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International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2016016464
pages 255-272

NONLINEAR SYSTEM RESPONSE EVOLUTIONARY POWER SPECTRAL DENSITY DETERMINATION VIA A HARMONIC WAVELETS BASED GALERKIN TECHNIQUE

Fan Kong
School of Civil Engineering and Achitecture, Wuhan University of Technology, Wuhan, China
Ioannis A. Kougioumtzoglou
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, NY
Pol Spanos
Rice University
Shujin Li
School of Civil Engineering and Achitecture, Wuhan University of Technology, Wuhan, China

Краткое описание

A generalized harmonic wavelets (GHWs-) based statistical linearization technique is developed for determining the response evolutionary power spectral density (PSD) of nonlinear time-varying oscillators. Specifically, a recently derived GHWs-based input-output relationship for linear systems is utilized that circumvents the assumption/restriction of local stationarity inherent in earlier treatments of the problem. Next, this excitation-response relationship is extended via statistical linearization to account for nonlinear systems as well. This involves the concept of determining optimal equivalent linear elements corresponding to specific time and frequency bands, whereas the response evolutionary PSD is determined via an iterative scheme. Pertinent numerical examples and Monte Carlo simulation data are included as well for demonstrating the reliability of the technique.


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