![Sample our Engineering & Technology journals, sign in here to start your access, latest two full volumes FREE to you for 14 days]({"type":"image" , "src" : "/sda/5933/TOC-Subject-Sample-2021-Engineering-Tech.jpg"})
ABSTRACT
The full nonlinear behavior of a spinning viscoelastic cantilever column carrying a tip mass in a gravitational field is studied using a linked model. The governing differential equations of motion are obtained for various constitutive relationships. It is shown that for small gravitational and/or rotational fields the equilibrium states of the system for both the Voigt material and the standard material tend to the vertical primary equilibrium path. However, if the gravitational and/or rotational forces are significant, a spinning column made of a Voigt material and one made of a standard material settle down along a secondary equilibrium path. For a column made of a Maxwell material or a Maxwell-Voigt material there is no bifurcation and the steady-state position of the column is below the horizontal line. Geometric imperfections are included in the systems, and catastrophe lines are obtained for the Maxwell and standard columns.
Notes
∗Communicated by F. Ziegler
