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Parallel finite element analysis of high frequency vibrations of quartz crystal resonators on Linux cluster

Parallel finite element analysis of high frequency vibrations of quartz crystal resonators on... Abstract Quartz crystal resonators are typical piezoelectric acoustic wave devices for frequency control applications with mechanical vibration frequency at the radio-frequency (RF) range. Precise analyses of the vibration and deformation are generally required in the resonator design and improvement process. The considerations include the presence of electrodes, mountings, bias fields such as temperature, initial stresses, and acceleration. Naturally, the finite element method is the only effective tool for such a coupled problem with multi-physics nature. The main challenge is the extremely large size of resulted linear equations. For this reason, we have been employing the Mindlin plate equations to reduce the computational difficulty. In addition, we have to utilize the parallel computing techniques on Linux clusters, which are widely available for academic and industrial applications nowadays, to improve the computing efficiency. The general principle of our research is to use open source software components and public domain technology to reduce cost for developers and users on a Linux cluster. We start with a mesh generator specifically for quartz crystal resonators of rectangular and circular types, and the Mindlin plate equations are implemented for the finite element analysis. Computing techniques like parallel processing, sparse matrix handling, and the latest eigenvalue extraction package are integrated into the program. It is clear from our computation that the combination of these algorithms and methods on a cluster can meet the memory requirement and reduce computing time significantly. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Solida Sinica" Springer Journals

Parallel finite element analysis of high frequency vibrations of quartz crystal resonators on Linux cluster

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Publisher
Springer Journals
Copyright
2008 The Chinese Society of Theoretical and Applied Mechanics and Technology
ISSN
0894-9166
eISSN
1860-2134
DOI
10.1007/s10338-008-0866-6
Publisher site
See Article on Publisher Site

Abstract

Abstract Quartz crystal resonators are typical piezoelectric acoustic wave devices for frequency control applications with mechanical vibration frequency at the radio-frequency (RF) range. Precise analyses of the vibration and deformation are generally required in the resonator design and improvement process. The considerations include the presence of electrodes, mountings, bias fields such as temperature, initial stresses, and acceleration. Naturally, the finite element method is the only effective tool for such a coupled problem with multi-physics nature. The main challenge is the extremely large size of resulted linear equations. For this reason, we have been employing the Mindlin plate equations to reduce the computational difficulty. In addition, we have to utilize the parallel computing techniques on Linux clusters, which are widely available for academic and industrial applications nowadays, to improve the computing efficiency. The general principle of our research is to use open source software components and public domain technology to reduce cost for developers and users on a Linux cluster. We start with a mesh generator specifically for quartz crystal resonators of rectangular and circular types, and the Mindlin plate equations are implemented for the finite element analysis. Computing techniques like parallel processing, sparse matrix handling, and the latest eigenvalue extraction package are integrated into the program. It is clear from our computation that the combination of these algorithms and methods on a cluster can meet the memory requirement and reduce computing time significantly.

Journal

"Acta Mechanica Solida Sinica" – Springer Journals

Published: Dec 1, 2008

Keywords: Theoretical and Applied Mechanics; Surfaces and Interfaces, Thin Films; Classical Mechanics

