OPTIMAL PARAMETERS OF MULTIPLE TUNED MASS DAMPERS FOR DAMPED PRIMARY SYSTEMBY FIXED POINT THEORY METHOD
Abstract
The fixed point theory has been applied to the optimal design of dynamic vibration absorbers parameters for undemped structure. With damped structure the installation of many dampers the same is often resolved by numerical methods. This paper uses the equivalent of the damped structure to undemped structure and the fixed point theory to optimize the parameters of the dynamic vibration absorbers. The approximate analytical expressions of the optimal damping ratio and the optimal tuning ratio for the same MTMD system are given. The results are applied to reduce vibration for the diesel engine model. The frequency response of MTMD and single TMS system is compared has shows that with the same mass ratio, the efficiency of MTMD systems and single TMD is similar. Time response of the primary system without TMD and with TMD clearly demonstrate the efficiency when using MTMD to reduce vibration for machines and structure.
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