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http://dx.doi.org/10.12989/csm.2018.7.5.635

Linear and nonlinear vibrations of inhomogeneous Euler-Bernoulli beam  

Bakalah, Ebrahim S. (Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals)
Zaman, F.D. (Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals)
Saleh, Khairul (Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals)
Publication Information
Coupled systems mechanics / v.7, no.5, 2018 , pp. 635-647 More about this Journal
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.
Keywords
vibration; inhomogeneous; Euler-Bernoulli beam;
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Times Cited By KSCI : 4  (Citation Analysis)
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