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人体手臂静止性震颤的负刚度吸振效果研究
引用本文:刘海平,?,刘庆生,韩东航,姜宇,吴鹤鸣. 人体手臂静止性震颤的负刚度吸振效果研究[J]. 湖南大学学报(自然科学版), 2024, 0(2): 227-235
作者姓名:刘海平  ?  刘庆生  韩东航  姜宇  吴鹤鸣
作者单位:[1.北京科技大学 机械工程学院,北京 100083;2.北京科技大学 顺德创新学院,广东 佛山 528300;3.北京大学 第三医院骨科,北京 100191;4.骨与关节精准医学工程研究中心,北京 100191;5.脊柱疾病研究北京市重点实验室,北京 100191;6.南京医科大学 附属南京医院(南京市第一医院),江苏 南京 210002]
摘    要:提出采用负刚度吸振器控制人体手臂静止性震颤的方法,以便有效减小传递到前臂的动态响应.首先,建立含负刚度吸振器的人体手臂耦合动力学模型;然后,推导得到各关节位置的幅频响应表达式,并采用序列二次规划算法给出负刚度吸振器的最优设计参数.利用最优设计参数分别计算得到正弦激励和随机激励对应耦合系统的动态响应曲线.为了便于对比,给出未安装负刚度吸振器和安装传统线性吸振器时人体手臂各关节的动态响应.计算结果表明,负刚度吸振器对人体手臂静止性震颤引起各关节的动态响应抑制效果显著优于传统线性吸振器.

关 键 词:负刚度动力吸振器;静止性震颤;参数优化;振动控制

Study on Negative-stiffness Absorbing Vibration Performance for Rest Tremor of Human Arm
LIU Haiping,?,LIU Qingsheng,HAN Donghang,JIANG Yu,WU Heming. Study on Negative-stiffness Absorbing Vibration Performance for Rest Tremor of Human Arm[J]. Journal of Hunan University(Naturnal Science), 2024, 0(2): 227-235
Authors:LIU Haiping  ?  LIU Qingsheng  HAN Donghang  JIANG Yu  WU Heming
Affiliation:[1.School of Mechanical Engineering,University of Science and Technology Beijing,Beijing 100083,China;2.Shunde Innovation School, University of Science and Technology Beijing, Foshan 528300,China;3.Peking University Third Hospital, Department of Orthopaedics, Beijing 100191,China;4.Engineering Research Center of Bone and Joint Precision Medicine, Beijing 100191,China;5.Beijing Key Laboratory of Spinal Disease Research, Beijing 100191,China;6.Nanjing First Hospital, Nanjing Medical University, Nanjing 210002,China]
Abstract:In this paper, a dynamic vibration absorber with negative stiffness (DVA-NS) is proposed to control the rest tremor of human arm in order to effectively reduce the dynamic response transmitted to the forearm. Firstly, the coupling dynamic model of human arm with DVA-NS is established. Then, the amplitude-frequency response expressions of each joint positions are derived, and the optimal design parameters of the DVA-NS are determined by using the sequential quadratic programming algorithm. On this basis, the above optimal design parameters are used to calculate the dynamic response curves under sinusoidal and random excitations, respectively. For ease of comparison, the dynamic responses of the coupling dynamic systems without the DVA-NS and with traditional linear dynamic vibration absorber (LDVA) are also presented, respectively. The calculation results show that the suppression effect on dynamic responses of different joints induced by the rest tremor of human arm by using the DVA-NS is significantly better than that of traditional LDVA.
Keywords:negative-stiffness dynamic vibration absorber;rest tremor;parameter optimization;vibration control
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