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Nonlinear dynamic response to a moving force of timoshenko beams resting on pasternak foundations

  • Shanghai University

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

Abstract

The present paper investigates the convergence of the Galerkin method for the dynamic response of Timoshenko beams resting on nonlinear foundations with six parameters subjected to a moving concentrated load. The dynamic response of the beam is obtained via the fourth-order Runge-Kutta method. The effects of different truncation terms on the dynamical responses of the nonlinear vibration are discussed. For the first time, the convergence of the Galerkin truncation for investigating the vibration of Timoshenko beams resting on nonlinear foundations is investigated. The numerical investigation shows that the dynamical response of finite Timoshenko beams supported by nonlinear viscoelastic foundations needs about 150 terms' truncation. Furthermore, the dependence of the convergence of the Galerkin method on the system parameters is numerically studied.

Original languageEnglish
Title of host publicationICNM 2013 - Proceedings of the 6th International Conference on Nonlinear Mechanics
EditorsZhe-Wei Zhou
PublisherDEStech Publications Inc.
Pages352-355
Number of pages4
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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