Numerical methods for modal analysis of stepped piezoelectric beams

C. Maurini, Maurizio Porfiri, J. Pouget

Research output: Contribution to journalArticle

Abstract

This paper analyzes different numerical methods for modal analysis of stepped piezoelectric beams modeled by the Euler-Bernoulli beam theory. Results from standard numerical approaches, that rely on the discretization of the stepped beam (assumed modes and finite-element methods), are compared with the solution of the exact transcendental eigenvalue problem for the infinite dimensional system. An accurate and manageable novel method, that enriches the assumed modes basis functions with special jump functions, is presented. Numerical results are compared with experimental data and the accuracy of the adopted beam model is validated.

Original languageEnglish (US)
Pages (from-to)918-933
Number of pages16
JournalJournal of Sound and Vibration
Volume298
Issue number4-5
DOIs
StatePublished - Dec 22 2006

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Modal analysis
Numerical methods
Euler-Bernoulli beams
Finite element method
finite element method
eigenvalues

ASJC Scopus subject areas

  • Engineering(all)
  • Mechanical Engineering

Cite this

Numerical methods for modal analysis of stepped piezoelectric beams. / Maurini, C.; Porfiri, Maurizio; Pouget, J.

In: Journal of Sound and Vibration, Vol. 298, No. 4-5, 22.12.2006, p. 918-933.

Research output: Contribution to journalArticle

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