Incremental harmonic balance method with multiple time variables for dynamical systems with cubic non-linearities

摘要: The incremental harmonic balance method with multiple time variables is developed for analysis of almost periodic oscillations in multi-degree-of-freedom dynamical systems cubic non-linearities, subjected to the external multi-tone excitation. formulated treat non-autonomous as well autonomous systems. oscillations, which coexist a rotating system model restoring force and an electromagnetic eddy-current damper are analysed. closed form solutions based on generalized Fourier series containing two incommensurate frequencies obtained case small non-dimensional stiffness ratio. Almost dependence variable parameters also analysed, where computed through augmentation process including greater number harmonics combination involved. Copyright © 2003 John Wiley & Sons, Ltd.