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The second spectrum of Timoshenko beam theory—Further assessment

✍ Scribed by N.G. Stephen

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
268 KB
Volume
292
Category
Article
ISSN
0022-460X

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✍ N.G. Stephen 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 268 KB

A review of contributions and views on the second spectrum of Timoshenko beam theory (TBT) over the past two decades, together with some new results, are presented. It is shown that the Timoshenko frequency equation factorises not solely for hinged–hinged end conditions, as is often claimed, but als

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The frequency equation of Timoshenko beam theory factorises for hinged–hinged end conditions, leading to a first and second spectrum of natural frequencies; the latter is largely inaccurate and can be isolated and disregarded. For the majority of other end conditions, when the frequency equation doe