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Solutions With Bifurcation Points For Free Vibration Of Beams: An Analytical Approach

✍ Scribed by R. Lewandowski


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
316 KB
Volume
177
Category
Article
ISSN
0022-460X

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✦ Synopsis


The amplitude-frequency relationship for beams in large amplitude free vibration at resonance is investigated. The backbone curve related to an internal resonance is considered by using the Galerkin method. The bifurcation points and both primary and secondary branches of the fundamental backbone curve are determined and discussed in detail. The physical meaning of the post-bifurcation part of this curve is also explained. A few examples of backbone curves with bifurcation points are presented.


📜 SIMILAR VOLUMES


FREE VIBRATION ANALYSIS OF A CANTILEVER
✍ J.-S. Wu; H.-M. Chou 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 268 KB

The natural frequencies and the corresponding mode shapes of a uniform cantilever beam carrying ''any number of'' elastically mounted point masses are determined by means of the analytical-and-numerical-combined method (ANCM). One of the key points for the present method is to replace each spring-ma