In this paper, according to the form of the asymptotic solution of papers [1, 2], the asymptotic method is extended to the following a class of more general strong nonlinear vibration systemswhere g and f are the nonl...In this paper, according to the form of the asymptotic solution of papers [1, 2], the asymptotic method is extended to the following a class of more general strong nonlinear vibration systemswhere g and f are the nonlinear analytical-functions of x and x, and e>0 is a small parameter. We assume that the derivative system corresponding to e=0 has periodic solution. The recurrence equations of the asymptotic solution for the system (0.1) are deduced in this paper, and they are applied to practical examples.展开更多
文摘In this paper, according to the form of the asymptotic solution of papers [1, 2], the asymptotic method is extended to the following a class of more general strong nonlinear vibration systemswhere g and f are the nonlinear analytical-functions of x and x, and e>0 is a small parameter. We assume that the derivative system corresponding to e=0 has periodic solution. The recurrence equations of the asymptotic solution for the system (0.1) are deduced in this paper, and they are applied to practical examples.
