Min-max criterion to the optimal design of vibration absorber in a system with Coulomb friction and viscous damping

Abstract

In this paper, an optimal design of damped dynamic vibration absorber using minimax method for a primary system with Coulomb friction and viscous damping is presented. Meanwhile, to reduce sensitivity of the primary system response to the variations of the forcing frequency, a set of constraint equations that include the distribution characteristic of the resonant frequencies of the primary system is established for the optimal design. Effectiveness of the proposed design is illustrated through numerical simulations. The formulations and results in this paper extend previous results given by Den Hartog and Pennestri.