WAVELET-BASED STOCHASTIC SEISMIC RESPONSE OF A DUFFING OSCILLATOR

B. BASU and V. K. GUPTA

Department of Civil Engineering, Jadavpur University, Calcutta, 700032, India
Department of Civil Engineering, Indian Institute of Technology, Kanpur, 208016, India

Abstract

This paper presents formulation for the non-stationary response of a Duffing oscillator under a seismic excitation process. The excitation process is assumed to be characterized through wavelet coefficients and the non-linear system is replaced by a stochastic equivalent linear system with time-varying parameters. An example ground motion process has been used to show that the proposed approach gives accurate response estimates in case of mildly non-linear systems.