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Anisotropic bending-torsion coupling for warping in a non-linear beam

✍ Scribed by S. Klinkel; S. Govindjee


Publisher
Springer
Year
2003
Tongue
English
Weight
313 KB
Volume
31
Category
Article
ISSN
0178-7675

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In this paper, the coupled flexural-torsional free and forced vibrations of a beam with tip and/or in-span attachments are studied. First, a mathematical model is established, which consists of a beam with several tip attachments, i.e, a tip mass of non-negligible dimensions, a linear spring groundi

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Exact explicit analytical expressions which give the natural frequencies and mode shapes of a bending}torsion coupled beam with cantilever end condition are derived by rigorous application of the symbolic computing package REDUCE. The expressions are surprisingly concise and very simple to use. By w