用人体平面刚体模型分析太极拳在水平、垂直、横向力作用下的力学原理

Analyze Taijiquan under Horizontal, Vertical, and Lateral Force by Rigid Plane Human Model

在对《用人体平面刚体模型分析太极拳在水平作用力下的力学原理》研究的基础上,进一步分析了太极拳在三维作用力下的力学原理,推导出更接近实际和具有普遍意义的稳定和失衡临界(失根和打滑)定量分析三大公式,给定了规范太极拳动作和技术的力学方法。以特例、算例、实例等不同形式具体计算和分析了弓步、坐步、分脚、弓步掤、坐步捋等太极拳基本技术动作的受力状况和失衡临界点,阐述了三大公式在不同情形下的运用方法,太极拳基本动作的力学原理和力学规范。甲乙双方推手,比的是功架的力学性能。"甲方坐步捋胜乙方弓步掤"是太极拳的经典结论。通过用三大公式对该结论作定量分析。数据表明轻者甲方可用"四两"将乙方的"千斤""拨"离平衡,重者甲方可将乙方发出一丈之外。三大公式为王宗岳的"耄耋能御众"找到了现代力学的基础。推手比的是技术,比的是如何运用合适的功架。三大公式为推手分析提供了定量工具。

proposed a rigid plane human body model under horizontal force. This paper expand the model under vector force with three components, and find three generic and realistic formulas of 'equilibrium' and 'unbalance critical condition'('root lost' and 'slippery') for numerical analysis. The model provides mechanical. The model is a mechanical method to normalize Taijiquan posture and technique. The model is used to analyze the mechanics of bow stance, sit stance, foot kick, bow stance bouncing, sit stance pull, etc. The method is demonstrate in various situation. Opponent A and B compete each other in push hand by the mechanical functionality of their postures. 'A's sit stance pulling beat B's bow stance bouncing' is the conclusion of the classical taiji theory. The three formulas are used to numerically analyze the conclusion. The math calculation shows that for least A can use 'four ounce' to 'deflect' B's 'thousand pound' out of balance, for most A can through B out for 3 meters. The three formulas found the mechanical foundation for master Wang Zongyue's quote 'Senior can defeat multiple opponents.' Push hand is a competition of the skills, of how to properly use the posture frame. The three formulas are the mathematical tools to analyze push hand.