Stability of nonconservatively elastic systems using eigenvalue sensitivity
Abstract
The stability of a cantilever column, carrying a concentrated mass at the free end and resting on an elastic foundation of the Winklertype, subjected to uniformly distributed inplane follower forces is studied by Timoshenko beam theory finite elements. In order to more quickly and efficiently obtain the critical load for such a nonconservative system, a simple and costeffective numerical technique which utilizes the eigenvalue sensitivity with respect to the follower force is introduced instead of the conventional trialanderror technique. The high accuracy and rapid rate of convergence through the combination of the present finite element model and the solution technique are demonstrated with the numerical example given. The influence of some system parameters on the critical load is also discussed.
 Publication:

ASME Journal of Vibration Acoustics
 Pub Date:
 April 1994
 Bibcode:
 1994ATJVA.116..168C
 Keywords:

 Cantilever Beams;
 Critical Loading;
 Eigenvalues;
 Elastic Properties;
 Finite Element Method;
 Sensitivity;
 Systems Stability;
 Timoshenko Beams;
 Convergence;
 Cost Effectiveness;
 Mathematical Models;
 Structural Mechanics