The dynamic stability of a single cam drive mechanism is investigated by the analytical approach.
The nonlinear differential equation which describes the motion of a single cam drive mechanism is linearized with respect to the input power angle, resulting in a linear parametric differential equation. The instability region is then determined by applying the harmonic balance method and the transition matrix method to the linearized parametric equation having periodicity.
Through the dynamic stability analysis of a single cam drive mechanism, it is observed that the parametric resonances exist and the instability regions tend to become wide as the drive speed and the valve mass increase.