On the Use of Beam Functions for Problems of Plates Involving Free Edges
On the Use of Beam Functions for Problems of Plates Involving Free Edges
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关于使用梁函数解决涉及自由边的板问题
DOI：
10.1115/1.3423720
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发表时间：
1975
期刊：
影响因子：
--
通讯作者：
S. M. Dickinson
中科院分区：
文献类型：
--
作者：
S. Bassily;S. M. Dickinson
论证了梁的振动振型在Ritz方法中用于自由边板弯曲问题的近似解的不足。假定了一组与光束模式形状有关的新函数，它允许更精确地处理这类板。文中给出了几个关于自由边板的静挠度和自由振动的数值算例，说明了新函数的适用性和准确性，并进一步说明了普通梁函数的不足。
The inadequacy of beam vibration mode shapes when used in the Ritz method to obtain approximate solutions for flexural problems concerning plates involving free edges is demonstrated. A new set of functions, related to beam mode shapes, is postulated which allows considerably more accurate treatment of such plates. Several numerical examples concerning static deflection and free vibration of plates involving free edges are examined and serve to illustrate the applicability and accuracy of the new functions and to further demonstrate the inadequacy of the ordinary beam functions.