Helical bevel gear meshing system vibration characteristic analysis method and system

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

technical field [0001] The invention belongs to the field of nonlinear vibration analysis of gears, and in particular relates to a vibration characteristic analysis method and system of a helical bevel gear meshing system. Background technique [0002] The statements in this section merely provide background information related to the present disclosure and do not necessarily constitute prior art. [0003] The orthogonal bevel gear is the main direction-changing transmission device, and the vehicle final drive is a typical bevel gear meshing system, which is the main component of the drive train and the main vibration source of the vehicle. 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 parame...

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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 research and comparison, the vibration characteristics of the gear meshing system can be analyzed in detail in the research and development stage before mass production, and used to guide the optimal design

[0005] The finite element method is a static calculation, which reflects the static vibration characteristics of the system, and cannot reflect the vibration characteristics of the entire system caused by the rotational speed. The Fourier transform estimation method based on statistical energy spectrum analysis is used, which focuses on the calculation results to prove Effectiveness of improvement measures, but cannot reflect the specific effects of changes in various parameters

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