This paper discusses a force control problem for a flexible Timoshenko arm. The effect of shear deformation and the effect of rotary inertia are considered in Timoshenko beam theory. Most of the research about force control of the flexible arm is based on Euler Bernoulli beam theory. There are a few researches about force control of the flexible arm using Timoshenko beam theory. The aim of the force control is to control the contact force at the contact point. To solve this problem, we propose a simple controller using Timoshenko beam theory. Finally, we describe simulation results using a numerical inversion of Laplace transform carried out to investigate the validity of the proposed controller for the force control problem. The results of the time response show the transverse displacement, the angle of deflection, the slider position, the rotational angle and the contact force toward the desired their values.
 Yuan, K. and Hu, C.-M. (1996) Nonlinear Modeling and Partial Linearizing Control of a Slewing Timoshenko-Beam. Trans. ASME Journal of Dynamic Systems, Measurement, and Control, 118, 75-83. http://dx.doi.org/10.1115/1.2801154
 White, M.H.D. and Heppler, G.R. (1996) Vibration of a Rotating Timoshenko Beam. Trans. ASME Journal of Vibration and Acoustic, 118, 606-613. http://dx.doi.org/10.1115/1.2888341
 Sasaki, M., Ueda, T., Inoue, Y. and Book, W.J. (2012) Passivity-Based Control of Rotational and Translational Timoshenko Arms. Advances in Acoustics and Vibration, 2012, Article ID: 174816. http://dx.doi.org/10.1155/2012/174816