Geometrically nonlinear free vibration of functionally graded beams

@inproceedings{ELMAGUIRI2016GeometricallyNF,
  title={Geometrically nonlinear free vibration of functionally graded beams},
  author={M. N. ELMAGUIRI and M. HATERBOUCH and Aboubakr Bouayad and O. OUSSOUADDI and ENSAM de Mekn{\`e}s},
  year={2016}
}
  • M. N. ELMAGUIRI, M. HATERBOUCH, +2 authors ENSAM de Meknès
  • Published 2016
In this paper, the large-amplitude free vibration of clamped immovable thin beams made of functionally graded materials (FGM) is investigated using the energy method and a multimode approach. The mathematical formulation is based on EulerBernoulli beam theory and von Karman geometric nonlinearity. It is assumed that the material properties of the FGM beam vary through the thickness direction according to a simple power law. The equations of motion are derived by applying Lagrange’s equations… CONTINUE READING