Post-critical behaviour of a uniform cantilever column subjected to a tip concentrated subtangential follower force with small damping

Abstract

Large deflection analysis of a uniform cantilever column under a tip concentrated subtangential follower force has been studied using the dynamic criterion. The problem is solved with a simple and reliable iterative numerical scheme. The eigencurve, post-critical load and corresponding coalescence frequency parameter wherever applicable for different values of the subtangential parameter and the tip angle of the column are presented. The post-critical loads are also determined by considering arbitrarily (vanishingly) small internal damping forces. It is noted that small damping has a destabilizing effect.