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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)
  • Received : 2018.03.19
  • Accepted : 2018.08.27
  • Published : 2018.10.25

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.

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