Dynamics Analysis of a Controllable Mechanism

Hybrid mechanism is a kind of controllable mechanism. It may be composed of one or multiple coupled kinematic loops forming a mechanism network, and is highly nonlinear devices. The bond graph approach provides a compact and versatile representation for kinematics and dynamics of hybrid mechanism, and is more suitable for automatic derivation and computation on a computer. Here, an analysis procedure that can be used to produce the dynamics equations of hybrid mechanism is presented. According to bond graph model, dynamics equations can be derived. The unified formula of dynamics equations derived here is a regularized one. The driving powers of hybrid mechanism can be obtained in terms of physical parameters of mechanism and kinematic states, and no need to analyze acceleration of mechanism. Finally, a numerical example is presented illustrating its validity. The results show that efficiency and reliability of dynamics analysis for hybrid mechanism are enhanced obviously.