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Differential quadrature method for vibration analysis of finite beams on nonlinear viscoelastic foundations

  • Shanghai University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper investigates finite beams resting on nonlinear viscoelastic foundations. Nonlinear foundation is assumed to be cubic. It studies free vibration and dynamic response of the beam subjected to a harmonic moving load. The differential quadrature (DQ) methods are applied directly to the governing equations. Based on the numerical solutions, the natural frequencies are obtained with discrete Fourier transform (DFT). The frequencies of nonlinear vibration are compared with the complex modal analysis method for the corresponding governing equations without nonlinear parts. The effects of system parameters on natural frequencies and dynamic response are numerically studied.

Original languageEnglish
Title of host publicationICNM 2013 - Proceedings of the 6th International Conference on Nonlinear Mechanics
EditorsZhe-Wei Zhou
PublisherDEStech Publications Inc.
Pages387-391
Number of pages5
ISBN (Electronic)9781605951096
StatePublished - 2013
Externally publishedYes
Event6th International Conference on Nonlinear Mechanics, ICNM 2013 - Shanghai, China
Duration: 12 Aug 201315 Aug 2013

Publication series

NameICNM 2013 - Proceedings of the 6th International Conference on Nonlinear Mechanics

Conference

Conference6th International Conference on Nonlinear Mechanics, ICNM 2013
Country/TerritoryChina
CityShanghai
Period12/08/1315/08/13

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