity of the shell of the silicone oil torsion damper can adapt to various sizes of the silicone oil torsion damper, the torsional rigidity of the shell can be obtained without finite element analysis, the method is suitable for programming calculation, and the difference between the calculation result and the calculation result of a finite element method is about 2%.

Description

Technical Field

[0001] The invention relates to the technical field of engine vibration damper manufacturing, and in particular to a method for calculating the rigidity of a silicone oil torsion vibration damper housing. Background Art

[0002] The engine torsional vibration damper is composed of a housing, a vibration damper inertia ring, silicone oil and bearings. The torsional stiffness of the housing is an important indicator when designing the vibration damper. It is related to the magnitude of the torsional vibration amplitude and the stability of the engine operation. The most commonly used method to calculate the stiffness of the silicone oil vibration damper housing is the finite element analysis method.

[0003] The silicone oil torsion vibration damper in the present invention is as follows Figure 1 As shown, it includes a shock absorber housing, in which a shock absorber inertia ring is arranged, and a gap is reserved between the shock absorber inertia ring and the shock absorber housing. For the convenience of explanation, the parts of the shock absorber housing and the shock absorber inertia ring relative to each other are defined as: outer ring ⑤, inner ring ②, annular left side wall ③, annular right side wall ④, and right side wall of the center hole ①.

[0004] The inventors found in the process of implementing the present invention that: In the patent document with application number 2018102617146, when using the finite element analysis method to calculate the shell stiffness, it is necessary to draw the model of the shock absorber shell and import it into the finite element analysis software, submit the calculation after defining the material and mechanical boundary conditions, and obtain the value of the torsional stiffness through post-processing. The process of using the finite element analysis method is complicated, slow, and not suitable for programming calculation; Patent document No. 2023105779425 proposes a formula for calculating the stiffness of the shock absorber, but the stiffness of the shock absorber is not the stiffness of the shock absorber housing; Patent document with application number 2018105899356 proposes a method for calculating the stiffness of a diesel engine coil spring torsional vibration damper, patent document with application number 201710649695X proposes a diesel engine leaf spring torsional vibration damper stiffness and stress calculation model, and patent document with application number 2015205586349 proposes a seat shock absorber stiffness adjustment device, but these methods are not applicable to silicone oil shock absorbers.

[0005] From the above analysis, it can be seen that the existing methods cannot quickly calculate the stiffness of the silicone oil shock absorber shell according to the size of the silicone oil shock absorber shell and the shell material. The finite element analysis method is complex to set up and inconvenient for programming and calculation. It is urgent to derive the mathematical relationship between the size of the silicone oil shock absorber shell, the shell material and the stiffness of the shock absorber shell. Summary of the invention

[0006] In order to solve the problems existing in the prior art, the present invention proposes a method for calculating the stiffness of a silicone oil torsional vibration damper housing, clarifies the mathematical relationship between the size of the silicone oil vibration damper housing, the housing material and the stiffness of the vibration damper housing, thereby solving the technical problem that the finite element analysis method is complex to set up and inconvenient for programming and calculation.

[0007] Invention concept: Considering the installation method of the silicone oil shock absorber, the distribution of the damping force on the inner wall of the silicone oil shock absorber shell, the shell material and size and other influencing factors, the torsional deformation angle of the silicone oil shock absorber shell is calculated through theoretical deduction to obtain the value of torsional stiffness.

[0008] To this end, the technical solution of the present invention is: a method for calculating the stiffness of a silicone oil torsional vibration damper housing, the specific steps are: S1. Assume that the space between the shock absorber housing and the shock absorber inertia ring is filled with a viscosity of The relative angular velocity between the fluid, the inertia ring of the shock absorber and the shock absorber housing Rotating at a uniform speed, according to Newton's law of viscosity, the radius of the shock absorber housing is Viscous shear stress at for: (Formula 1) Combined with the specific structure of the silicone oil torsional vibration damper, the silicone oil fills the gap between the vibration damper housing and the vibration damper inertia ring. , when relative displacement occurs between the shock absorber housing and the shock absorber inertia ring, the viscous shear stress on the inner cavity of the shock absorber housing is not evenly distributed, but the larger the radius, the greater the viscous shear stress; according to the characteristics of the viscous shear stress on each part of the shock absorber housing, the housing is divided into five areas, namely, the right side wall of the center hole ①, the inner ring ②, the left side wall of the annular ring ③, the right side wall of the annular ring ④, and the outer ring ⑤. The viscous shear stresses of these five areas are: (Formula 2) (Formula 3) (Formula 4) (Formula 5) (Formula 6) in, to The viscous shear stresses corresponding to the five regions are: , , , , is the relevant size corresponding to the shock absorber; S2. When the shock absorber is working, the torsion amplitude of the upper left corner of the shock absorber housing is the largest. According to Formula 2-Formula 6, the torque diagram of the five areas of the housing can be drawn. The torque value can be deduced from the outer ring ⑤→ the right side wall of the ring ④→ the left side wall of the ring ③→ the inner ring ②→ the right side wall of the center hole ①. The maximum torque value of the outer ring area ⑤ is , The maximum torque value of the area ④ on the right side of the annular wall is , The maximum torque value of the area ③ on the left side of the annular wall is , The maximum torque in the inner ring area ② is , The maximum torque in the area ① on the right side of the center hole is , Therefore, the maximum torque on the shock absorber housing is: (Formula 7) S3. According to the torque diagram, calculate the maximum torsion angle of the shell along the path of the right side wall of the center hole ①→ the right side wall of the ring ④→ the outer ring ⑤. The maximum torsion angle of the area ① on the right side wall of the center hole is , The maximum torsion angle of the right side wall of the annular region ④ is , The maximum torsion angle of the outer ring area ⑤ is: (Formula 8) S4. Calculate the shock absorber housing stiffness as: (Formula 9) According to the above formula, the torsional stiffness value of the shell can be calculated.

