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contributor authorBanerjee, J. R.
date accessioned2022-12-27T23:21:34Z
date available2022-12-27T23:21:34Z
date copyright8/10/2022 12:00:00 AM
date issued2022
identifier issn1048-9002
identifier othervib_144_6_064501.pdf
identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4288461
description abstractThe frequency-dependent mass and stiffness matrices of a Timoshenko–Ehrenfest beam are developed through extensive application of symbolic computation. Explicit algebraic expressions for the frequency dependent shape functions and each of the independent elements of the frequency-dependent mass and stiffness matrices are presented concisely. The ensuing frequency-dependent mass and stiffness matrices of the Timoshenko–Ehrenfest beam are applied with particular reference to the Wittrick–Williams algorithm to investigate the free vibration characteristics of an individual Timoshenko–Ehrenfest beam and a framework. The results are discussed with significant conclusions drawn. The proposed method retains the exactness of results like the dynamic stiffness method, but importantly, it opens the possibility of including damping in the analysis.
publisherThe American Society of Mechanical Engineers (ASME)
titleFree Vibration of Timoshenko–Ehrenfest Beams and Frameworks Using Frequency-Dependent Mass and Stiffness Matrices
typeJournal Paper
journal volume144
journal issue6
journal titleJournal of Vibration and Acoustics
identifier doi10.1115/1.4055133
journal fristpage64501
journal lastpage64501_7
page7
treeJournal of Vibration and Acoustics:;2022:;volume( 144 ):;issue: 006
contenttypeFulltext


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