Abstract

The method of quasi-conservative averaging was developed originally to treat the vibration of a system with a strongly non-linear stiffness and under white-noise excitation. The method is extended herein to the case of non-white broad-band excitation, using an energy-dependent white-noise approximation. The results are compared with those of a Fourier expansion technique developed earlier. The relative simplicity, accuracy and applicability of the two methods are compared.

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