广义非线性、非定常力学理论及在粒子物理学中的应用  

Generalized Theory of Nonlinear and Unsteady Mechanics and Appliations in Partlcles Physics

作　　者：杨文熊[1] 

机构地区：[1]上海交通大学工程力学系

出　　处：《应用数学和力学》1995年第1期23-31,共9页Applied Mathematics and Mechanics

摘　　要：本文考虑自由质点作高速非定常运动时其动量出现的非线性效应可按Ｌａｕｒｅｎｔ级数展开并可得出非线性和非定常功量力完整表达式。高速度的非线性和非定常现象可进一步推广到质点的非线性和非定常运动学理论，这理论由第Ⅰ类Ｆｎｃｄｈｏｌｍ型积分方程所确定。另外，根据所得非线性、非定常动量可以导出非线性的力学方程、功和能量、质量和能量诸关系式。文章最后计算了粒子物理学中μ￣（±）介子和快中子运动的实验，所计算的结果完全被实验所证实。The present paper considers that the momentum of a high speed free particle motion appearing in nonlinear and unsteady effects may be extended by using Laurent series and their complete expressions are obtained. These phenomena also mayexpand to the theory of kinematics and may be determined by the first kind of Fredholm’s integral equation,In addition, accroding to the nonlinear, unsteady momentum the relations with the nonlinear mechanics equations, work done and energy,lnass alld energy r1lay be obtained. At last, this paper also calculates those resnlts which experimented with Mu mesons,?and fast neutrons motion in particles physics.thesc results calculated are in agrnMemeI1t with experilnents conlpletely。

关 键 词：广义非线性力学理论 特征速度 LAURENT级数 粒子物理学 Μ介子 快中子 

分 类 号：O572.2[理学—粒子物理与原子核物理]