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碰撞是工程和生活中常见的力学现象,一些教材~([1,2])定义恢复系数e等于两球相碰时恢复冲量I′与压缩冲量I大小之比,即e=I′/T (1)e由两碰撞物体的性质而定。I′和I指沿法向的冲量(这里和以下的法向均指接触点的公法线方向)。另一些教材~([3,4])定义恢复系数e等于碰后与碰前的法向相对速度大小之比。即e=(U′_2-U′_1)/(U_1-U_2) (2)对于两球斜碰撞时,(1)、(2)式表法向分量,仍成
Collision is a common mechanical phenomenon in engineering and life. Some teaching materials ([1, 2]) define that the recovery coefficient e is equal to the ratio of the recovery impulse I ’to the compression impulse I when the two balls touch each other, that is e = I’ / T (1) e depends on the nature of the two colliding objects. I ’and I refer to the impulse in the normal direction (the normal direction here and below refer to the common normal direction of the contact point). Other textbooks (3,4) define the recovery factor e as the ratio of the normal relative velocity before and after impact. That is, e = (U’_2-U’_1) / (U_1-U_2) (2) For the two-ball oblique collision, the normal components of (1), (2)