A new theory for electroded piezoelectric plates and its finite element application for the forced vibrations of quartz crystal resonators

DOI10.1016/S0020-7683(99)00241-3zbMath0988.74027OpenAlexW1987705120MaRDI QIDQ1579811

Ji Wang, Tsutomu Imai, Yook-Kong Yong, Jiun-Der Yu

Publication date: 25 June 2002

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7683(99)00241-3

zbMATH Keywords

forced vibrationsfinite element formulationvariational approachelectric potentialfrequency spectrumMindlin theorymechanical displacementcapacitance ratioelectrical boundary conditionelectroded piezoelectric platepower series in thickness coordinatequartz crystal resonators

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Electromagnetic effects in solid mechanics (74F15)

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A two-dimensional analysis of surface acoustic waves in finite elastic plates with eigensolutions ⋮ A finite element analysis of frequency-temperature relations of AT-cut quartz crystal resonators with higher-order Mindlin plate theory

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