Vibrations of a Circular Plate Having Partly Clamped or Partly Simply Supported Boundary
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概要
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This paper deals with the flexural vibration s of a circular plate under various mixed boundary conditions. The mixed constraint conditions for the displacements of the plate on its circumference are formulated by means of the weighted residual method, and the corresponding dynamical boundary conditions are derived from the Lagrangian by the multiplier method in the calculus of variations. Numerical calculations are carried out for three examples ; one is of a circular plate clamped on part of its boundary and simply supported on the remainder, another, partly simply supported and partly free, and a third, partly clamped and partly free. an experiment is made on the last example, and the experimental values almost agree with the calculated values.
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著者
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Hirano Yoshitaro
Faculty Of Engineering Yamagata University
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Okazaki Katsutoshi
Faculty Of Engineering Yamagata University
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