An active vibration control system to monitor and suppress the human forearm tremor is proposed in this article. The forearm is modelled as a uniform flexible continuous beam supported by a pin joint and a rotational spring at one end, whereas the other end is free. The beam is covered with a layer of piezoelectric sensor on its top surface and a layer of piezoelectric actuator on its bottom surface to form a control system, through which a closed-loop active control paradigm is implemented for tremor suppression. The governing equation of motion is derived using the Hamilton principle as well as the Galerkin procedure, leading to a second-order ordinary differential equation in time. The vibration response of the structure to an external harmonic excitation, analogous to tremor, is obtained analytically, enabling parametric study of the control system for tremor reduction. Using the obtained analytical expression, the effects of various parameters such as the control gain, the piezoelectric coefficient and the dielectric constant on the vibration response are studied. The results indicated that the proposed active vibration control system is an effective tool for active vibration control. Increasing the control gain of the control system as well as the magnitude of the piezoelectric constant decreased the amplitude of vibration, whereas the dielectric constant of the piezoelectric material did not show to have a significant effect on the beam vibration. The obtained results will pave the way for further experimental exploration to take and fabricate the most appropriate piezoelectric material and to design an effective active vibration control system for tremor suppression in people with Parkinson’s disease.

本文提出了一种主动振动控制系统来监测和抑制人的前臂震颤。前臂建模为均匀的柔性连续梁，其一端由销钉接头和旋转弹簧支撑，而另一端是自由的。光束在其顶表面上覆盖有一层压电传感器，在其底表面上覆盖有一层压电致动器，以形成一个控制系统，通过该系统可实现闭环主动控制范例来抑制震颤。使用汉密尔顿原理和Galerkin程序导出运动的控制方程，从而及时生成了二阶常微分方程。通过分析获得结构对外部谐波激励（类似于震颤）的振动响应，可以对控制系统进行参数研究以减少震颤。使用获得的解析表达式，研究了诸如控制增益，压电系数和介电常数等各种参数对振动响应的影响。结果表明，所提出的主动振动控制系统是一种有效的主动振动控制工具。增加控制系统的控制增益以及压电常数的幅度会减小振动幅度，而压电材料的介电常数并未显示出对梁振动的显着影响。