Dynamic Response of a Spinning Timoshenko Beam with General Boundary Conditions under a Moving Skew Force Using Global Assumed Mode Method

Abstract

In this study the global assumed mode method (GAMM) is used to analyze the dynamic behavior of a spinning Timoshenko beam subjected to a moving skew force with general boundary conditions. The moving skew force is usually caused by the frictional effect or the weight of the components. Considering three general geometric boundaries, i.e. hinged-hinged, clamped-clamped, and clamped-hinged, the system equations of motion are derived by the Lagrangian approach combining with the GAMM. The transient response of the system due to a moving skew force is evaluated by the Runge-Kutta method. The numerical results show that the lateral deflections due to the skew force for the hinged-hinged boundary case are smaller than those in the case of a clamped-clamped or clamped-hinged boundary. And the axial deflections due to the skew force are larger in the case of a hinged-hinged boundary.