Eigenvalue analysis for 2-D piezoelectric problems by the time-harmonic BEM

M. Denda, Y. Araki

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

Abstract

We present the direct formulation of the time-harmonic Boundary Element Method (BEM) for two-dimensional piezoelectric solids that uses the fundamental generalized displacement solution obtained by the Radon transform. We apply the BEM to the eigenválue analysis for piezoelectric materials. In the eigenvalue problem we encounter full non-symmetric complex-valued matrices whose components depend nonlinearly on the frequency. We test two algorithms, the QZ algorithm and the implicitly restarted Arnoldi method (IRAM), as the nonlinear eigenvalue solvers to recommend the IRAM which is faster and has more control over the solution procedure than the QZ algorithm.

Original languageEnglish (US)
Title of host publicationMechanics of Electromagnetic Material Systems and Structures
EditorsY. Shindo
PublisherWIT Press
Pages261-268
Number of pages8
ISBN (Print)1853129208
StatePublished - 2003
EventMechanics of Electromagnetic Material Systems and Structures - Blacksburg, VA, United States
Duration: Jun 23 2003Jun 28 2003

Other

OtherMechanics of Electromagnetic Material Systems and Structures
Country/TerritoryUnited States
CityBlacksburg, VA
Period6/23/036/28/03

All Science Journal Classification (ASJC) codes

  • General Engineering

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