三质点非对心冲击的理论研究

摘要碰撞问题在生活中无处不在，军事中炮弹的发射，体育中的台球运动，交通事故中的车祸原因分析等都涉及到了碰撞问题。人们对碰撞过程的研究从未停止,现阶段人们的研究主要在于两质点非对心碰撞以及三质点的共线碰撞问题，本文将会尝试结合两者，在两质点非对心碰撞的研究基础上，再加一个质点，并建立顺次碰撞模型，对第三个质点的运动状态进行解析计算。三质点碰撞是两个过程，本研究的难点在于对碰撞过程情形的分类讨论，碰撞过程中每一组入射角（α，β）的反向滑动，粘滞，正向滑动之间先后两两组合，即9种情形的分析。质点最终运动状态只和碰撞时的入射角以及刚体之间的摩擦系数的大小有关，若是碰撞结构不对称或是质点质量不同，还会和结构的不对称系数β2以及质量比有关。其中摩擦系数决定了碰撞过程能否发生粘滞现象的关键参数。27595
关键词碰撞分析斜碰撞三质点粘滞顺次碰撞
毕业论文设计说明书外文摘要
Title Theoretical study on the impact of the three particles
Abstract
    The collision problem is ubiquitous in life, the launching of the artillery, the billiards movement in sports, the cause of the accident in traffic accident and so on.. The study of the collision course has never stopped. Now people during the period of the study mainly lies in the two particle non of collision and three particle collinear collision problem, this paper will try to combine both, in two particle non central collision research foundation, coupled with a particle, and the establishment of sequential collision model, of a third particle dynamic state analytical calculation.Three particle collision is two processes, the difficulty of this study lies in the discussion of the classification of collision process, collision process in each group incident angle (alpha, beta) reverse slip, viscous, forward slip between successively pairwise combinations, namely 9 kinds of situation analysis.About the size of the coefficient of friction between particle final state of motion and collision incident angle as well as rigid body, if collision asymmetric structure or is the mass of the particle is different, will and structural asymmetry coefficient beta 2 and quality than the. The coefficient of friction determines the key parameters of the process of the collision.
Keywords   Collision analysis Oblique collision Three particles Slip-stick     Collision in Order
目   次
1 绪论    1
2 理论模型及推导    3
2.1 三质点非对心冲击理论模型    3
2.2 碰撞过程理论分析    3
2.2.1 计算C1处相对速度的变化    3
2.2.3 各种滑动过程    7
2.2.4 第一阶段碰撞的末冲量与第二阶段碰撞的初速度    9
3 各种碰撞组合的数值计算    11
3.1 两个阶段碰撞都发生反向滑动    11
3.2 第一阶段碰撞发生反向滑动，第二阶段碰撞发生粘滞    11
3.3 第一阶段碰撞反向滑动，第二阶段碰撞发生单向滑动    11
3.4 其他情形    11
结论    12
致谢    13
参考文献14
1 绪论
碰撞作为一个十分常见的物理现象在人类生活中应用范围十分广泛，在军事领域，炮弹、子弹等用作攻击的弹药其发射过程以及杀伤作用就是由一个碰撞过程所引起的，交通事故发生后往往需要用到碰撞的理论知识对事故的原因进行分析从而确定责任人，体育运动中的台球就是一项典型的碰撞理论的应用。生活中对碰撞的应用可以说无处不在。三质点非对心冲击的理论研究:http://www.751com.cn/wuli/lunwen_22110.html