Extension of equivalent linearization method to design of TMD for linear damped systems

The vibration absorber has been used in many applications since invented. In the case of vibration control by the tuned mass damper (TMD), the selection of optimum absorber parameters is extremely important. This paper presents a closed-form expression for the optimum tuning ratio of a TMD attached to a damped primary system. The result is obtained by using equivalent linearization method. The values of the optimum tuning ratio derived from the expression proposed in this paper have been compared with those obtained numerically as well as the results obtained from other authors. These values are reliable even the mass ratio of TMD to the primary structure and the structural damping ratio are quite high. A simulation study has also been carried out to illustrate the obtained results. Copyright (c) 2011 John Wiley & Sons, Ltd.