References

  • Proceedings of the 32nd Annual Symposium on Frequency Control
    Lee,P.C.Y., Zee,C. and Brebbia,C.A., Thickness-shear, thickness-twist, and flexural vibration of rectangular AT-cut quartz plates with patch electrodes. In
  • Proceedings of the 40th IEEE Annual Symposium on Frequency Control
    Yong,Y.-K., Three-dimensional finite element solution of the Lagrangean equations for the frequency-temperature behavior of Y-cut and NT-cut bars. In
  • A perturbation method for the finite element modeling of piezoelectric vibrations in quartz crystal resonators
    Y-K Yong, Z Zhang
  • On the accuracy of Mindlin plate predictions for the frequency-temperature behavior of resonator modes in AT- and SC-cut quartz plates
    Y-K Yong, J Wang, T Imai
  • Estimation of quartz resonator Q and other figures of merit by an energy sink method
    Y-K Yong, MS Patel, M Tanaka
  • Effects of Thermal Stresses on the Frequency-Temperature Behavior of Piezoelectric Resonators
    Y-K Yong, M S Patel, M Tanaka
  • International Frequency Control Symposium and Exposition, 22 September
    Yong,Y.-K., Patel,M.S., Srivastava,S., Tanaka,M. and Imai,T., The impact of finite element analysis on the design of quartz resonators. In
  • Simulation of Piezoelectric Devices by Two- and Three-Dimensional Finite Elements
    R Lerch
  • Design sensitivity analysis and topology optimization of eigenvalue problems for piezoelectric resonators
    Y Ha, S Cho
  • Finite element analysis of the piezoelectric vibrations of quartz plate resonators with higher-order plate theory
    J Wang, Y-K Yong, T Imai
  • A new theory for electroded piezoelectric plates and its finite element application for the forced vibration of quartz crystal resonators
    J Wang, J-D Yu, Y-K Yong, T Imai
  • Higher-order theories of piezoelectric plates and applications
    J Wang, JS Yang
  • IEEE International Ultrasonics Symposium, 1878–1881
    Wang,J., Hu,W., Zhao,W., Du,J.K. and Huang,D., Finite element analysis of quartz crystal resonators with Mindlin plate theory and parallel computing techniques on computer clusters. In
  • A finite element analysis of frequency-temperature relations of AT-cut quartz crystal resonators with higher-order Mindlin plate theory
    J Wang, J-D Yu, Y-K Yong, T Imai
  • An Introduction to the Mathematical Theory of Vibrations of Elastic Plates
    R D Mindlin
  • Using FEA to treat piezoelectric low-frequency resonators
    J Söderkvist
  • Finite element modelling of nanostructured piezoelectric resonators (NAPIERs)
    JEA Southin, RW Whatmore
  • IEEE International Frequency Control Symposium and Exposition, 596–599
    Wang,J., Zhao,W. and Bian,T., A method for the fast analysis of vibrations of Mindlin first-order plates for resonator design applications. In
  • Application of a DC-bias to reduce acceleration sensitivity in quartz resonators
    Y-K Yong, MS Patel
  • IEEE International Frequency Control Symposium, 1132–1136
    EerNisse,E.P. and Puccio,D., Suppression of the B-mode in SC-Cuts. In
  • Force-frequency coefficient of symmetrical incomplete circular quartz crystal resonator
    Z Wang, H Zhu, Y Dong, J Wang, G Feng
  • IEEE International Frequency Control Symposium, 396–400
    Pao,S.Y., Chao,M.K., Lam,C.S. and Chang,P.Z., An efficient numerical method in calculating the electrical impedance different modes of AT-cut quartz crystal resonator. In
  • IEEE International Ultrasonics Symposium, 1848–1852
    Pao,S.Y., Chao,M.K., Chiu,C.H., Lam,C.S. and Chang,P.Z., Beveling AT-cut quartz resonator design by an efficient numerical method. In
  • IEEE International Frequency Control Symposium, 793–801
    Patel,M.S., Yong,Y.-K., Tanaka,M. and Imai,T., Drive level dependency in quartz resonators. In
  • //www.caam.rice.edu/software/ARPACK/
    Lehoucq,R.B., Sorensen,D.C., Maschhoff,K. and Yang,C., ARPACK Software. [
  • [2008-7-16]
    Lehoucq,R.B., Sorensen,D.C., Vu,P.A. and Yang,C., ARPACK
  • //www.caam.rice.edu/kristyn/parpack_home.html
    Lehoucq,R.B., Maschhoff,K., Sorensen,D.C. and Yang,C., Parallel ARPACK Home Page. [
  • P_ARPACK: An efficient portable large scale eigenvalue package for distributed memory parallel architectures
    D. C. Sorensen
  • //www.netlib.org/blas/
    BLAS
  • //www.netlib.org/lapack/
    LAPACK
  • [2008-7-16]
    Saad,Y., A basic tool-kit for sparse matrix computations
  • High performance sparse static solver in finite element analyses with loop-unrolling
    P Chen, D Zheng, S Sun, M Yuan
  • Sparse algorithms for indefinite system of linear equations
    P Chen, H Runesha, DT Nguyen, P Tong, TYP Chang
  • [2008-7-16]
    Portable, Extensible Toolkit for Scientific Computation
  • [2008-7-16]
    The Trilinos Project