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Free vibration analysis for plates with arbitrary boundary conditions using a novel spectral-dynamic stiffness method

机译:使用新型谱动态刚度法对任意边界条件的板进行自由振动分析

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摘要

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.
机译:提出了一种用于任意边界条件的板自由振动分析的精确方法。这是通过将光谱方法集成到经典动态刚度方法中来实现的。该公式精确地满足了控制微分方程,并且在级联意义上满足了任意边界条件。 Wittrick-Williams算法通过多种出色的技术得到了增强,以获得解决方案。通过比较从其他方法获得的结果,证明了该方法的准确性和计算效率。最后,获得了数学和物理方面的见识,并针对板的自由振动分析的各种分析方法得出了重要的结论。 (C)2015 Elsevier Ltd.保留所有权利。

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