Electronic Journal of Differential Equations, Vol. 2003(2003), No. 29, pp. 1-14. Title: Uniform stabilization for the Timoshenko beam by a locally distributed damping Authors: Abdelaziz Soufyane (UAE Univ., Al Ain, UAE) Ali Wehbe (Univ. Libanaise Faculte des Sciences) Abstract: We study the uniform stabilization of a Timoshenko beam by one control force. We prove that under, one locally distributed damping, the exponential stability for this system is assured if and only if the wave speeds are the same Submitted September 2, 2002. Published March 16, 2003. Math Subject Classifications: 35L55, 93C05, 93C20, 93D15, 93D20, 93D30. Key Words: Timohsenko beam; strong stability; non-uniform stability; uniform stability; Lyapunov function.