An Investigation on the Nonlinear Free Vibration Analysis of Beams with Simply Supported Boundary Conditions Using Four Engineering Theories
The objective of this study is to present a brief survey on the geometrically nonlinear free vibrations of the Bernoulli-Euler, the Rayleigh, shear, and the Timoshenko beams with simple end conditions using the Homotopy Analysis Method (HAM). Expressions for the natural frequencies, the transverse d...
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Main Authors: | R. A. Jafari-Talookolaei, M. H. Kargarnovin, M. T. Ahmadian, M. Abedi |
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Format: | Article |
Language: | English |
Published: |
Wiley
2011-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2011/842805 |
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