Arampatzis A, Brüggemann G P, Metzler V
German Sport University of Cologne, Institute for Athletics and Gymnastics, Germany.
J Biomech. 1999 Dec;32(12):1349-53. doi: 10.1016/s0021-9290(99)00133-5.
The goals of this study were to examine the following hypotheses: (a) there is a difference between the theoretically calculated (McMahon and Cheng, 1990. Journal of Biomechanics 23, 65-78) and the kinematically measured length changes of the spring-mass model and (b) the leg spring stiffness, the ankle spring stiffness and the knee spring stiffness are influenced by running speed. Thirteen athletes took part in this study. Force was measured using a "Kistler" force plate (1000 Hz). Kinematic data were recorded using two high-speed (120 Hz) video cameras. Each athlete completed trials running at five different velocities (approx. 2.5, 3.5, 4.5, 5.5 and 6.5 m/s). Running velocity influences the leg spring stiffness, the effective vertical spring stiffness and the spring stiffness at the knee joint. The spring stiffness at the ankle joint showed no statistical difference (p < 0.05) for the five velocities. The theoretically calculated length change of the spring-mass model significantly (p < 0.05) overestimated the actual length change. For running velocities up to 6.5 m/s the leg spring stiffness is influenced mostly by changes in stiffness at the knee joint.
(a) 弹簧-质量模型的理论计算长度变化(McMahon和Cheng,1990年。《生物力学杂志》23卷,65 - 78页)与运动学测量的长度变化之间存在差异;(b) 腿部弹簧刚度、踝关节弹簧刚度和膝关节弹簧刚度受跑步速度影响。13名运动员参与了本研究。使用“奇石乐”测力台(1000赫兹)测量力。使用两台高速(120赫兹)摄像机记录运动学数据。每位运动员以五种不同速度(约2.5、3.5、4.5、5.5和6.5米/秒)完成跑步试验。跑步速度会影响腿部弹簧刚度、有效垂直弹簧刚度和膝关节处的弹簧刚度。踝关节处的弹簧刚度在这五种速度下无统计学差异(p < 0.05)。弹簧-质量模型的理论计算长度变化显著(p < 0.05)高估了实际长度变化。对于高达6.5米/秒的跑步速度,腿部弹簧刚度主要受膝关节刚度变化的影响。