Nonlinear Vibration of an Elastically Restrained Tapered Beam

S Karimpour, S.S Ganji, Amin Barari, Lars Bo Ibsen, G Domairry

Research output: Contribution to journalJournal articleResearchpeer-review

10 Citations (Scopus)

Abstract

This paper presents the analytical simulation of an elastically restrained tapered cantilever beam using the energy balance method (EBM) and the iteration perturbation method (IPM). To assess the accuracy of solutions, we compare the results with the harmonic balance method (HBM). The obtained results from EBM and IPM are in excellent agreement with HBM results. The results show that both methods can be easily extended to other nonlinear oscillations and it can be predicted that both methods can be found widely applicable in engineering and physics.
Original languageEnglish
JournalScience China Physics, Mechanics and Astronomy
Volume55
Issue number10
Pages (from-to)1925-1930
Number of pages6
ISSN1674-7348
DOIs
Publication statusPublished - 2012

Keywords

  • Energy Balance Method (EBM)
  • Iteration Perturbation Method (IPM)
  • Nonlinear Oscillation

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