VIBRATIONAL MOTION OF AN ELASTIC BEAM WITH PRISMATIC AND REVOLUTE JOINTS

A dynamic model for the vibrational motion of an elastic beam with pri smatic and revolute joints is presented. The Lagrangian approach in co njunction with the assumed modes technique is employed in deriving the equations of motion. The model developed accounts for all the dynamic coupling terms, as well as the stiffening effect due to the beam refe rence rotation. The tip mass dynamics is included together with the as sociated dynamic coupling between the modal degrees-of-freedom. In add ition, the dynamic model devised takes into account the gravitational effects, thus permitting motions in either vertical or horizontal plan es. Numerical simulations are performed and, whenever possible, compar isons with results of previous investigations are presented. (C) 1996 Academic Press Limited