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Apparently the first closed-form solution of vibrating inhomogeneous beam with a tip mass

✍ Scribed by I. Elishakoff; V. Johnson

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
687 KB
Volume
286
Category
Article
ISSN
0022-460X

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✦ Synopsis

Whereas there are numerous papers on the free vibrations of beams of uniform or non-uniform crosssection carrying concentrated masses, the problem does not lend itself to the closed-form solution. Here such a solution is reported, apparently for the first time. The solution originally derived for the inhomogeneous beam without a concentrated mass is generalized to include a tip mass. The semi-inverse method is utilized, to achieve this goal.

πŸ“œ SIMILAR VOLUMES

Apparently the first closed-from solutio
Apparently the first closed-from solution of inhomogeneous elastically restrained vibrating beams
✍ Issac Elishakoff; Demetris Pentaras πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 141 KB

In this paper we consider free vibration of inhomogeneous Bernoulli–Euler beam which is clamped at one end and elastically restrained at the other. The closed-form solution is obtained for the beam of constant material density and constant cross-section but of modulus of elasticity, which varies in