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碰撞——理论力学的盲区

碰撞——理论力学的盲区

Abstract

碰撞是在自然、生活、运动和工程中广泛存在的力学现象。在简要回顾研究历史之后,本文概述了物体对心正碰撞的基本力学规律;同时指出理论力学的动力学部分提供的理论工具仅限于动量守恒和动量–冲量定理,对撞击力、撞击脉冲和能量损失这些重要的力学量均不能给出任何信息。接着介绍了在线弹性力学、接触力学和弹塑性力学等不同框架下对碰撞问题建立的力学模型,强调碰撞之后的恢复系数并不是材料常数,它同撞击速度密切相关。文章最后呼吁在力学基础教学改革中要弥补碰撞力学知识,帮助学生树立正确的概念。Collision is a kind of mechanical phenomena which widely exist in nature, people’s live, sports and engineering. After a brief review of historical development, the article summarizes the fundamental laws of collinear collision between two particles/bodies, and points out that the particle dynamics only provides us the law of momentum conservation and the momentum-impulse theorem, with no information on the magnitude and pulse shape of colliding force, or on energy loss during collision. The mechanical models of collision based on linear elasticity, contact mechanics and elastoplastic theory are respectively illustrated, indicating that the coefficient of restitution (COR) is not a material constant. Finally, the article calls for making up the knowledge of collision dynamics in the teaching reform of basic mechanics, so as to help students to establish correct concepts. © 2022, Chinese Academy of Mechanics. All rights reserved.

Country
China (People's Republic of)
Keywords

Collision, Energy loss, 碰撞, Coefficient of restitution, Colliding pulse, 恢复系数, 能量损失, 撞击脉冲, Theory of momentum, 531, 动量定理

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average