Rouhollah Hosseini - Ph. D. student, Department of Mechanical Engineering, University of Tehran, Tehran, Iran
Keikhosrow Firoozbakhsh - Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
Hossein Naseri - M. Sc. Student, Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

Because the underlying physiology of pathological tremor in a Parkinson's patient is not well understood, the existing physical and drug therapies have notbeen successful in tremor treatment. Different mathematical modeling of such vibration has been introduced to investigate the problem and reduce the existingvibration. Most of the models have represented the induced vibration as a sinusoidal wave for mathematical simplification. In this study, a more realisticmodel based on random vibration was used to attack the problem of tremor suppression. A simple approach for suppressing the tremor associated withParkinson's disease was presented. This paper was concerned with a multiobjective approach for optimum design of linear vibration absorber subject to random vibrations. Analytical expressions, for the case of non-stationary whitenoise accelerations, were also derived. The present approach was different from conventional optimum design criteria since it was based on minimizing displacement as well as accelerating variance of the main structure responses without considering performances required against discrepancy in response. Inthis study, in order to control the tremor induced on biomechanical arm modelexcited by non-stationary based acceleration random process, multi-objective optimization (MOO) design of a vibration absorber was developed and performed using modern imperialist competitive optimization algorithm formulti-objective optimization. The results demonstrated importance of this method and showed that multi-objective design methodology provided significant improvement in performance stability and giving better control of the design solution choice.

Parkinson's disease,Vibration absorber, Random vibrations, Imperialist competitive algorithm, Multi-objective optimization