抄録
Various vibration control techniques using piezoelectric actuators have been studied widely as a major research area of smart structures. This paper focuses on a well-known semi-active technique using inductors, diodes, and switches with piezoelectric actuators. Semi-active control systems using this technique are nonlinear systems with discontinuity and performance evaluation of these systems is not easy because of the strong nonlinearity. A possible approach is using periodic solutions for harmonic disturbance. Previous studies show the periodic solutions by using harmonic balance method. The solutions are obtained in analytical closed form and convenient for understanding of relation between the performance and the parameters of the systems. However, the effects of the higher harmonics ignored in harmonic balance method are not considered enough in the previous studies and the accuracy of the obtained solutions is not clear. This paper shows high accurate solutions obtained by shooting method which is a numerical method for periodic analysis of nonlinear systems. The comparison of the solutions by harmonic balance method and the high accurate solutions shows that the accuracy of the previous solutions is enough for only weak coupling cases.