A moving frame is used to formulate a dynamic theory of the Timoshenko beam in plane. The advantage of using the moving frame is stressed from a computational point of view. The assumptions of finite rigid displacements and small relative displacements are employed. A shear locking problem encountered in the Timoshenko beam can be avoided in this formulation without using special techniques. The resulting equations of motion are integrated by the fourth-order Runge-Kutta method. An application of this formulation to planar flexible mechanisms is also discussed. It is shown that ordinary differential equations are derived even in the case of flexible links connected by a hinge. Numerical results show the validity and wide capability of the present formulation.
ASJC Scopus subject areas
- Civil and Structural Engineering
- Modelling and Simulation
- Materials Science(all)
- Mechanical Engineering
- Computer Science Applications