Lee D V, Walter R M, Deban S M, Carrier D R
Department of Biology, 201 South Biology Building, University of Utah, Salt Lake City, UT 84112, USA.
J Exp Biol. 2001 Nov;204(Pt 22):3927-34. doi: 10.1242/jeb.204.22.3927.
The rotational inertia of an animal can be expected to influence directly its ability to execute rapid turning maneuvers. We hypothesized that a ninefold increase in rotational inertia would reduce maximum turning performance to one-ninth of control values. To test this prediction, we increased rotational inertia about the vertical axis of six human subjects and measured their ability to turn during maximum-effort jump turns. We measured the free moment about a vertical (i.e. yaw) axis as the subjects performed maximum-effort jump turns under three conditions: (i) unencumbered, (ii) wearing a backpack with a control weight and (iii) wearing a backpack of the same mass that increased the rotational inertia of the subject to 9.2 times that with the control weight. Rotational inertia measurements allowed us to estimate the angle turned during the take-off period (i.e. from jump initiation until the feet leave the ground) and the angular power and work of the maximum-effort turns. Surprisingly, the angle turned during take-off in the increased inertia trials was 44.7 % of that of the control trials, rather than the 10.9 % (9.2-fold reduction) expected on the basis of the increase in rotational inertia. When the subjects turned with increased rotational inertia, the maximum and mean torques exerted were, on average, 142 % and 190 %, respectively, of the values recorded during the control trials. Maximum torques during increased rotational inertia trials actually approached isometric maxima. In the increased rotational inertia trials, the angular impulse was 252 % of that of the control trials and the take-off period was 130 % of that of the control trials. By exerting larger torques over longer take-off periods, the subjects were able partially to compensate for the excess rotational inertia. In contrast to the observed changes in torque, maximum and mean angular power were highest in the unencumbered trials and lowest in the increased inertia trials. On the basis of a decreased ability to generate vertical force when turning and of our estimates of angular power, we speculate that the greater than expected turning performance was due (i) to adjustments in the pattern of muscle recruitment and (ii) to a reduction in the velocity of muscle shortening that resulted in increased muscle forces.
动物的转动惯量有望直接影响其执行快速转弯动作的能力。我们假设转动惯量增加九倍会将最大转弯性能降低至对照值的九分之一。为了验证这一预测,我们增加了六名人类受试者绕垂直轴的转动惯量,并测量了他们在全力跳跃转弯过程中的转弯能力。我们在三种情况下测量了受试者进行全力跳跃转弯时绕垂直(即偏航)轴的自由力矩:(i)无负重,(ii)背着具有对照重量的背包,(iii)背着相同质量的背包,该背包使受试者的转动惯量增加至对照重量时的9.2倍。转动惯量测量使我们能够估计起跳阶段(即从跳跃开始到双脚离开地面)转过的角度以及全力转弯的角功率和功。令人惊讶的是,转动惯量增加的试验中起跳阶段转过的角度是对照试验的44.7%,而非基于转动惯量增加所预期的10.9%(降低9.2倍)。当受试者以增加的转动惯量转弯时,平均而言,施加的最大扭矩和平均扭矩分别是对照试验记录值的142%和190%。转动惯量增加的试验中的最大扭矩实际上接近等长收缩最大值。在转动惯量增加的试验中,角冲量是对照试验的252%,起跳阶段是对照试验的130%。通过在更长的起跳阶段施加更大的扭矩,受试者能够部分补偿多余的转动惯量。与观察到的扭矩变化相反,无负重试验中的最大和平均角功率最高,转动惯量增加的试验中最低。基于转弯时产生垂直力能力的下降以及我们对角功率的估计,我们推测转弯性能高于预期的原因是:(i)肌肉募集模式的调整,以及(ii)肌肉缩短速度的降低,这导致肌肉力量增加。