STABILITY ANALYSIS OF A ROTATING MULTILAYER ANNULAR PLATE WITH A STATIONARY FRICTIONAL FOLLOWER LOAD

This paper is concerned with examining the critical rotational speeds of a annular laminated disk and instability due to the existence of a stationary frictional follower load. A refined higher order layerwise zigzag theory (RHOT) is used to derive the governing equations of moti on of a laminated disk. A four-node sector finite element incorporatin g RHOT is developed and applied for the stability analysis of a rotati ng multi-layer disk. The critical rotational speeds of a laminated dis k made of isotropic layers and a laminated disk made of polar-orthotro pic layers are calculated using the state-space method with respect to a moving frame and an inertial frame. The effect of a frictional foll ower load on the system stability is investigated using the frequency- speed diagram and the state-space method. It is found that the frictio nal follower load makes all forward modes with nodal diameters unstabl e over the entire relational speed range. Total Lagrangian kinematics with the modified Newton method is used in the solution finding proced ure. (C) 1997 Published by Elsevier Science Ltd.