Abstract
A wavelet-Galerkin method based solution for nonlinear differential equation of motion is presented. Specifically, first, theory background of Periodic Generalized Harmonic Wavelet (PGHW) and its connection coefficients are briefly introduced. Next, wavelet coefficients of response are solved from a set of nonlinear algebra equations obtained via the wavelet-Galerkin approach. In this regard, Newton׳s method is employed to solve the nonlinear algebra equation. Further, stochastic response is determined by evoking a relationship between the wavelet coefficients and the corresponding response power spectrum density. Finally, pertinent numerical simulations demonstrate the reliability of the proposed approach.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
