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Thermal effects on the frequency response of piezoelectric crystals
In this paper we describe a solution strategy to determine the natural frequencies of piezoelectric crystals subject to moderate changes in temperature and a variety of boundary constraints. The finite element equations governing piezoelectricity are derived based upon a Galerkin formulation of the problem. Suitable assumptions are made to linearize the steady-state (static) problem leading to an iteration scheme that can be used to refine the solution and include non-linear geometric effects caused by deformation. The eigenvalue problem is cast in this perturbed state to allow more accurate prediction of resonant frequencies.
Date:
June 10, 1992
Creator:
Canfield, T. R.; Jones, M. T.; Plassmann, P. E. & Tang, M. S. H.
System:
The UNT Digital Library
Thermal effects on the frequency response of piezoelectric crystals
In this paper we describe a solution strategy to determine the natural frequencies of piezoelectric crystals subject to moderate changes in temperature and a variety of boundary constraints. The finite element equations governing piezoelectricity are derived based upon a Galerkin formulation of the problem. Suitable assumptions are made to linearize the steady-state (static) problem leading to an iteration scheme that can be used to refine the solution and include non-linear geometric effects caused by deformation. The eigenvalue problem is cast in this perturbed state to allow more accurate prediction of resonant frequencies.
Date:
June 10, 1992
Creator:
Canfield, T. R.; Jones, M. T.; Plassmann, P. E. (Argonne National Lab., IL (United States)) & Tang, M. S. H. (Motorola, Inc., Schaumburg, IL (United States))
System:
The UNT Digital Library