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Review of the dynamic stiffness method for free-vibration analysis of beams

Banerjee, J. R. (2019). Review of the dynamic stiffness method for free-vibration analysis of beams. Transportation Safety and Environment, 1(2), pp. 106-116. doi: 10.1093/tse/tdz005

Abstract

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.

Publication Type: Article
Additional Information: This article has been accepted for publication in Transportation Safety and Environment. Published by Oxford University Press.
Publisher Keywords: Dynamic stiffness method, Wittrick-Williams algorithm, Free vibration analysis
Subjects: T Technology > TJ Mechanical engineering and machinery
Departments: School of Mathematics, Computer Science & Engineering > Engineering > Mechanical Engineering & Aeronautics
Date available in CRO: 16 Jul 2021 08:35
Date deposited: 16 July 2021
Date of acceptance: 13 July 2019
Date of first online publication: 19 November 2019
URI: https://openaccess.city.ac.uk/id/eprint/26447
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