Free Vibration of Radially Stiffened Annular Plate
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概要
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The free vibration of radially stiffened annular plates is studied by the Ritz method using a spline function as an admissible function for the deflection of the plates. The transverse deflection of the plate is written in a series of the products of the deflection function of a sectorial beam with small angle and the trigonometric function of angular coordinate. The frequency equation of the plate is derived from the conditions that the Lagrangian takes a stationary value. The deflection function of the sectorial beam is approximately expressed by a quintic spline polynomial, which satisfies the equation of flexural vibration of the beam at all points dividing the beam into smell elements and also the boundary conditions at both ends. The present method is applied to annular plates with radial stiffeners located at equal angular intervals on both surfaces of the plates. The natural frequencies and the mode shapes of the plates are calculated numerically, and the effects of the stiffeners on them are studied.
- 一般社団法人日本機械学会の論文
著者
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IRIE Toshihiro
Faculty of Engineering, Hokkaido University
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Aomura Shigeru
Graduate School Of Engineering Hokkaido University
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Irie Toshihiro
Faculty Of Engiineering Hokkaido University
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Yamada Gen
Faculty Of Engiineering Hokkaido University
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