Review of the dynamic stiffness method for free-vibration analysis of beams
Review of the dynamic stiffness method for free-vibration analysis of beams
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DOI：
10.1093/tse/tdz005
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发表时间：
2019-11
影响因子：
2.2
通讯作者：
J. Banerjee
中科院分区：
文献类型：
--
作者：
J. Banerjee
本文综述了动刚度法在梁自由振动分析中的应用。DSM的历史发展，这已经发生了几个阶段，详细讨论了参考梁的自由振动问题。特别是，DSM在解决梁的自由振动问题，通过著名的Wittrick-Williams算法作为解决方案的技术的应用程序的适用性突出。本文首先回顾了关于均质各向同性金属梁的文献，并对DSM的发展进行了综述。然后，随着先进复合材料的迅速出现，讨论了DSM在求解各向异性梁自由振动问题中的发展。功能梯度梁的自由振动分析使用DSM也突出。该调查涵盖了DSM应用于各种梁的自由振动分析，包括夹层梁、旋转梁、扭转梁、移动梁和弯扭耦合梁等。作者和他的研究团队所做的贡献的一些方面也被强调。最后，DSM在解决复杂的工程问题的未来潜力进行了预测。
The application of the dynamic stiffness method (DSM) for free-vibration analysis of beams is surveyed in this paper. The historical development of the DSM, which has taken place in several stages, is discussed in detail with reference to the free-vibration problems of beams. In particular, the suitability of the DSM in solving the free-vibration problems of beams through the application of the well-known Wittrick–Williams algorithm as a solution technique is highlighted. The literature concerning homogeneous isotropic metallic beams, for which the DSM is well established, is reviewed first, after which, with the rapid and ongoing emergence of advanced composite materials, the development of the DSM in solving the free-vibration problems of anisotropic beams is discussed. The free-vibration analysis of functionally graded beams using the DSM is also highlighted. The survey covers the DSM application for free-vibration analysis of a wide range of beams, including sandwich beams, rotating beams, twisted beams, moving beams and bending-torsion coupled beams, amongst others. Some aspects of the contributions made by the author and his research team are also highlighted. Finally, the future potential of the DSM in solving complex engineering problems is projected.