On the Instability of the Free Elastic Rod with Non-linear Intrinsic Viscosity under the Action of the Follower Force

摘要

A homogeneous free viscoelastic rod with constant cross-section is under the action of the follower force which has constant value is considered. It is well-known that for elastic rod the critical value of the follower force is approximately equal to p(velence)109,7 (dimension free value). The main result consists of stability loss at presence of non-linear viscosity. The critical value of the follower force is p(velence)83,1.