Buckling of an Elastically Restrained Elliptical Plate under Uniform Compression
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概要
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It is the object of this paper to study the stability of a complete elliptical plate restrained elastically against rotation along the boundary ellipse. On the basis of the ordinary thin plate theory, the buckling condition for the elliptical plate subjected to uniform compression in its middle plane is derived with use of trigonometric functions, hyperbolic functions, Mathieu functions and modified Mathieu functions which are the solutions of the equilibrium equation of a buckled plate. Theory is developed by paying attention to the orthogonal property of Mathieu functions. The lowest eigenvalues for the buckling mode symmetrical about both axes are presented in tables for a variety of aspect ratios, degrees of edge restraint and Poisson's ratios. Discussion of the degenerate case to a circular plate is also included.
- 一般社団法人日本機械学会の論文
著者
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Sato Kenzo
Department Of Engineerings And Information Science Akita University
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Sato Kenzo
Department Of Mechanical Engineering Tohoku University
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SATO KENZO
Department of biochemistry, Kawasaki Medical College
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