Novel Design Approach of a Nonlinear Tuned Mass Damper with Duffing Stiffness

Abstract

In practical engineering, a tuned mass damper (TMD) inherently exhibits nonlinear behavior owing to its large displacement or the application of a limiting stopper. This paper studies the control performance of a TMD when nonlinear behavior caused by nonlinear spring stiffness is taken into account for practical application. A new analysis and design method of a nonlinear TMD is proposed. Based on the analysis of the nonlinear TMD, a modified design of a nonlinear TMD is presented according to the jump frequency. The analytic solutions of the jump frequency that can be used to design the nonlinear TMD are obtained. The results of the simulation prove that the proposed design method considering the nonlinear behavior of the TMD will improve the control performance of the nonlinear TMD compared to the linear-based design method.