A closed-form optimal tuning criterion for TMD in damped structures

The selection of optimum absorber parameters is of utmost importance in the case of vibration control by the tuned mass damper (TMD). This paper presents an alternative expression for the optimum tuning ratio of the TMD. It has been derived in closed-form, based on the 'fixed-point' theory of Den Hartog which had been proposed for the case of undamped structural systems. The present expression has the advantage of being applicable for damped structures. The values of the optimum tuning ratio have been derived from the expression proposed in this paper for different structural and damper parameters. These values of optimum tuning ratio have been compared with those obtained from existing theories as well as from those obtained numerically. A simulation study has also been carried out to examine the performance of the optimally designed TMD. Copyright (c) 2006 John Wiley & Sons, Ltd.