Weighted averaging technique for the design of dynamic vibration absorber installed in damped primary structures

Anh Dong Nguyen, Hai Quang Ninh, Nguyen Xuan Nguyen, Tra My Thi Phan

Abstract


The dynamic vibration absorber has been widely applied in various technical fields. In the case of using the tuned mass damper (TMD), the selection of optimum absorber parameters is extremely important. This paper presents a simple approach to determine a closed-form expression for the optimum tuning ratio of a TMD attachted to a damped primary structure. The result is obtained by using the equivalent linearization method based on the so-called weighted averaging technique proposed by the first author. The values of the optimum tuning ratio derived from the expression proposed in this paper is compared with those obtained numerically as well as the ones obtained from other authors. The comparison shows the reliability of the method given in this study.


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