A Nonlinear Dynamics Bond Graph Model of Gear Transmission
A nonlinear dynamics bond graph model of gear pair is established including the time-varying stiffness, transmission error and tooth surface friction. A capacitive component C is introduced to represent the loads and tooth elastic deformation while introducing the concept of switched power junctions (SPJ) to describe time-varying gear mesh stiffness with clearance, and flow Sf represents the influences of the gear transmission error on the system dynamic equations. The tooth surface friction bond graph model involving the relationship of the relative velocity and the direction of friction are developed. According to the causal relations and the power flow, the state-space equations of the gear bond graph model are obtained. Research results show that bond graph modeling method can solve the modeling problem of the gear nonlinear dynamics.
Liangchi Zhang, Chunliang Zhang and Tielin Shi
J. Y. Tang et al., "A Nonlinear Dynamics Bond Graph Model of Gear Transmission", Advanced Materials Research, Vols. 139-141, pp. 933-937, 2010