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Modal Analysis of Piezoelectric Devices in ACELAN
by
Victor A. Eremeyev
Rostov State University, Mathematical and Mechanical Department, Rostov State University, Zorge Street 5,Rostov-on-Don 344090, RUSSIA
Coauthors: Alexander V. Belokon (Rostov State University), Andrew V. Nasedkin (Rostov State University), Arkady N. Soloviev (Rostov State Technical University)
The paper presents the specialised finite element package ACELAN, which was developed in Rostov State University. The ACELAN is intended for solution of static and dynamic boundary value problems of acoustoelectroelasticity. One of important problem is the determination of natural frequencies and mode shapes of piezoelectric arrays. In this connection, some drivers of well-known package ARPACK are integrated in ACELAN to solve the generalised eigenvalue problems. This package is based on implicitly restarted Arnoldi/Lanczos methods for large-scale eigenvalue problems. These algorithms use only matrix-vector multiplication procedure without any transformations of initial matrices. The finite element models of the acoustoelectroelasticity lead to the generalised eigenvalue problems, which have some peculiarities. At first, the system of governing equations of the theory of piezoelectroelasticity includes the static equation of the electrodynamics. At second, the matrix has multiply zero eigenvalues, which are concerned with the construction motion as a rigid body. Other problems deal with the complicated block structure and a large dimension of matrices. Some block methods are proposed with regard to these features. The analysis of Test computations and comparison with results obtained with commercial finite element program ANSYS demonstrate efficiency and high accuracy of proposed methods.
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Date received: January 31, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeb-64.