Modal analysis of stepped piezoelectric beams

Maurizio Porfiri, Corrado Maurini, Joël Pouget

Research output: Chapter in Book/Report/Conference proceedingConference contribution


In this paper, we examine and compare four different techniques for modal analysis of stepped piezoelectric beams. The first technique is based on the solution of the exact transcendental eigenvalue problem, formulated in terms of the dynamic stiffness matrix. The other three techniques are based on the Galerkin method for obtaining a finite-dimensional version of the system. Besides the classical assumed modes method and finite-element method, we propose a novel enhanced version of the assumed modes method, which introduces special jump functions to enrich the standard basis functions.

Original languageEnglish (US)
Title of host publicationActive and Passive Smart Structures and Integrated Systems 2007
StatePublished - 2007
EventActive and Passive Smart Structures and Integrated Systems 2007 - San Diego, CA, United States
Duration: Mar 19 2007Mar 22 2007

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X


OtherActive and Passive Smart Structures and Integrated Systems 2007
Country/TerritoryUnited States
CitySan Diego, CA


  • Jump functions
  • Material discontinuities
  • Modal analysis
  • Stepped piezolectric beams
  • Writtick-Williams

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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