216 シューティング法を用いた衝突振動系の解析

概要

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A shooting method is presented for determining the periodic solutions of impacting systems. By introducing the step function and the delta one which show the instantaneous change of velocity into the equation of motion, the variational equation with delta function and its differentiation which are needed for the shooting method is derived. This method is applied to two single-degree-of-freedom systems. The stabilities of the periodic solutions obtained by the shooting method are in good accordance with those obtained by the analytical method. The discontinuities in the stability of the periodic solutions, which are generated by an additional impact, are found. Lyapunov exponents are also calculated by applying the integral technique of variational equation, which is developed in the shooting method.
社団法人日本機械学会の論文
2000-09-01