Nonlinear dynamics calculation method for gear pair

A technology of nonlinear dynamics and calculation method, which is applied in the field of nonlinear dynamics modeling of gear pairs, can solve the problems of tooth surface disengagement of gear pairs without backlash, avoid calculation errors and improve the accuracy of dynamic calculation. Effect

Active Publication Date: 2018-05-18
CHANGAN UNIV
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Problems solved by technology

At present, the research on the nonlinear dynamics of the system at home and abroad is mostly focused on the cause of the backlash, and the existing experimental research shows that the backlash-free gear pair may also have tooth surface disengagement, response amplitude jump, chaos and bifurcation, etc. strongly nonlinear dynamical phenomena

Method used

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  • Nonlinear dynamics calculation method for gear pair
  • Nonlinear dynamics calculation method for gear pair
  • Nonlinear dynamics calculation method for gear pair

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specific Embodiment approach

[0063] (3) Nest the Newmark integral and the chord intercept method, consider the excitation change caused by the instantaneous contact state change when solving the dynamic response, and realize the "excitation-response-feedback" phase closed-loop analysis process. The specific implementation method is:

[0064] 1) For the dynamic differential equations such as formula (7), the initial meshing stiffness and comprehensive meshing error are given to form the initial value of the total excitation load vector F 0 , while giving the initial value of displacement X 0 , the initial value of speed And calculate the initial value of acceleration

[0065]

[0066] 2) Select the integration step size Δt, Newmark integration parameters α, β, and calculate the integration constant (β≥0.5 and α≥0.25(0.5+β) 2 )

[0067]

[0068] 3) Form the stiffness matrix K, mass matrix M, and damping matrix C at time t+Δt, and calculate the payload at time t+Δt:

[0069]

[0070] 4) Form...

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Abstract

The invention discloses a nonlinear dynamics calculation method for a gear pair. The method comprises the steps that the feedback effect of vibration displacement to the dynamic contact condition of agear surface of the gear pair in the actual running process is considered, and the nonlinear excitation of the dynamic meshing rigidity and dynamic comprehensive meshing errors is calculated. Dynamiccontact analysis of the gear pair and a system dynamics solution process are combined, and an excitation-response-feedback loop-locked calculation process of the system is achieved. According to themethod, the nonlinear dynamics phenomenon of the gear pair due to parameters such as gear surface errors and shape correction can be acquired, the dynamics behavior of the system in the dynamic contract process can be more truly simulated, and the calculation accuracy of dynamics is improved.

Description

technical field [0001] The invention belongs to the technical field of dynamics, and relates to a nonlinear dynamic modeling method of a gear pair. Background technique [0002] The problem of gear system dynamics has always been a hot research topic in industry and academia. During the actual operation of the gear pair, it is affected by factors such as time-varying mesh stiffness, gear error, shape modification, backlash and mesh impact, and exhibits complex dynamic responses. Studying the basic rules of vibration, impact and noise of gear pairs under different conditions has important guiding significance for designing low-vibration-noise and high-reliability gear transmission systems. [0003] The time-varying meshing stiffness and tooth surface error of gears are two important excitation sources that cause system vibration. Previous studies often considered the mesh stiffness and gear error excitations separately, but in fact the two types of excitations interact with...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/17G06F2119/06
Inventor 常乐浩贺朝霞苏进展张富强雷震
Owner CHANGAN UNIV
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