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Coupled Systems Mechanics Volume 7, Number 5, October 2018 , pages 635-647 DOI: https://doi.org/10.12989/csm.2018.7.5.635 |
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Linear and nonlinear vibrations of inhomogeneous Euler-Bernoulli beam |
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Ebrahim S. Bakalah, F.D. Zaman and Khairul Saleh
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| Abstract | ||
| Dynamic problems arising from the Euler-Bernoulli beam model with inhomogeneous elastic properties are considered. The method of Green\'s function and perturbation theory are employed to find the deflection in the beam correct to the first-order. Eigenvalue problems appearing from transverse vibrations of inhomogeneous beams in linear and nonlinear cases are also discussed. | ||
| Key Words | ||
| vibration; inhomogeneous; Euler-Bernoulli beam | ||
| Address | ||
| Ebrahim S. Bakalah, F.D. Zaman and Khairul Saleh: Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia | ||
