WIT Press


An Integral Equation Formulation Of The Coupled Vibrations Of Uniform Timoshenko Beams

Price

Free (open access)

Paper DOI

10.2495/BE970131

Volume

19

Pages

10

Published

1997

Size

589 kb

Author(s)

Masa. Tanaka & A.N. Bercin

Abstract

For an asymmetric cross section Timoshenko beam in free vibration, the transverse motions in the two perpendicular directions are coupled with both torsional motion around the axial direction and bending slopes about their planes, this phenomenon results in five coupled partial differential equations. In this study a boundary integral equation fonnulation of coupled vibrations of Timoshenko beams of open cross section with non-collinear shear center and centroid is presented. A new set of fundamental solutions of the problem is derived using the Hormander method. The natural frequencies are obtained and compared with the predictions on the Bemoulli-Euler beam theory. It is seen that the errors can be unacceptably large, especially for

Keywords