2-D time-harmonic BEM for general anisotropy applied to eigenvalue analysis of quartz resonators

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Abstract

The two-dimensional time-harmonic Boundary, Element Method (BEM) for the general anisotropy is presented and applied to the eigen frequency analysis of quartz resonators. The use of the time-harmonic fundamental solution provides a clean boundary only formulation of the BEM without domain integrals. The resulting eigenvalue problem, given by a full matrix with each element depending non-linearly on the frequency, is reduced to a generalized linear eigenvalue problem, which is solved by the QZ algorithm. Numerical results will be presented for elgenvalue analysis of quartz and will be compared with existing FEM and analytical solutions. The proposed BEM equals or surpasses the performance of the FEM in its accuracy.

Original languageEnglish (US)
Pages (from-to)671-679
Number of pages9
JournalProceedings of the Annual IEEE International Frequency Control Symposium
StatePublished - 2001
Event2001 IEEE International Symposium Frequency Control Symposium and PDA Exhibition - Seattle, WA, United States
Duration: Jun 6 2001Jun 8 2001

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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