Sheets Alison L, Hubbard Mont
University of California, Davis, USA.
J Biomech. 2008 Nov 14;41(15):3139-44. doi: 10.1016/j.jbiomech.2008.08.027. Epub 2008 Oct 17.
A gymnast model and forward dynamics simulation of a dismount preparation swing on the uneven parallel bars were evaluated by comparing experimental and predicted joint positions throughout the maneuver. The bar model was a linearly elastic spring with a frictional bar/hand interface, and the gymnast model consisted of torso/head, arm and two leg segments. The hips were frictionless balls and sockets, and shoulder movement was planar with passive compliant structures approximated by a parallel spring and damper. Subject-specific body segment moments of inertia, and shoulder compliance were estimated. Muscles crossing the shoulder and hip were represented as torque generators, and experiments quantified maximum instantaneous torques as functions of joint angle and angular velocity. Maximum torques were scaled by joint torque activations as functions of time to produce realistic motions. The downhill simplex method optimized activations and simulation initial conditions to minimize the difference between experimental and predicted bar-center, shoulder, hip, and ankle positions. Comparing experimental and simulated performances allowed evaluation of bar, shoulder compliance, joint torque, and gymnast models. Errors in all except the gymnast model are random, zero mean, and uncorrelated, verifying that all essential system features are represented. Although the swing simulation using the gymnast model matched experimental joint positions with a 2.15cm root-mean-squared error, errors are correlated. Correlated errors indicate that the gymnast model is not complex enough to exactly reproduce the experimental motion. Possible model improvements including a nonlinear shoulder model with active translational control and a two-segment torso would not have been identified if the objective function did not evaluate the entire system configuration throughout the motion. The model and parameters presented in this study can be effectively used to understand and improve an uneven parallel bar swing, although in the future there may be circumstances where a more complex model is needed.
通过比较动作过程中实验测量和预测的关节位置,对高低杠下法准备摆动的体操运动员模型和正向动力学模拟进行了评估。杠模型是一个具有摩擦的杠/手界面的线性弹性弹簧,体操运动员模型由躯干/头部、手臂和两条腿段组成。髋部是无摩擦的球窝关节,肩部运动是平面的,通过并联弹簧和阻尼器近似模拟被动柔顺结构。估计了个体特异性身体节段的转动惯量和肩部柔顺性。跨越肩部和髋部的肌肉被表示为扭矩发生器,实验将最大瞬时扭矩量化为关节角度和角速度的函数。最大扭矩根据关节扭矩激活随时间的函数进行缩放,以产生逼真的运动。下山单纯形法优化激活和模拟初始条件,以最小化实验和预测的杠中心、肩部、髋部和脚踝位置之间的差异。比较实验和模拟性能可以评估杠、肩部柔顺性、关节扭矩和体操运动员模型。除体操运动员模型外,所有误差都是随机的、均值为零且不相关的,这验证了所有基本系统特征都已得到体现。尽管使用体操运动员模型的摆动模拟以2.15厘米的均方根误差匹配了实验关节位置,但误差是相关的。相关误差表明体操运动员模型不够复杂,无法精确再现实验运动。如果目标函数没有在整个运动过程中评估整个系统配置,就无法确定可能的模型改进,包括具有主动平移控制的非线性肩部模型和两段式躯干模型。本研究中提出的模型和参数可有效地用于理解和改进高低杠摆动,尽管未来可能存在需要更复杂模型的情况。