一维球链受纵向载荷冲击作用下的波动现象

摘要牛顿的恢复系数能很好的研究两质点的碰撞，但对于三个及三个以上的质点的碰撞过程很难通过恢复系数来描述，为此我们借用了球链的概念。球链是目前缓冲材料的一种重要构型，研究一维球链对于缓冲材料吸能能力的改进具有重要意义。我们通过对一维球链受纵向冲击后的分析得到动力学方程，推导方程的数值解可以得到各质点碰撞后的运动状态。然后我通过改变球链中小球数量，对不同长度球链受纵向冲击时的运动状状态做了理论推导，分别得到了不同质点数球链的位移函数图像，通过图像能很好的观察到受到冲击后球链中各个质点的运动状态。之后对不同质点球链的运动情况做了较为详细的对比。然后用 7 质点球链的数据计算出了速度波函数。通过这些工作，我们十分定量的算出了较短球链的分离时的运动状态，并且将球链中各质点的位移函数可视化。79555

毕业论文关键词球链动力学方程波函数纵向载荷

毕业设计说明书外文摘要

Title The phenomenon of the initial impulse wave generated by axial impact in one-dimensional granular chain

Abstract The collision of two points can be good studied by Newton recovery coefficient, but it’s difficult to describe the collision process with three or more than three particles by using the recovery coefficient, therefore, we introduce the concept of granular chain。 The granular chain is an important configuration of the current buffer material, the research on one-dimensional granular chain has important significance to improve the buffer material’s absorbing ability。 We can obtain the kinetic equation by analyzing the granular chain impacted by axial concussion, and the numerical calculation can help us understand the motion state of each particle。Then I analyzed some granular chains with different length and obtain the kinetic equations of them。From the equation we can got the figures of the displacement function。The figures can good show the motion state of each partical in the granclar chain。Besides that,I made many contrasts about the motion of different granular chains。What’s more,I calculated the velocity of the impulse wave equation with the data of the granular chain which has seven particles。From this,we can declude the motion state when the particle depart form the chain,and make the displacement function visible。

Keywords granular chain kinetic equation wave function axial impact

本科毕业设计说明书第 I 页

1 引言 1

1。1 研究背景 1

1。2 研究进展 1

1。3 我们的工作和创新 3

2 一维球链受纵向载荷冲击瞬态响应下的分析 4

2。1 模型的建立 4

2。2 一维球链动力学方程的建立及求解 4

2。3 对球链运动性质的分析 6

2。3。1 Matlab 流程框图 6

2。3。2 十质点球链的分析 7

2。3。3 七质点球链的分析一维球链受纵向载荷冲击作用下的波动现象:http://www.youerw.com/wuli/lunwen_92065.html