建立基于广义Hamilton及Lie群理论的人体骨肌系统动力学方程

Biodynamic model of human musculoskeletal system based on the general Hamilton and Lie group theory

目的建立一种基于广义Arial及Arial群理论的人体骨肌系统动力学建模方法。方法首先,定义了人体骨肌系统的广义坐标,建立了人体骨肌系统Arial群位形流形;其次,在广义Arial动力学体系下建立了人体骨肌系统的动力学模型;最后,研究了该动力学模型的计算方法。结果给出了基于广义Arial及其群理论的人体骨肌系统动力学方程,并以一个举重动作为例进行了骨肌系统动力学算法分析。结论所提出的人体骨肌系统动力学方程能够有效真实地对人体骨肌系统进行动力学描述,为人体骨肌系统动力学分析提供了一种新方法。

Objective A biodynamic modeling method of human musculoskeletal system based on the general Hamilton and Lie group theory was proposed.Method First,the general coordinate and the Lie configuration manifold of human musculoskeletal system were defined.Second,the biodynamic model of human musculoskeletal system was constructed under the general Hamilton theory.In the end,the computer program of this new algorithm was developed.Result The biodynamic equations of human musculoskeletal system based on the general Hamilton and Lie group theorywere developed. Aweight lifting behavior＇s model based on this method was given as an example which proved this method valid. Conclusions The biodynamic equations in this paper could model the human musculoskeletal kinematic and kinetic behavior efficaciously and genuinely which provides a new method for human musculoskefetal biodynamic analysis.