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THE EXACT AND APPROXIMATE MODELS FOR THE VIBRATING PLATE PARTIALLY SUBMERGED INTO A LIQUID

  • George V. Filippenko
  • Daniil P. Kouzov
Conference paper
  • 1.2k Downloads
Part of the Springer Proceedings in Physics book series (SPPHY, volume 111)

Abstract

The problem of free oscillations of the plate partially submerged into the layer of liquid is considered in the rigorous mathematical statement. The exact analytical solution of the problem is constructed. The eigen frequencies and the eigen functions of vibrating plate basing on analyses of exact solution are calculated. The influence of liquid’s level on eigen frequencies and on eigen functions is analysed.

Keywords

Contact Condition Helmholtz Equation Linear Algebraic Equation Acoustic Pressure Approximate Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2006

Authors and Affiliations

  • George V. Filippenko
    • 1
  • Daniil P. Kouzov
    • 1
  1. 1.Institute of Mechanical Engineering of Russian Academy of SciencesRussia

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