共查询到17条相似文献,搜索用时 109 毫秒
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实验研究了竖直振动情况下,窄容器中颗粒的运动模式.发现运动模式与颗粒床厚度及振动加速度有很强的依赖关系.实验表明横向尺寸较小的容器可以抑制对流卷及拱起现象.对于足够厚的颗粒床,即使振动加速度很大,颗粒床下部仍然存在着颗粒聚集态.出现聚集态时,颗粒床对容器底的冲击力是倍周期分岔的.实验表明倍周期分岔点与颗粒床厚度无关.对于较薄的颗粒床,颗粒可以是聚集态或对流卷,视颗粒尺寸而定.如果使用尺寸分布非常窄的球形颗粒,可以观察到颗粒的有序排列.出现同心的圆筒形“壳”结构,每个“壳”上的颗粒是二维六角密排列的.
关键词:
颗粒物质
倍周期分岔
颗粒聚集态
球堆积 相似文献
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颗粒物质由离散的固体颗粒组成, 受到周期性振动时可以表现出复杂的动力学行为. 这些行为往往受众多因素的影响, 如空气阻力和器壁摩擦力等. 针对受振颗粒体系中冲击力的倍周期分岔现象, 通过抽真空或将容器底镂空消除空气阻力, 单独研究器壁滑动摩擦力的影响. 结果表明在仅有器壁摩擦力作用的情况下, 倍周期分岔过程仅受约化振动加速度的控制, 与颗粒的尺寸、颗粒层数及振动频率无关. 将器壁摩擦力处理成一个大小恒定、方向与颗粒和器壁相对速度反向的阻力, 并包含到完全非弹性蹦球模型中, 能够对所观察到的现象给出很好的解释. 通过对倍周期分岔点测量平均值的拟合, 得到器壁滑动摩擦力的大小约为颗粒总重量的10%.
关键词:
颗粒物质
器壁摩擦力
倍周期分岔
冲击力 相似文献
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建立了一种可积的无穷维系统——时延范德波尔电磁系统,采用Poincaré映射分析了系统随参数E和λ变化发生的分岔与混沌现象,发现这种时延系统具有复杂的非线性动力学特性,例如吸引子共存、间歇性混沌、类似边界碰撞分岔通向混沌以及周期增加的现象.在研究系统时间混沌行为的同时,还对空间混沌行为进行了初步分析,通过描绘空间分布图发现时延范德波尔电磁系统随参数E和λ变化时,在空间中会呈现出周期和混沌等不同的图案.
关键词:
分岔
混沌
无穷维系统
时延范德波尔电磁系统 相似文献
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提出了一种新的四阶Colpitts混沌振荡器.理论设计与电路实验表明,在三阶Colpitts混沌振荡器中的电感两端并联一个电容器C3,可构建出一种四阶Colpitts混沌振荡器.当C3的取值变化时,电路的谐振频率随之改变,从而使该振荡器经过倍周期分岔进入混沌状态.对四阶Colpitts混沌振荡器的平衡点、分岔和李氏指数等基本动力学问题进行了分析.最后通过数值仿真和电路实验证实了这一方法的可行性.
关键词:
四阶Colpitts混沌振荡器
混沌吸引子
电路实现 相似文献
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为了研究混沌系统的性质及其应用,采用分立元件设计并实现了单参数Lorenz混沌系统,系统参数与电路元件参数一一对应.通过调节电路中的可变电阻,观察到了该单参数系统的极限环、叉式分岔、倍周期分岔和混沌等动力学现象,以及该系统由倍周期分岔进入混沌的过程.研究了分数阶单参数Lorenz系统存在混沌的必要条件,找出了分数阶单参数Lorenz系统出现混沌的最低阶数以及最低阶数随系统参数变化的一般规律.电路仿真与电路实现研究表明,单参数Lorenz系统具有物理可实现性、丰富的动力学特性以及理论分析与实验结果的一致性. 相似文献
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We study period-trebling and period-quadrupling bifurcations in two-dimensional reversible area-preserving maps. Our numerical results show that there are unique universal limiting behaviors in each of the period-trebling and period-quadrupling sequences. 相似文献
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Tadatomi Shinohara Ikuo S. Sogami Masayuki Tanigawa Tsuyoshi Yoshiyama Hisashi Yamada Hideo Oka 《Phase Transitions》2013,86(8):875-886
Colloidal crystals can be formed of silica particles while those of titania particles are not known under the normal gravitational field, because of their high specific gravity. We found by the Kikuchi--Kossel diffraction technique that, when silica particles (diameter: D?=?170?nm; density: ρ?=?2.2?g cm?3) are mixed with titania particles (D?=?127?nm; ρ?=?3.9?g cm?3), colloidal crystals are formed. Colloidal crystals started out with body-centred-cubic structure and changed to face-centred-cubic structures after about 60 days. Transitions began from the bottom of the container. Thus, the transitions are considered to be due to gravitational sedimentation. It is significant that the crystal growth process, which has not been observed in one-component dispersions of the silica particles, was found using titania particles with a wide range of the practical applicability. 相似文献
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B. Drossel T. Prellberg 《The European Physical Journal B - Condensed Matter and Complex Systems》1998,1(4):533-543
We study the dynamics of a particle in a horizontally and periodically shaken box as a function of the box parameters and
the coefficient of restitution. For certain parameter values, the particle becomes regularly chattered at one of the walls,
thereby loosing all its kinetic energy relative to that wall. The number of container oscillations between two chattering
events depends in a fractal manner on the parameters of the system. In contrast to a vertically vibrated particle, for which
chattering is claimed to be the generic fate, the horizontally shaken particle can become trapped on a periodic orbit and
follow the period-doubling route to chaos when the coefficient of restitution is changed. We also discuss the case of a completely
elastic particle, and the influence of friction between the particle and the bottom of the container.
