Accelerated Solutions for Transcendental Stiffness Matrix Eigenproblems

Article type: Review Article

Authors: Williams, F. W. | Kennedy, D.

Affiliations: Cardiff School of Engineering, University of Wales Cardiff, P.O. Box 917, Cardiff CF2 1XH, U.K.

Abstract: This article outlines many existing and forthcoming methods that can be used alone, or in various combinations, to accelerate the solutions of the transcendental stiffness matrix eigenproblems that arise when the stiffness matrix is assembled from exact member stiffnesses, which are obtained by solving the member differential equations exactly. Thus distributed member mass and/or the flexural effect of axial loading are incorporated exactly, and the solutions are the natural frequencies for vibration problems or the critical load factors for buckling problems.

DOI: 10.3233/SAV-1996-3407

Journal: Shock and Vibration, vol. 3, no. 4, pp. 287-292, 1996