A Method for Problems of Vibration, Deflection and Buckling of Rectangular Plates with Champed Edges

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  • 周辺固定長方形板の振動・たわみ・座屈問題の一解法
  • シュウヘン コテイ チョウホウケイバン ノ シンドウ タワミ ザクツモンダイ ノ イチカイホウ

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Abstract

The problem of rectangular plate with clamped edges is treated here by making use of the double Fourier cosine series. The principle of Energy Method is applied, thereby boundary conditions are considered as constrained conditions in the calculus of variations. Then, by the orthogonality of trigonometric functions, most of numerical calculations are carried out on tables, and many types or problems-free and forced vibrations, statical deflections, bucklings and others-can be solved easily.

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