Column Instability under Nonconservative Forces, with Internal and External Damping - - Finite Element Using Adjoint Variational Principles.

Abstract

Abstract : In conjunction with adjoint variational principles, two classical problems of elastic stability under nonconservative forces and under the internal and external damping are studied using the finite element technique. The solutions are formulated in the framework of Rayleigh-Ritz method. It is demonstrated that this approach is very effective for solutions of complicated nonconservative stability problems. The destabilizing effect of Ziegler due to internal damping, the extreme sensitive nature of stabilizing or destabilizing effects for very small internal or external damping parameters and for other ranges of such effects of practical interest have been obtained for these two problems and are presented in several sets of curves.