Finite elements for piezoelectric vibrations with open electric boundaries

  title={Finite elements for piezoelectric vibrations with open electric boundaries},
  author={E. E. Antonova and P Silvester},
  journal={IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control},
The problem of a piezoelectric body vibrating in the free space of infinite extent has been posed as a problem with open electric boundaries. A three-dimensional finite element analysis of piezoelectric vibrations has been complemented by the modeling of the external electrostatic field. The infinite exterior region that adheres to Laplace's equation is represented as a single "superelement" obtained by the ballooning of the outer boundary. The spectral transformation Lanczos method is used to… CONTINUE READING


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