GREEN FUNCTION MATRICES FOR ELASTICALLY RESTRAINED HETEROGENEOUS CURVED BEAMS

Abstract

Vibrations of heterogeneous curved beams have recently been investigated.The thesis and papers cited deal with, among others, the issue what effect the central load has on the vibration of pinned-pinned and fixed-fixed curved beams made of heterogeneous material. To find numerical solution, the authors determine the Green function matrices for pre-loaded beams. Then they reduce the eigenvalue problems, which yield the eigenfrequencies as a function of the load, to eigenvalue problems governed by a system of Fredholm integral equations. A similar investigation for elastically restrained heterogeneous curved beams is provided inthis article. The end-restraints are modeled by linear volute springs.