Effect of Mesh Stiffness on the Dynamic Response of Face Gear Transmission System

Abstract

The effect of mesh stiffness on the dynamic response of face gear transmission system combining with backlash nonlinearity is studied. First, a nonlinear time-varying (NLTV) and a nonlinear time-invariant (NLTI) dynamic models of face gear transmission system with backlash nonlinearity are formulated. The 6DOF motion equations of the face gear pair considering the mesh stiffness, backlash, contact damping and supporting stiffness are proposed. Second, the effect of mesh stiffness on the dynamic response of the face gear drive system is analyzed with the numerical method, where the mesh stiffness is expressed in two patterns as time-varying form and time-invariant form. According to the comparative study, some significant phenomena as bifurcation, chaos, tooth separation and occurrence of multijump are detected. The results show that different forms of mesh stiffness generate an obvious change on the dynamic mesh force.

Influence of torsional stiffness on load sharing coefficient of a power split drive system

“…Let Finmf, Finpjs and FinBjh respectively represent the meshing force between the gear pair Zm and Zif, Zip and Zijs, ZB and Zijh. The meshing stiffness of face gear pair is calculated according to the literature calculation method [14,15]. The input torques are TD and the load is To.…”

Coupled translation-rotation vibration and dynamic analysis of face geared rotor system

“…The accurate real time-varying mesh stiffness was calculated through quasi-static contact analysis using the finite element approach, and the effects of the directional rotation radius and transmission error excitation on the dynamic responses were studied. Hu [15] et al proposed a nonlinear time-varying and a nonlinear time-invariant dynamic model of face gear transmission system and investigated the effects of the mesh stiffness on the dynamic responses. The results show that different forms of mesh stiffness generate an obvious change on the dynamic mesh force.…”

Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions

“…More recently, dynamics and stability of face-gear drives have become of interest. Lumped-mass models considering time-varying meshing effects were established to explore torsional vibrations of face-gear drives [19][20][21]. For lightweight designs with large diameter-to-thickness ratios, the face-gear body can essentially be considered as a spinning circular plate with out-ofplane meshing loads.…”