Helical bevel gear meshing system vibration characteristic analysis method and system

A technology of bevel gears and vibration characteristics, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve the problems of inability to reflect, rough calculation, and inability to reflect the influence of the critical speed of gear system parameters, etc., and achieve accurate and stable results , the effect of fast calculation speed

Pending Publication Date: 2022-02-08
泰安航天特种车有限公司
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  • Summary
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  • Application Information

AI Technical Summary

Problems solved by technology

The existing vibration analysis of the gear meshing system is still limited to finite element modal analysis and statistical energy estimation in the frequency domain through Fourier transform, and the calculation is rough using the finite element method or Fourier transform method, which cannot reflect the influence of gear system parameters on the critical speed , cannot guide the design
[0004] The safe working area of ​​a gear transmission system with a complex structure is limited and regular in the entire angular frequency domain. Existing methods cannot quantitatively analyze and divide it, and cannot easily change gear parameters. For various forms of gears Combination re

Method used

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  • Helical bevel gear meshing system vibration characteristic analysis method and system
  • Helical bevel gear meshing system vibration characteristic analysis method and system
  • Helical bevel gear meshing system vibration characteristic analysis method and system

Examples

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Example Embodiment

[0056] Example 1

[0057] like figure 1 As shown, this embodiment discloses a vibration characteristic analysis method of a helical bevel gear meshing system, including the following steps:

[0058] Step 1: Obtain the system parameters of the orthogonal helical bevel gear pair;

[0059] The gear system parameters include: gear mass, moment of inertia, polar moment, pitch radius, gear tooth stiffness, pressure angle, helix angle, taper angle, shaft length, shaft diameter, shaft section moment of inertia, Young's elastic modulus quantity, bearing stiffness.

[0060] The parameters include the generalized force and displacement vector of the orthogonal helical bevel gear pair, the generalized force includes shear force, bending moment, and torque, and the displacement includes relative displacement of the shaft center, deflection angle, torsion angle, and the like.

[0061] In this embodiment, the positive direction of shear force and bending moment is different from the provisio

Example Embodiment

[0130] Embodiment 2

[0131] This embodiment provides a vibration characteristic analysis system of a helical bevel gear meshing system, including:

[0132] A system parameter acquisition module, which is configured to acquire system parameters of the orthogonal helical bevel gear pair;

[0133] a vibration force calculation module, which is configured to: obtain the meshing vibration force between the gears according to the system parameters of the orthogonal helical bevel gear pair;

[0134] a vibration force decomposition module, which is configured to: calculate the influence matrix of the meshing gear pair by decomposing the meshing vibration force between the gears in combination with the shear force, bending moment and torque balance equation;

[0135] According to the mechanical characteristics of the shaft segment, the influence matrix of the shaft segment is obtained by establishing the relational expressions of the state parameters at both ends of the shaft segment;

Example Embodiment

[0138] Embodiment 3

[0139] Embodiments of this specification provide a computer device, including a memory, a processor, and a computer program stored in the memory and running on the processor, where the processor implements the helical gear in Embodiment 1 when the processor executes the program Steps of a method for analyzing vibration characteristics of bevel gear meshing systems.

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Abstract

The invention discloses a helical bevel gear meshing system vibration characteristic analysis method and system. The method comprises the following steps: acquiring system parameters of an orthogonal helical bevel gear pair; obtaining the meshing vibration force between the gears according to the system parameters of the orthogonal helical bevel gear pair; calculating an influence matrix of a meshing gear pair by decomposing meshing vibration force between gears in combination with shear force, bending moment and a torque balance equation; establishing a relational expression of state vectors at two ends of the shaft section according to mechanical characteristics of the shaft section to obtain an influence matrix of the shaft section; sequentially multiplying the influence matrix of the shaft section by the influence matrix of the meshing gear pair, and establishing a kinetic equation of the whole system; and solving the kinetic equation to obtain all critical rotating speeds in the working rotating speed range of the gear system, and solving the vibration mode corresponding to the critical rotating speed of the gear transmission system by utilizing the critical rotating speed of the gear transmission system.

Description

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Claims

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Application Information

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Owner 泰安航天特种车有限公司
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