人体分布式动力学模型及其参数识别

Modeling and parameter identification of distributed parameter dynamics model for a human body

建立人体动力学模型获取人体自振频率是土木工程、机械工程、交通工程、航空航天、康复医学等许多领域的共性科学问题,以往研究最常采用的弹簧-质量块-阻尼器集中质量模型,与实际人体质量、刚度沿身高的分布式特性并不相符。本研究提出含有生物自驱力的人体分布参数动力模型,理论上推导了自振频率的表达式,并据此提出了基于步态测试技术的频率识别算法。组织了247名测试者进行步态试验,识别了每位测试者的人体刚度和自振频率,进一步研究了识别参数的概率分布特征,并通过与以往研究结果对比、不同年龄段统计分析等,多角度验证了所提模型的合理性和适用性。

Establishing human body dynamics model to obtain human natural vibration frequency is a common scientific challenge in various fields such as civil engineering,traffic engineering,aerospace,rehabilitation medicine and so on.The spring-mass-damper(SMD)model is most commonly used in previous studies,which actually is not consistent with the distribution characteristics of human mass and stiffness along the height.In this study,a distributed parameter dynamics model of the human body with a pair of biomechanical forces is proposed,and the analytical solution of human natural frequency is theoretically derived.Therefore,a fre⁃quency recognition method based on gait tests is proposed.247 subjects are organized to conduct gait tests,and their stiffness and natural frequency are identified.The rationality and applicability of the proposed model are verified from multiple perspectives:by fitting the probability distribution of results,comparing the results with other researches,and analyzing the results across different age groups.