[0009] Preferably, the size and material parameters of a certain shock absorber are substituted into Formula 9, where: a=70.5 mm; R=136.025 mm; c=78.975 mm; B=15.025 mm; L1=9 mm; L2=38 mm; L3=3 mm; L4=3.95 mm; δ1=0.5 mm; δ2=0.55 mm; δ3=1.275 mm; d=140 mm; h=25 mm, and the calculated shell stiffness is 8420000 N m / rad, and the shell stiffness calculated using finite element analysis software is 8250000 N m / rad, and the difference between the two is 2.02%.

[0010] Beneficial effect: The method for calculating the shell stiffness of the silicone oil torsional vibration damper of the present invention can adapt to various sizes of silicone oil torsional vibration dampers, does not require finite element analysis to obtain the shell torsional stiffness, is suitable for programming calculation, and the calculation result is about 2% different from the result calculated by the finite element method, which can replace the finite element analysis. Compared with the finite element software, if the finite element software calculation process is required every time the shock absorber size is changed, the process is complicated and slow, while using the formula of the present invention for calculation, thousands of attempts can be made in one second, and the optimal size can be found quickly. The formula of the present invention has a faster calculation speed, is convenient for programming calculation, and is convenient for rapid optimization of the shock absorber size. BRIEF DESCRIPTION OF THE DRAWINGS

[0011] FIG. 1 is a schematic diagram of a silicone oil torsional vibration damper according to the present invention.

[0012] Figure 2 1 is a torque diagram of the silicone oil torsional vibration damper of the present invention. DETAILED DESCRIPTION

[0013] The technical solution of the present invention will be clearly and completely described below in conjunction with the accompanying drawings, but this embodiment should not be understood as limiting the present invention.

[0014] The following describes the specific application of the present invention in conjunction with an example of calculating the rigidity of the silicone oil torsion damper housing. The specific implementation steps are as follows: S1. Assume that the space between the shock absorber housing and the shock absorber inertia ring is filled with a viscosity of The fluid between the shock absorber inertia ring and the shock absorber housing is at a relative angular velocity Rotating at a uniform speed, according to Newton's law of viscosity, the radius of the shock absorber housing is Viscous shear stress at for: (Formula 1) according to Figure 1 The specific structure of the silicone oil torsional vibration damper is that the silicone oil fills the gap between the shock absorber housing and the shock absorber inertia ring. , when relative displacement occurs between the shock absorber housing and the shock absorber inertia ring, the viscous shear stress on the inner cavity of the shock absorber housing is not evenly distributed, but the larger the radius, the greater the viscous shear stress; according to the characteristics of the viscous shear stress on each part of the shock absorber housing, the housing is divided into five areas, namely, the right side wall of the center hole ①, the inner ring ②, the left side wall of the annular ring ③, the right side wall of the annular ring ④, and the outer ring ⑤. The viscous shear stresses of these five areas are: (Formula 2) (Formula 3) (Formula 4) (Formula 5) (Formula 6) in, to The viscous shear stresses corresponding to the five regions are: , , , , are the relevant dimensions of the shock absorber, such as Figure 1 Indicated in S2. When the shock absorber is working, Figure 1 The torsion amplitude of the upper left corner of the shock absorber housing is the largest. According to Formula 2-Formula 6, the torque diagram of the five areas of the housing can be drawn. The torque value can be deduced from the outer ring ⑤→ the right side wall of the ring ④→ the left side wall of the ring ③→ the inner ring ②→ the right side wall of the center hole ①. The maximum torque value of the outer ring area ⑤ is , The maximum torque value of the area ④ on the right side of the annular wall is , The maximum torque value of the area ③ on the left side of the annular wall is , The maximum torque in the inner ring area ② is , The maximum torque in the area ① on the right side of the center hole is , Therefore, the maximum torque on the shock absorber housing is: (Formula 7) S3. According to the torque diagram, calculate the maximum torsion angle of the shell along the path of the right side wall of the center hole ①→ the right side wall of the ring ④→ the outer ring ⑤. The maximum torsion angle of the area ① on the right side wall of the center hole is , The maximum torsion angle of the right side wall of the ring in area ④ is , The maximum torsion angle of the outer ring area ⑤ is: (Formula 8) in, is the shear section modulus of the shell material.

