Noble L, Eck J
Med Sci Sports Exerc. 1986 Feb;18(1):50-9.
Interior loading strategies to modify the location and size of the effective hitting area of aluminum softball bats were identified. The effects of these strategies on theoretically derived and empirically determined relevant mechanical parameters were compared. Loading strategies consisted of adding 315 g to the interior of three similar (790 g) aluminum softball bats: at the center of mass of the original bat (bat C); at the ends of the bat and distributed so that the center of mass was unchanged, (bat A); and at the ends of the bat and distributed so that the moment of inertia about the swing axis (I1) was the same as that of bat C (bat B). The following parameters were derived theoretically by considering the bat as a physical pendulum and empirically by observing the impact reaction impulse on the axis of suspension: moment of inertia about the suspension axis (I0); moment of inertia about the swing axis; distance from the suspension axis to the center of percussion; and the slope of the impact reaction impulse (P1) relative to the impact impulse (P) as a function of impact location. These values for each bat were compared. Both empirical and theoretically derived data indicated that: the center of percussion of bat B was farther away from the axis than bats A and C; the moment of inertia about the swing axis of bat A was much greater than that of bats B and C; and the slope of the impact reaction regression line as a function of impact location for bat B was significantly less than that of the other bats. Thus, the effective hitting area of bat B was moved toward the barrel end of the bat and enlarged without a substantial increase in the moment of inertia about the swing axis.
确定了用于改变铝制垒球棒有效击球区域位置和大小的内部加载策略。比较了这些策略对理论推导和实验确定的相关力学参数的影响。加载策略包括在三根相似的(790克)铝制垒球棒内部添加315克重物:添加在原始球棒的质心处(球棒C);添加在球棒两端并使其分布保持质心不变(球棒A);添加在球棒两端并使其分布以使绕摆动轴的转动惯量(I1)与球棒C相同(球棒B)。通过将球棒视为物理摆锤从理论上推导,以及通过观察悬挂轴上的冲击反应冲量从实验上确定以下参数:绕悬挂轴的转动惯量(I0);绕摆动轴的转动惯量;从悬挂轴到打击中心的距离;以及作为冲击位置函数的冲击反应冲量(P1)相对于冲击冲量(P)的斜率。比较了每根球棒的这些值。实验和理论推导数据均表明:球棒B的打击中心比球棒A和C离轴更远;球棒A绕摆动轴的转动惯量远大于球棒B和C;球棒B的冲击反应回归线作为冲击位置函数的斜率明显小于其他球棒。因此,球棒B的有效击球区域向球棒的棒头端移动并扩大,而绕摆动轴的转动惯量没有大幅增加。