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考虑足底压力反馈影响的人体平衡动力学分析

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随着社会老龄化的加剧,老年人防跌倒成为一项重要的研究课题。在此背景下,基于时滞系统动力学开展人体平衡研究,有助于加深对人体平衡机理的理解,为开发防跌倒辅助设备提供理论支持。本文建立了考虑足底压力反馈影响的单自由度倒立摆时滞反馈控制模型,针对足底压力反馈时滞、位移反馈时滞、速度反馈时滞为1∶2∶2的情况,讨论了系统关于位置反馈增益与速度反馈增益、时滞与足部扭转刚度以及时滞与足部反馈增益的稳定区域图,并考虑几何非线性和控制力矩饱和性的影响,以时滞为分岔参数,采用多尺度法进行了Hopf分岔分析。结果表明随着足部扭转刚度或足部反馈增益增大,临界反应时滞减小,系统出现超临界Hopf分岔。
Human Balance Dynamics Analysis Considering the Influence of Foot Pressure Feedback
With the increasing prevalence of social aging,the prevention of falls in the elderly has become an important research topic. In this context,it is of great significance to explore the human balance mechanism based on time delay system dynamics for the purpose of improving the balance ability of the elderly and providing theoretical support for the development of fall prevention aid equipment. In this paper,with the influence of foot pressure feedback into consideration,a single-degree-of-freedom invert-ed pendulum with time-delay feedback control model is established. For the case of the foot pressure feedback delay,position feedback delay and velocity feedback delay with a ratio of 1∶2∶2,the stable region diagrams of position feedback gain versus velocity feedback gain,time delay versus foot torsional stiffness and time delay versus foot feedback gain are discussed. Considering the influence of geometric nonlinearity and control torque saturation,Hopf bifurcation analysis is carried out with respect to time delay by the method of multiple scales. The results show that with the increase of the foot torsional stiffness or the foot feedback gain,the critical time delay decreases and supercritical Hopf bifurcations appear.

foot pressure feedbackstabilitytime delayHopf bifurcation

李威、张丽

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南京航空航天大学航空航天结构力学及控制全国重点实验室,南京 210016

足底压力反馈 稳定性 时滞 Hopf分岔

国家自然科学基金资助项目

12272167

2024

动力学与控制学报
中国力学学会 湖南大学

动力学与控制学报

CSTPCD
影响因子:0.446
ISSN:1672-6553
年,卷(期):2024.22(8)