Forced oscillators with non-linear spring: A simple analytical approach

Abstract:

An analytical method of finding the amplitude frequency and phase frequency characteristics of a forced oscillator with non-linear restoring force is proposed. The non-linear restoring force is simply fitted by a linear one with varying stiffness. The analytical expression of amplitude frequency characteristics pbkp_redicts the jump or bifurcation points; and keeps highly consistent with the numerical results. This method can be used to both smooth and piecewise linear restoring force. © 2008 Elsevier Ltd. All rights reserved.

Año de publicación:

2009

Keywords:

Fuente:

scopus