Accuracy Improvement of the Method of Multiple Scales for Nonlinear Vibration Analyses of Continuous Systems with Quadratic and Cubic Nonlinearities

Abstract

This paper proposes an accuracy improvement of the method of multiple scales MMSs for nonlinear vibration analyses of continuous systems with quadratic and cubic nonlinearities. As an example, we treat a shallow suspended cable subjected to a harmonic excitation, and investigate the primary resonance of themth in-plane mode Ω ≈ ωm in whichΩ and ωm are the… (More)

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