Approximate solutions for a nonlinear transverse vibration of an elastically restrained tapered beam

Seher Durmaz*, Sezgin Altay Demirbag, Metin O. Kaya

*Corresponding author for this work

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

Abstract

This paper introduces the approximate solutions of the mathematical model of elastically restrained tapered beam. At the beginning of the study, the equation of motion is derived. The frequency-amplitude relation is deduced and numerically solved. Hamiltonian approach method is implemented to solve the established model. The numerical results for the first, the second and the third order approximations are further compared with the approximate analytical solutions for both small and large amplitude of oscillations, and a very good agreement is observed.

Original languageEnglish
Title of host publicationInternational Congress on Advances in Applied Physics and Materials Science, APMAS2011
Pages71-76
Number of pages6
DOIs
Publication statusPublished - 2011
Event1st International Congress on Advances in Applied Physics and Materials Science, APMAS2011 - Antalya, Turkey
Duration: 12 May 201115 May 2011

Publication series

NameAIP Conference Proceedings
Volume1400
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference1st International Congress on Advances in Applied Physics and Materials Science, APMAS2011
Country/TerritoryTurkey
CityAntalya
Period12/05/1115/05/11

Keywords

  • Hamiltonian approach method
  • high order Hamiltonian approach method
  • nonlinear frequency
  • Tapered beam

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