Dynamics and vibration suppression of resting tremor based on inertial nonlinear energy sink

To effectively suppress resting tremor in the human arm, this paper proposes a vibration control method based on an inertial nonlinear energy sink (INES) and investigates its influence on the stability and vibration response of the arm joints. Firstly, based on the structure of the human arm and the tremor mechanism, the dynamic equations of the arm are established, and the influences of the biceps brachii muscle (BBM) and INES on arm stability are analyzed. Secondly, the harmonic balance method is used to derive the amplitude frequency response curve of the arm system, and the analytical results are verified by comparing the system responses obtained from the Runge-Kutta method under different excitation amplitude combinations. Then, the vibration suppression performance of different devices is compared, and the influence of the INES parameters on vibration reduction is analyzed. Finally, the non-dominated sorting genetic algorithm (NSGA-II) is used to solve the Pareto frontier of the INES system. The optimal parameters of the INES are determined by the ideal point method, and the optimization effect is evaluated based on the amplitude frequency response. The results show that INES can improve arm stability and effectively suppress the vibration response across the arm joints.