扇形板の非線形強制振動

書誌事項

タイトル別名
  • センケイバン ノ ヒセンケイ キョウセイ シンドウ
  • Nonlinear Forced Vibrations of Rillg Sector Plates

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抄録

In this paper, the nonlinear response of ring sector plates subjected to harmonic loading is shown by using Berger's approximate equations describing the large deflections of plates. The supports of the plates are assumed immovable during bending and the resulting membrane stress is the source of nonlinearity in this problem. The application of a modified Galerkin method to solve the governing nonlinear partial differential equations yields a nonlinear ordinary differential equation, of which the solution is obtained approximately by using an iteration procedure. Numerical results are presented for various boundary conditions and various shape factors of ring sector plates. As a special case, the corresponding static bending with lateral load is also treated.

長崎大学工学部研究報告, (1), pp.69-75; 1971

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