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颗粒链中能量衰减系数的研究

发表时间:2011-08-15  浏览量:1415  下载量:589
全部作者: 陈琼,杨先清,王振辉,郭海萍,叶见兰,赵新印,吴芳芳
作者单位: 中国矿业大学理学院
摘 要: 用计算机模拟孤波入射不同材料小球组成颗粒链的动力学行为,采用五阶Rung�Kutta法对链中每个小球的运动微分方程进行求解,得到每个小球的速度变化情况和能量在颗粒链中的传递情况,发现入射孤波的能量大部分被限制在软球部分,且随着时间的推移该能量以幂指数形式衰减。选取420个半径相同、硬软球质量比为100∶1的小球组成的自由边界水平链为标准链(120硬球-180软球-120硬球),得到该链的能量衰减指数,之后通过改变硬、软球的半径比、质量比、排列方式以及软球个数等条件,研究不同颗粒链中能量衰减系数的变化情况,发现衰减系数γ在硬软球半径比为1∶1时最小,随软球个数的增多而增大,随分界面的增多而增大,随粘滞系数的增大而增大。
关 键 词: 理论物理学;衰减系数;五阶Rung�Kutta;颗粒链;能量耗散
Title: Study on energy attenuation coefficient in granular chain
Author: CHEN Qiong, YANG Xianqing, WANG Zhenhui, GUO Haiping, YE Jianlan, ZHAO Xinyin, WU Fangfang
Organization: College of Sciences, China University of Mining and Technology
Abstract: In this paper, the dynamics behavior of a solitary wave delivered in the granular chain which is made of different materials is studied by computer simulating. The equation of motion of each ball is solved by using a five�order Rung�Kutta formula. From the result about velocity changing of each ball and the energy transmitting, it is obtained that there is a universal power�low behavior in time for the leakage of the impulse energy confined inside various granular containers. The attenuation coefficient is got by choosing a horizontal free boundary chain as a standard chain which consists of 420 balls with the same radius and mass ratio 100∶1 (120 hard balls�180 soft balls�120 hard balls). Then the energy leaking within different chains is studied by changing radius ratio, mass ratio, arrangement way of the two kinds of particles, the number of soft balls and so on. The calculations suggest that the value of the exponent γ is smallest when the radius ratio is 1∶1, and increases with the increase of soft balls number, interface and friction coefficient.
Key words: theoretical physics; attenuation coefficient; five�order Rung�Kutta; granular chain; energy decay
发表期数: 2011年8月第15期
引用格式: 陈琼,杨先清,王振辉,等. 颗粒链中能量衰减系数的研究[J]. 中国科技论文在线精品论文,2011,4(15):1346-1351.
 
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