Received: 19 September 1997 / Received in final form: 9 December 1997 / Accepted: 17 December 1997 相似文献
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Bunimovich L 《Chaos (Woodbury, N.Y.)》2003,13(3):903-912
We demonstrate that a system of a finite number of particles in a container with a "typical" shape does not get mixed in the sense that in an (asymptotic) steady state distribution the particles are not equally likely to occupy (almost) any position inside the container. Our incomplete mixing result should be contrasted with the complete mixing of noninteracting or elastically colliding particles in a box, which does occur because the box is not a "typical" shape. The effect we describe does not disappear in the limit of infinitely many particles. However, it is unlikely to be observed in nature but rather in laboratory (the "LAB" effect) experiments. Ideal gas in a container, which is a product of billiards, serves as a transparent model to understand the "LAB" (look at billiards) effect. 相似文献
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实验研究了竖直振动颗粒床中,倍周期运动对尺寸分离的影响.实验中,当振动加速度足够大时,系统中出现稳定的对称对流,进一步增大振动加速度到某个临界值时,还会出现倍周期运动.观察表明,背景颗粒的对流运动对分离过程起主导作用,对流速度决定着分离过程的快慢,而在2倍周期和4倍周期分岔之后,分离时间有所减慢.对引起对流运动的起因进行了分析,以此为基础分析了倍周期运动产生影响的物理机理,并对分离时间进行了定量计算,结果与实验值符合很好.
关键词:
颗粒物质
“巴西果”效应
倍周期分岔
对流 相似文献
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Abstract A method for plate-impact dynamic compaction of copper powder has been developped. The optimization of the experimental set-up (impedance adjustments, tensile wave traps, relative thickness of impactor and target,…) is presented. 2D axisymetrical numerical simulations have been performed with a Lagrangian finite element code. Geometrical characteristics of the experimental set-up as well as the dynamic response of the powder (Reaugh equation of state) and of the material of the set-up have been taken into account. These simulations show that, due to the difference in shock velocities in the container and in the powder, the powder is submitted to 2D loading waves. As a matter of fact the powder may be loaded by a non-planar shock wave propagating in the as-expected direction, as well as by a sweeping wave initiated at the bottom of the powder container, and propagating obliquely from the bottom-up. This second wave loads the bottom of the powder first. The influence of the impactor thickness as well as its material on the shock front shape and on the shock density-pressure history of the material has been studied. 1D simulations are shown not to evaluate properly the stress history and the energy deposition in the powder sample. Metallographic observations as well as X-ray tomography experiments have been performed on consolidated samples. A very good agreement has been found between results of 2D numerical simulations and the observed final shape and density maps of the samples. The shape of deformed powder particles are also in agreement with the expected shock history. 相似文献
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We report on experiments on vertically shaken binary granular mixtures, which separate into their components due to the external excitation. This well-known phenomenon, where large particles rise to the top of the mixture, is called the Brazil-nut effect. Recent theoretical findings predict also a reverse Brazil-nut effect, where large particles sink to the bottom of the container. We choose spherical beads of various diameters and materials in order to observe the transition from Brazil-nut effect to its reverse form. The direction of demixing depends sensitively on the external excitation, so that it is possible to switch between both effects for a given mass density ratio. 相似文献