coupled bi-planar motion of anelastically supported beam with shear resistant in -fill

In this paper,an exact dynaamic stiffness mmatrix is devel oped which de escribes the motion of a uniform beam with doubly asymmetric cross section that is supported on an elastic foundation the beam comprises a thin walled outer section that encloses and works compositely with a core of shear resistant in-fill material hamiltons principle is used to derive the partial differential equations governing the free vibration of the beam together with the associated natural boundary conditions. throughout the process the uniform distributionof mass in the member is accounted for exactly and thus necessitates the souluton of a transcendental eigenvalue problem.

Keywords:

elastic foundation , exact dynamic stiffness matrix , coupled flexural -torsional motion , thin-walled beams