Free vibration analysis for plates with arbitrary boundary conditions using a novel spectral-dynamic stiffness method
Free vibration analysis for plates with arbitrary boundary conditions using a novel spectral-dynamic stiffness method
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DOI：
10.1016/j.compstruc.2015.11.005
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发表时间：
2016-02-01
影响因子：
4.7
通讯作者：
Banerjee, J. R.
中科院分区：
文献类型：
--
作者：
Liu, X.;Banerjee, J. R.
提出了一种分析任意边界条件下板的自由振动的精确方法。这是通过将谱法整合到经典的动刚度法中来实现的。该公式完全满足控制微分方程，并在级数意义上满足任意边界条件。Wittrick-Williams算法通过一些优雅的技术得到了改进。通过与其他方法计算结果的比较，验证了该方法的准确性和计算效率。最后，对各种板自由振动分析方法进行了数学和物理分析，得出了有意义的结论。(C) 2015 Elsevier Ltd.版权所有。
An exact method for free vibration analysis of plates with arbitrary boundary conditions is presented. This is achieved by integrating the spectral method into the classical dynamic stiffness method. The formulation satisfies the governing differential equation exactly and any arbitrary boundary conditions are satisfied in a series sense. The Wittrick-Williams algorithm is enhanced with several elegant techniques to obtain solutions. The exactness and computational efficiency of the method are demonstrated by comparing results obtained from other methods. Finally, mathematical and physical insights are gained and significant conclusions are drawn for various analytical methods for free vibration analysis of plates. (C) 2015 Elsevier Ltd. All rights reserved.