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Radial vibration of a thick-shell hollow piezoceramic sphere

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Summary

A thick-shell hollow piezoceramic sphere electroded completely on both inside and outside surfaces and radially polarized can be used as a source and receiver of underwater sound. Restricting the analysis to moderately thick shells the electromechanical equations of displacement are solved to generate the frequency equation for the pure radial modes. The frequency equation is specialized to reflect the behavior of a barium-titanate shell and numerical values are tabulated for the first three frequencies for a broad range of shell thicknesses.

Zusammenfassung

Eine dickwandige Hohlkugel aus piezokeramischem Material, als Unterwasser-Schallsender und-empfänger verwendbar, trägt beidseitig einen Elektrodenbelag und ist radial polarisiert. Unter Beschränkung auf mäßige Wandstärke werden die elektromechanischen Verschiebungsgleichungen gelöst, um die Frequenzgleichung für die Radialschwingung zu erhalten. Dieser Frequenzgleichung wird für eine Bariumtitanat-Hohlkugel spezialisiert und es werden numerische Werte für die ersten drei Eigenfrequenzen innerhalb eines weiten Wandstärkebereiches angegeben.

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Authors and Affiliations

  1. Boeing Co., Seattle, Washington, U.S.A.

    P. W. Drenkow

  2. Thayer School of Engineering, Dartmouth College, Hanover, New Hampshire, U.S.A.

    C. F. Long

Authors
  1. P. W. Drenkow
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  2. C. F. Long
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Drenkow, P.W., Long, C.F. Radial vibration of a thick-shell hollow piezoceramic sphere. Acta Mechanica 3, 13–21 (1967). https://doi.org/10.1007/BF01193597

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  • DOI: https://doi.org/10.1007/BF01193597

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