碰撞中动能损失与恢复系数的一般关系及其证明THE GENERAL RELATION BETWEEN KINETIC ENERGY LOSS AND COEFFICIENT OF RESTITUTION OF COLLISION AND ITS PROOF
黄亦斌
摘要(Abstract):
本文一般性地讨论了碰撞,得到了动能损失与恢复系数的一般关系,对常见的三个结论,即e=1等价于动能不变、e=0等价于动能损失最大,及动能改变ΔK∝(1-e~2),都给予了一般证明。此外,还给出了此类碰撞的核心特征——系统只有一个自由度,其具体条件是:碰撞只发生在一处地方,且为光滑碰撞和严格点碰撞,此外其他约束皆为理想约束。
关键词(KeyWords): 碰撞;恢复系数;自由度;严格点碰撞
基金项目(Foundation):
作者(Author): 黄亦斌
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