Nonlinear dynamics of hypoid gear with coupled dynamic mesh stiffness

Abstract

This study proposes a dynamics model for hypoid gears, considering mesh stiffness that is dependent on dynamic mesh force. Owing to the fundamental role of mesh stiffness in gear dynamics, its proper and accurate description is critical in any modeling effort. Unlike many works in the literature, which adopted mesh stiffness arrived under quasi-static condition, this study establishes the interaction between mesh stiffness and dynamic response to allow the real time variation of mesh stiffness under dynamic condition. To overcome the unaffordable computational time involved in the determination of dynamic mesh stiffness, a parametric surface approach is employed. A set of parametric simulations is carried out to show evident impact of dynamic mesh stiffness on hypoid gear dynamic response, which is more significant when load becomes lower. The introduced model provides a physics based tool to quantify the interaction between mesh stiffness and dynamic mesh force, capable of capturing more complicated dynamic response of hyoid gear mesh.