When the serpentine inlet is running at the exit mach number ma ( subscript e ) = 0 . 45 , the total pressure recovery coefficient equals 0 . 90 , and synthesis distortion equals 13 . 85 % 本研究的蛇形进气道在出口马赫数为0 . 45时，总压恢复系数为0 . 90 ，综合畸变指数为13 . 85 % ，总压恢复较低，畸变较大，超出了一般航空发动机的承受范围。
It is clear that the scope of the coefficient is 0 < 1 form book [ 1 ] . so it is necessary to research the existence of horseshoe of the model for 0 < < 1 由文[ 1 ]及所引的一系列文献可知，弹跳球模型映射的恢复系数的范围为0 1 ，因此研究0 1时弹跳球模型的动力学性质特别是马蹄存在的条件十分必要。
The relevance functions between total pressure recover coefficient and the parameters ( mach number , angle of attack , flow coefficient , angle of sideslip ) for subsonic submerged inlet in turbojet and turbofan engine were investigated 摘要根据某埋入式进气道试验数据建立了计算埋入式亚声速进气道总压恢复系数的经验公式，表现为关于马赫数、流量系数、攻角、侧滑角的函数。
The results prove that : ( 1 ) when the mach number of the flow at the exit increases , the total pressure recovery decreases , and the circular steady total pressure distortion coefficient , turbulence intensity and synthesis distortion increase 研究结果表明： ( 1 )地面工作状态下，随着出口马赫数的增加，蛇形进气道出口截面的总压恢复系数不断下降，而稳态周向畸变指数、紊流度和综合畸变指数均上升，稳态径向畸变指数变化不大。
Firstly on the basis of summarizing the research results , this paper deeply discusses the calculating model to analyze the instantaneous motion state in the vehicle collision , the interrelation among the every moving mechanics parameters in the every phase of the collision 本文首先在总结前人研究的基础上，分析了车对车碰撞作用瞬间状态的计算模型及碰撞恢复系数与碰撞前、后速度的关系，介绍了gim轮胎理论模型的简化形式，建立了碰撞后车辆动力学模型。
On the basis of these results , the relations of total - pressure recovery coefficient or flow coefficient and flight mach number , angle of attack and the second movable wedge angle of the inlet have been founded by hypersurface fitting , then the mathematical model of the inlet is established 根据流场计算结果并利用超曲面拟合方法建立了进气道总压恢复系数、流量系数与飞行马赫数、进气道攻角及二级可调斜板角度之间的关系，由此得到了二元混压式超声速进气道数学模型。
In addition , guckenheimer and holmes spent a great of length to discuss it in the book [ 1 ] in 1983 . they gave the sufficient condition 5 that ensure the existence of the horseshoe of the model for = 1 and used numerical value method to discovered " stranfe attractor " for certain a ( for example : - 1 , - 6 ) where denote the colliding coefficient of restitution and the amplitude of the ball Guckenheimer和holmes在专著[ 1 ]中用了相当的篇幅讨论了弹跳球模型，当= 1时给出了存在马蹄的条件( 5 ) ，对某些( 1 )则仅用数值方法得到在一定条件下出现“奇异吸引子” (例如= 0 . 5 ， = 6 ) ，这里与分别表示小球的碰撞恢复系数和激振力振幅。
In this paper , we choose a reasonable basic area and a coordinate transform and give conditions that ensure the invariant set or hyperbolic invariant set exist in the bouncing ball model by using the mosers and zhou jianying ' s conditions respectively . thus , the existence of horseshoe of the bouncing ball model is solved effectively 本文对碰撞恢复系数为0 1的弹跳球模型，通过选取合理的基本区域和引入适当的坐标变换，分别利用moser条件和周建莹提出的一组微分条件，给出了弹跳球模型存在双曲不变集和不变集的条件，从而很好地解决了该模型马蹄的存在性问题。
With the development of automobile industry and road transportation ， the traffic accidents happen every day in the world and become a serious society problem the vehicle collision accidents are over 2 / 3 times as much as all traffic accidents they cause a large amount of social infuence and serious economic loss therefore ， it is urgent to study vehicle collision accidents comprehensively and systematically ， and the research also is the academic foundation to analyze and deal with traffic accident it is difficult to authenticate car velocity after traffic accident to dig over locate witness is right way mechanics is avaid tool in this field it is important to establish math model and this is precondition to calculate vehicle velocity firstly on the basis of summarizing the research results ， this paper deeply discusses the calculating model to analyze the instantaneous motion state in the vehicle collision , the interrelation among the every moving mechanics parameters in the every phase of the collision secondly ， according to the collinear collision and two - dimension collision and the restitution coefficient ， the paper estabishesthe post collision movement models it proves that these models are correct and valid thirdly ， this paper try to research reconstruction of road traffic accident and put forward the method on it 对交通事故的科学分析应是建立在正确的数学模型与计算机模拟技术基础上的定量分析，其基本条件就是要有能正确描述事故过程中汽车状态的数学模型，只有建立正确的数学模型，才能较准确地推定事故车辆的碰撞速度。所以建立正确地车辆碰撞模型和运动模型正是汽车事故再现的关键问题。本文首先在总结前人研究的基础上，深入地研究汽车碰撞理论，分析了车对车碰撞作用瞬间状态的计算模型及碰撞恢复系数与碰撞前、后速度的关系；其次，根据交通事故中最普遍的一维和二维碰撞的不同情况，采用恢复系数和滑动摩擦系数等概念，分别建立了碰撞后车辆动力学模型；第三，对汽车碰撞事故再现进行了初步研究，确定了车对车碰撞事故模拟计算和反推计算方法，并给出相应的模拟程序流程图。
