Dynamic analysis of spur gears system with dynamic force increment and velocity-dependent mesh stiffness

The actual gear mesh process is dynamic and the driving speed is of a great significance for dynamic response, while its nonlinear effect in the evaluation of mesh stiffness has commonly ignored by many scholars. In this paper, a new nonlinear dynamic model for spur gear system considering dynamic force increment, together with the effect of velocity-dependent mesh stiffness, is developed to obtain the dynamic response. An original computational algorithm for calculating velocity-dependent mesh stiffness based on analytical-FEM framework is proposed, whose correction is verified by finite element method. The steady-state solution of the gear system is studied analytically by numerical simulations. Changes in the dynamic responses in the time/frequency domains using the driving speed as the control parameter are examined, and the nonlinear relationship between the driving speed and the time-varying mesh stiffness is demonstrated. Numerical results are presented to illustrate and quantify the influence of velocity-dependent mesh stiffness and dynamic force increment on the dynamic characteristics of the spur gear system. The results presented in this study demonstrate the reasonable accuracy of velocity-dependent mesh stiffness and provide a theoretical basis for the follow-up research and experiment in the field of spur gear system dynamics.

Automated summary

In this paper, a new nonlinear dynamic model for spur gear system considering dynamic force increment and velocity-dependent mesh stiffness is proposed to obtain the dynamic response. An original computational algorithm for calculating velocity-dependent mesh stiffness is developed and verified by finite element method. Numerical simulations are performed to analyze the steady-state solution and dynamic characteristics of the gear system, showing the nonlinear relationship between driving speed and time-varying mesh stiffness.