Ruby P, Hull M L, Hawkins D
Department of Mechanical Engineering, University of California, Davis 95616.
J Biomech. 1992 Jan;25(1):41-53. doi: 10.1016/0021-9290(92)90244-u.
The hypothesis which motivated the work reported in this article was that neglecting pure moments developed between the foot and pedal during cycling leads to a substantial error in computing axial and varus/valgus moments at the knee. To test this hypothesis, a mathematical procedure was developed for computing the three-dimensional knee loads using three-dimensional pedal forces and moments. In addition to data from a six-load-component pedal dynamometer, the model used pedal position and orientation and knee position in the frontal plane to determine the knee joint loads. Experimental data were collected from the right leg of 11 male subjects during steady-state cycling at 90 rpm and 225 W. The mean peak varus knee moment calculated was 15.3 N m and the mean peak valgus knee moment was 11.2 N m. Neglecting the pedal moment about the anterior/posterior axis resulted in an average absolute error of 2.6 N m and a maximum absolute error of 4.0 N m in the varus/valgus knee moment. The mean peak internal and external axial knee moments were 2.8 N m and 2.3 N m, respectively. The average and maximum absolute errors in the axial knee moment for not including the moment about an axis normal to the pedal were found to be 2.6 N m and 5.0 N m, respectively. The results strongly support the use of three-dimensional pedal loads in the computation of knee joint moments out of the sagittal plane.
本文所报道的研究工作背后的假设是,在骑行过程中忽略脚部与踏板之间产生的纯力矩会导致计算膝关节轴向力矩和内翻/外翻力矩时出现重大误差。为了验证这一假设,开发了一种数学程序,用于利用三维踏板力和力矩来计算三维膝关节负荷。除了来自六分量踏板测力计的数据外,该模型还使用踏板在额状面内的位置、方向以及膝关节位置来确定膝关节负荷。在11名男性受试者的右腿处于90转/分钟和225瓦的稳态骑行过程中收集了实验数据。计算得出的内翻膝关节平均峰值力矩为15.3牛·米,外翻膝关节平均峰值力矩为11.2牛·米。忽略踏板绕前后轴的力矩会导致内翻/外翻膝关节力矩的平均绝对误差为2.6牛·米,最大绝对误差为4.0牛·米。膝关节轴向内、外平均峰值力矩分别为2.8牛·米和2.3牛·米。未包含垂直于踏板轴的力矩时,膝关节轴向力矩的平均绝对误差和最大绝对误差分别为2.6牛·米和5.0牛·米。结果有力地支持了在矢状面之外计算膝关节力矩时使用三维踏板负荷。