Response EPSD of chain-like MDOF nonlinear structural systems via wavelet-Galerkin method

The periodic generalized harmonic wavelet (PGHW) method is used to analyze the response of chain-like multi-degree-of-freedom (MDOF) nonlinear structural system with seismic excitation in time and frequency domain. First, theoretical background PGHW briefly introduced, relationship between power spectral density (PSD) stochastic process corresponding coefficient given. Next, wavelet-Galerkin study MDOF system, a set algebraic equations can be obtained get response. quasi-Newton selected solve these equations. It more efficient than Newton because Davidon-Fletcher-Powell (DFP) algorithm approximate Jacobian matrix iterative process. Then, displacement estimated (EPSD) by using solved coefficient. Finally, numerical examples single-degree-of-freedom (SDOF) systems are shown prove feasibility efficiency.