Yeadon M R, Mikulcik E C
Department of Sports Science, Loughborough University, U.K.
J Biomech. 1996 Oct;29(10):1341-8. doi: 10.1016/0021-9290(96)00034-6.
Theoretical analyses have shown that rotations of a rigid body about the principal axis corresponding to the intermediate principal moment of inertia are unstable. This poses a potential problem for gymnasts who perform double somersaults without twist in a layout configuration. A computer simulation model is used to investigate configurational strategies for controlling such movements. It is shown that the build up of twist is not reduced by abduction of the arms but can be controlled by adopting a configuration with sufficient body flexion. For somersaults with a straight body, control in the form of asymmetrical arm abduction accelerations, based upon twist angular velocity and angular acceleration, is capable of preventing a build up of twist providing that the feedback time delay is less than a quarter somersault.
理论分析表明,刚体绕对应于中间主转动惯量的主轴的转动是不稳定的。这给在直体姿势下进行无转体的双翻腾动作的体操运动员带来了潜在问题。使用计算机模拟模型来研究控制此类动作的构型策略。结果表明,手臂外展并不能减少转体的增加,但可以通过采用具有足够身体弯曲的构型来控制。对于直体翻腾动作,基于转体角速度和角加速度的不对称手臂外展加速度形式的控制,只要反馈时间延迟小于四分之一翻腾周期,就能够防止转体的增加。