金康宁. 加劲板BEM—FEM耦联自由振动分析[J]. 工程力学, 1997, 14(2): 134-138.
引用本文: 金康宁. 加劲板BEM—FEM耦联自由振动分析[J]. 工程力学, 1997, 14(2): 134-138.
Jin Kangning. DYNAMIC ANALYSIS OF STIFFENED PLATES USING BEM FEM[J]. Engineering Mechanics, 1997, 14(2): 134-138.
Citation: Jin Kangning. DYNAMIC ANALYSIS OF STIFFENED PLATES USING BEM FEM[J]. Engineering Mechanics, 1997, 14(2): 134-138.

加劲板BEM—FEM耦联自由振动分析

DYNAMIC ANALYSIS OF STIFFENED PLATES USING BEM FEM

  • 摘要: 本文将加劲板分为薄板和结合梁(格栅)两部分,薄板部分用无奇点边界元法(BEM)处理,而格栅用有限元法(FEM)处理,分别建立各自的方程,然后根据板与梁之间的平衡和协调条件加以耦合,导出加劲板的自振特征方程,从而求解各阶频率和振型。本方法适用于任意形状、任意边界条件的加劲板,且精度良好。

     

    Abstract: In this paper, the dynamic analysis of stiffened plates is studied with coupling BEM with FEM. The thin plate component in a stiffened plate structure is analyzed with nonsingularity BEM, and the grid component in the structure is treated with FEM. The coupling-equations, i.e., eigen-equations are derived from the conditions of equilibrium and compatibility. The natural frequencies and the modes of vibration are calculated. The method is suitable for stiffened plates in arbitrary shapes with any boundary conditions, and easy to be programmed. Some examples are provided with the results of good accuracy.

     

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