Variationally Consistent Higher-Order Analysis of Harmonic Vibrations of Laminated Beams

• Autores: Li Jun, Hua Hongxing
• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 37, Nº. 3, 2009, págs. 299-326
• Idioma: inglés
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• Resumen

  • An exact dynamic stiffness matrix is formulated for a generally layered composite beam on the basis of third-order shear deformation theory. The Poisson effect and the couplings among the axial, torsion, and bending deformations are incorporated in the one-dimensional beam model. The dynamic stiffness matrix is derived by using the analytical solutions of the governing differential equations of the beams in free vibration. The application of the dynamic stiffness method to investigate the influences of Poisson effect, material anisotropy, slenderness, and boundary condition upon the free vibration characteristics of the laminated beams is demonstrated.