Linear and nonlinear vibrations of inhomogeneous Euler-Bernoulli beam

Ebrahim S. Bakalah , F.D. Zaman , Khairul Saleh

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

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