This paper demonstrates, theoretically and experimentally, the feasibility of utilizing Shape Memory Actuators (SMA) in controlling the flexural vibrations of a flexible cantilevered beam. The beam dynamics are modeled, by using the finite element method, and integrated with the thermal and dynamic characteristics of the SMA to develop a mathematical model of the composite beam-actuators system. The model accounts for the effect of the actuators' physical and geometrical parameters on the elastic and the inertial properties of the beam-actuators system. An active computer-controlled prototype of the system is designed based on the mathematical model developed. The performance of the control system is evaluated, at different operating conditions, when the beam is subjected to step displacements. The results obtained demonstrate the potential of the SMA as viable means for damping out the vibration of flexible systems. © 1990.