Dynamic Modeling of Nonlinear Oscillation System

A novel nonlinear oscillation model (NOM) built by combining two mechanisms is proposed: (1) four offset slider-crank mechanism and (2) stiffness correction mechanism (SCM) comprising four smaller rollers rolling without sliding on the surface of the cams fixed on the framework. Especially, instead of using traditional elastic elements, for example, mechanical spring and air rubber spring, pneumatic artificial muscle (PAM) is considered as a spring in this chapter. First, the physical model of the NOM is expressed. Then, the dynamic analysis of the proposed system is carried out. Second, the vibration equation of the platform is solved by using an algorithm combining the incremental method and harmonic balance method to analyze the primary resonance response of the NOM at the steady state. Finally, to test the approximate method by integrating directly the original dynamic equation, the simulation is investigated. The simulating results show that the IHBM method matches well with the direct integrating one, which means that the error of the approximated method is insignificant.