[0015] S4. Calculate the shock absorber housing stiffness as: (Formula 9) According to the above formula, the torsional stiffness value of the shell can be calculated.

[0016] In this embodiment, the size and material parameters of a certain shock absorber are substituted into Formula 9, where: a=70.5 mm; R=136.025 mm; c=78.975 mm; B=15.025 mm; L1=9 mm; L2=38 mm; L3=3 mm; L4=3.95 mm; δ1=0.5 mm; δ2=0.55 mm; δ3=1.275 mm; d=140 mm; h=25 mm, and the shell stiffness calculated is 8420000 N m / rad, and the shell stiffness calculated using the finite element analysis software is 8250000 N m / rad, and the difference between the two is 2.02%, indicating that the finite element analysis can be replaced; At the same time, compared with finite element software, if the finite element software needs to be used for calculation every time the shock absorber size is changed, the process is complicated and slow, while using the formula of the present invention for calculation, thousands of attempts can be made in one second, and the optimal size can be found quickly. The formula of the present invention has a faster calculation speed, is easy to program and calculate, and is convenient for rapid optimization of the shock absorber size.

[0017] Parts not described in detail in this specification are well-known technologies in the art.

[0018] Through the description of the above processing method, technicians in the relevant technical field should understand that the present invention is not limited to the above-mentioned specific implementation methods. Improvements and substitutions using the well-known technology in the field on the basis of the present invention all fall within the protection scope of the present invention and should be defined by the claims.

Claims

1. Calculation method of silicone oil torsional vibration damper housing stiffness, the specific steps are: S1. Assume that the space between the shock absorber housing and the shock absorber inertia ring is filled with a viscosity of The fluid between the shock absorber inertia ring and the shock absorber housing is at a relative angular velocity Rotating at a uniform speed, according to Newton's law of viscosity, the radius of the shock absorber housing is Viscous shear stress at for: (Formula 1) Combined with the specific structure of the silicone oil torsional vibration damper, the silicone oil fills the gap between the vibration damper housing and the vibration damper inertia ring. , when relative displacement occurs between the shock absorber housing and the shock absorber inertia ring, the viscous shear stress on the inner cavity of the shock absorber housing is not evenly distributed, but the larger the radius, the greater the viscous shear stress; according to the characteristics of the viscous shear stress on each part of the shock absorber housing, the housing is divided into five areas, namely, the right side wall of the center hole ①, the inner ring ②, the left side wall of the annular ring ③, the right side wall of the annular ring ④, and the outer ring ⑤. The viscous shear stresses of these five areas are: (Formula 2) (Formula 3) (Formula 4) (Formula 5) (Formula 6) in, to The viscous shear stresses corresponding to the five regions are: , , , , is the relevant size corresponding to the shock absorber; S2. When the shock absorber is working, the torsion amplitude of the upper left corner of the shock absorber housing is the largest; according to formula 2-formula 6, the torque diagram of the five areas of the housing can be drawn. The torque value can be deduced from the outer ring ⑤→ the right side wall of the ring ④→ the left side wall of the ring ③→ the inner ring ②→ the right side wall of the center hole ①. The maximum torque value of the outer ring area ⑤ is , The maximum torque value of the area ④ on the right side of the annular wall is , The maximum torque value of the area ③ on the left side of the annular wall is , The maximum torque in the inner ring area ② is , The maximum torque in the area ① on the right side of the center hole is , Therefore, the maximum torque on the shock absorber housing for: (Formula 7) S3. According to the torque diagram, calculate the maximum torsion angle of the shell along the path of the right side wall of the center hole ①→ the right side wall of the ring ④→ the outer ring ⑤. The maximum torsion angle of the area ① on the right side wall of the center hole is , The maximum torsion angle of the right side wall of the ring in area ④ is , The maximum torsion angle of the outer ring area ⑤ is: (Formula 8) S4. Calculate the shock absorber housing stiffness for: (Formula 9) According to the above formula, the torsional stiffness value of the shell can be calculated.

2. The method for calculating the housing stiffness of a silicone oil torsional vibration damper according to claim 1, characterized in that: Substitute the dimensions and material parameters of a certain shock absorber into Formula 9, where: a=70.5 mm, R=136.025 mm, c=78.975 mm, B=15.025 mm, L1=9 mm, L2=38 mm, L3=3 mm, L4=3.95 mm, δ1=0.5 mm, δ2=0.55 mm, δ3=1.275 mm, d=140 mm, h=25 mm. The calculated shell stiffness is 8420000 N m / rad. The shell stiffness calculated using the finite element analysis software is 8250000 N m / rad. The difference between the two is 2.02%.

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