深蹲动作下三连杆模型的对比分析
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武汉体育学院

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Comparative analysis of three-link model in squatting
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WUHAN SPORTS UNIVERSITY

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    摘要:

    目的:探讨三连杆模型用于深蹲动作互动动力学分析的合理性,明确三连杆模型与Visual3D计算关节力矩的差异来源。方法:选取8名受试者,通过Vicon获取深蹲动作运动学数据,采用拉格朗日第二类方程建立三连杆动力学方程,基于Mathematica编程计算获取关节力矩,与Visual3D下肢链节段模型计算结果进行对比分析,并采用复相关系数(Coefficient of Multiple Correlation, CMC)评价二者的相似程度。结果:8名受试者髋关节、膝关节CMC均大于0.85,踝关节CMC在0.5-0.85之间,三连杆动力学方程和Visual3D计算的关节力矩在髋关节和膝关节处高度相似,在踝关节处仅呈现中度相似性。结论:三连杆模型可用于深蹲动作进一步的环节互动动力学(Intersegmental Dynamics)分析,但应当考虑由GRF引起的互动力矩(外力矩)对踝关节力矩的影响。

    Abstract:

    Objective:To discusses the rationality of the calculation results of the three link model used in the dynamic analysis of squat motion interaction, and clarifies the source of the difference between the three link model and the visual 3D calculation of joint torque. Methods:8 subjects were selected to obtain the kinematic data of squat motion through Vicon. The second kind of Lagrangian equation was used to establish the three-link dynamic equation. The joint torque was calculated based on the Mathematica. The results were compared with the calculation results of Visual3D lower limb chain segment model, and the similarity between the two was evaluated by the coefficient of complex correlation (CMC). Results:The CMC of hip joint and knee joint of 8 subjects were greater than 0.85, and the CMC of ankle joint was between 0.5-0.85. The joint torque calculated by three-link dynamic equation and Visual3D was highly similar at hip joint and knee joint, and only showed moderate similarity at ankle joint. Conclusions:The three-link model can be used in the further analysis of interactive dynamics of squat, but the influence of interaction moment caused by GRF (external moment) on ankle torque should be considered.

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  • 收稿日期:2019-10-21
  • 最后修改日期:2019-11-26
  • 录用日期:2019-12-03
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