On Equivalent Linearization Using Wavelet Transform

[+] Author and Article Information
B. Basu

Dept. of Civil Engineering, Jadavpur University, Calcutta - 700032, India

V. K. Gupta

Dept. of Civil Engineering, Indian Institute of Technology, Kanpur - 208016, India

J. Vib. Acoust 121(4), 429-432 (Oct 01, 1999) (4 pages) doi:10.1115/1.2893998 History: Received October 01, 1998; Revised March 01, 1999; Online February 26, 2008


This paper proposes a wavelet-based formulation for linearizing a base-excited single-degree-of-freedom nonlinear system to a time-variant linear (TVL) system. The given system is assumed to be nonlinear in stiffness, and the time-dependent natural frequency of the equivalent system is proposed to he estimated through instantaneous minimization of the mean-square error. A duffing oscillator has been considered to illustrate the performance of the proposed TVL system.

Copyright © 1999 by The American Society of Mechanical Engineers
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