• Title/Summary/Keyword: Kirchhoff′s lamina

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Application of Matched Asymptotic Expansion for Designing a Leading Edge of Super-cavitating Foil

  • Yim, Bo-hyun
    • Journal of Ship and Ocean Technology
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    • v.1 no.2
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    • pp.11-18
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    • 1997
  • The leading edge of a low-drag super-cavitating foil has been made to be thick enough by using a point drag which is supposed to be a linear model of the Kirchhoff lamina. In the present paper, the relation between the point drag and the Kirchhoff lamina is made clear by analyzing the cavity drag of both models and the leading edge radius of the point drag model and the lamina thickness of Kirchhoff\`s profile K. The matched asymptotic expansion is effectively made use of in designing a practical super-cavitating fool which is not only of low drag but also structurally sound. Also it has a distinct leading edge cavity separation point. The cavity foil shapes of trans-cavitating propeller blade sections designed by present method are shown.

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Electro-elastic analysis of piezoelectric laminated plates

  • Zhao, Minghao;Qian, Caifu;Lee, S.W.R.;Tong, Pin;Suemasu, H.;Zhang, Tong-Yi
    • Advanced Composite Materials
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    • v.16 no.1
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    • pp.63-81
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    • 2007
  • Based on the Kirchhoff hypothesis of normal-remain-normal, the present work analyses piezoelectric laminated plates, wherein poled piezoelectric laminae are transversely isotropic and function as actuators. A quadric electric field is induced inside a piezoelectric lamina under a given applied voltage and mechanical bending. The governing equations for the piezoelectric laminated plate derived from the principle of virtual work in terms of the electric enthalpy have the same forms as those for a conventional composite laminated plate. We use rectangular sandwich plates of Al/PZT/Al and PZT/Al/PZT with four simply supported edges to demonstrate the prediction of the maximum bending stress in the PZT layer. The analytic solutions are verified by three-dimensional finite element analysis.