RESPONSE OF A NONLINEAR-SYSTEM WITH STRONG DAMPING TO MULTIFREQUENCY EXCITATIONS

In this paper, a new asymptotic calculation method is presented for a class of nonlinear nonautonomous vibration systems with multiple exter nal periodic interferences. Simple calculation formulae of an asymptot ic solution for resonance and off-resonance vibration are derived. The paper is concerned with a vibration system representing a class of no nlinear oscillators. Consequently, the calculation of a class of nonli near oscillators is routinized. Two different Duffing equations are ve rified which shows that the results are completely in accordance with the solutions of references [3, 4, 6]. The derivation of solutions of Duffing equations becomes easier and simpler. In addition, some errors in reference [6] are pointed out.