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国家自然科学基金(10474045)

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垂直激励下颗粒物质涨落的实验研究
黄锴缪国庆张鹏恽毅魏荣爵
Study of two-section composite chain of beads under vertical vibration
2012年
We investigated the dynamic properties of a two-section composite chain of beads under vertical vibration.By analyzing the chain's motion,including phase-shift,mean dilation,center-of-mass displacement,and energy,we found that with different bead arrangements,the chain behaved in different ways.We believe that interaction existing at the interface between bead sections provides the underlying cause.This interaction causes different energy in different arrangements,which leads to different dynamic characteristics.
DING Mang MIAO GuoQing
关键词:动态特性
具有周期结构的垂直激励系统中颗粒物质隆起的形成和输运被引量:1
2007年
在外加垂直激励条件下,存在周期底部结构的槽中,实验观察到颗粒物质隆起的形成和输运.槽的底部结构有两种.一种为由10个矩形凸起构成的周期状.外加激励较弱时,槽中形成多个小隆起,其个数与底部凸起的个数相同,并且小隆起均位于底部凸起上方,与底部凸起一一对应.外加激励较强时,颗粒系统随着外加激励参数的变化呈现3种不同的状态,单个大隆起、大隆起加小波浪和大隆起加剧烈波浪.实验测量了这3种状态对频率f和加速度Γ的依赖关系.为了研究出现波浪现象时隆起内部的输运情况,在隆起中掺入示踪颗粒,用高速相机记录其运动轨迹,观察到隆起的内部存在着局部对流,而这是平底槽中所没有的.另一种底部结构为单一台阶状,实验观察到隆起向台阶方向输运的现象,我们认为气压差是该现象产生的主要原因.
张化王琪缪国庆
关键词:波浪输运气压
垂直激励下的二段复合颗粒链研究
2011年
实验研究了二段复合颗粒链在垂直振动激励下的动力学特性.通过对颗粒链整体的运动状态以及与之相关的相位差、膨胀尺度、质心位移以及能量的分析发现,不同颗粒排布组合在实验中表现出的特性有很大差别.我们认为产生这一现象的原因在于不同颗粒段交界处界面效应的存在.界面效应在不同的颗粒排布下造成不同的能量分布,从而导致颗粒链出现不同的运动状态.
丁茫缪国庆
关键词:颗粒物质
On solitary waves.Part 2 A unified perturbation theory for higher-order waves被引量:3
2005年
A unified perturbation theory is developed here for calculating solitary waves of all heights by series expansion of base flow variables in powers of a small base parameter to eighteenth order for the one-parameter family of solutions in exact form, with all the coefficients determined in rational numbers. Comparative studies are pursued to investigate the effects due to changes of base parameters on (i) the accuracy of the theoretically predicted wave properties and (ii) the rate of convergence of perturbation expansion. Two important results are found by comparisons between the theoretical predictions based on a set of parameters separately adopted for expansion in turn. First, the accuracy and the convergence of the perturbation expansions, appraised versus the exact solution provided by an earlier paper [1] as the standard reference, are found to depend, quite sensitively, on changes in base parameter. The resulting variations in the solution are physically displayed in various wave properties with differences found dependent on which property (e.g. the wave amplitude, speed, its profile, excess mass, momentum, and energy), on what range in value of the base, and on the rank of the order n in the expansion being addressed. Secondly, regarding convergence, the present perturbation series is found definitely asymptotic in nature, with the relative error δ (n) (the relative mean-square difference between successive orders n of wave elevations) reaching a minimum, δm at a specific order, n = n both depending on the base adopted, e.g. nm,α= 11-12 based on parameter α (wave amplitude), nm,δ = 15 on δ (amplitude-speed square ratio), and nm.ε= 17 on ε ( wave number squared). The asymptotic range is brought to completion by the highest order of n = 18 reached in this work.
Theodore Yaotsu WuXinlong WangWendong Qu
二维颗粒层中纽结孤立波里的对流现象
张鹏黄锴恽毅缪国庆魏荣爵
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