Nonlinear Vibration with Volterra Series Method Used in Civil Engineering: The Bouc - Wen Hysteresis Model of Generalized Frequency Response

Abstract

Volterra series take important role in nonlinear vibration analysis. For material hysteresis, it is proposed Bouc-Wen model to estimate frequency response function by using Volterra series in this paper: first, the component of hysteretic linear parameters was identified, then complex function was calculated, finally the differential equation of hysteretic systems was solved based on Harmonic detection method. It is not only for fast-identifying system parameters, but also providing for nonlinear seismic response.