文摘
Nonlinear phenomena are widely encountered in practical engineering applications. A typical example is fatigue cracks which open and close under dynamic loadings, exhibiting breathing characteristic and introducing bi-linearity into structures. In this paper, we mainly focus on the idealization of bilinear phenomena by a polynomial function of the desired order which has a greater significance in nonlinear parametric system identification. The proposed polynomial idealization of restoring force of the bilinear problem is validated by comparing the frequency response and displacement time history response of a numerically simulated single degree of freedom cantilever beam with a single-edged breathing crack excited under harmonic loading.