Wavelet-Based Linearization for Single-Degree-Of-Freedom Nonlinear Systems

This paper introduces a wavelet-based linearization method to estimate the single-degree-of-freedom (SDOF) nonlinear system response based on the traditional equivalent linearization technique. The mechanism by which the signal is decomposed and reconstructed using the wavelet transform is investigated. Since the wavelet analysis can capture temporal variations in the time and frequency content, a nonlinear system can be approximated as a time dependent linear system by combining the wavelet analysis technique with well-known traditional equivalent linearization method. Two nonlinear systems, bilinear hysteretic system and Duffing oscillator system, are used as examples to verify the effectiveness of the proposed wavelet-based linearization method.

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