二维成分无序颗粒体系中法向力的分布

运用离散元法研究成分无序体系中法向力的几率分布,该体系由两种不同刚度系数的颗粒规则堆积而成, 体系的无序程度由缺陷率控制.模拟发现,无缺陷时体系的力网几乎是均匀的,而有缺陷时力网变得不均匀. 提出了主法向力与次法向力的概念,并对它们分别进行统计;随着缺陷率的增加,主法向力的分布经历了比较复杂的变化过程,而次法向力总是指数型分布.模拟结果表明,缺陷率较小时成分无序体系中的法向力分布与随机堆积体系很不相同,而缺陷率较大时得到了与随机堆积类似的结果.这些结果有助于理解力网的不均匀性与体系无序性的关系.     

近场扫描光学显微镜中一种新的切向力检测系统

在近场扫描光学显微镜（ＮＳＯＭ）［１］中,近场距离控制一般采用切向力控制法。检测切向力有两种方法：光学检测法和非光学检测法。目前普遍采用非光学检测法,基本上是采用压电陶瓷管控制探针和样品的距离。本文提出一种新的切向力检测系统,利用双压电片实现近场距离控制。实验结果表明,检测灵敏度大大提高,扫描力显微（ＳＦＭ）像的分辨率可达纳米量级。     

近场扫描光电显微镜中一种新的切向力检测系统

在近场扫描光学显微镜（ＮＳＯＭ）＾［１］中,近场距离控制一般要用切向力控制法。检测切向力有两种方法：光学检测法和非光学检测法。目前普遍采用非光学检测法,基本上是采用压电陶瓷管控制探针和样品的距离。本文提出一种新的切向力检测系统,利用双压电片实现近场距离控制。实验结果表明,检测灵敏度大大提高,扫描力显微（ＳＦＭ）像的分辨率可达纳米量级。     

基于金属薄膜热源的喷雾冷却可视化实验研究

本文采用铝箔片作为模拟热源,结合红外热成像技术,对喷雾冷却换热特性进行可视化研究。发现相对于普通实心喷嘴,所喷射液滴轨迹具有切向力的旋转轨迹的喷嘴所得到的换热能力更强,但是在热沉表面温度分布上,不能产生带有旋转切向力的液滴的喷嘴效果更好;随着薄膜热源的输入功率的升高,其喷雾冷却的换热系数随之减少。在质量流量及喷嘴压力较高条件下,这种趋势更为明显。     

初始空间有序分布下超冷等离子体的演化模拟

超冷等离子体是一种极低温的强耦合等离子体.无序诱导加热过程是制约其达到高耦合强度的主要因素.我们使用德拜势场单体系等离子体模型的分子动力学方法模拟超冷等离子体的演化过程,研究初始空间分布对无序诱导加热过程的影响.在周期性边界条件下,我们研究了不同初始空间下超冷等离子体的演化过程,证明了有序初始空间分布能够有效提高等离子体的最终耦合强度,其结果与近期的理论计算相符合.进一步我们在演化模拟中考虑了有限体积下超冷等离子的膨胀过程,发现其在有序初始分布下会引发无序过程显著加热超冷等离子体,导致了耦合强度的逐渐降低.     

叶顶端翼提升主动襟翼叶型气动性能的数值研究

本文在振荡来流条件下,数值模拟叶顶端翼对加装主动Gurney襟翼的垂直轴风力机叶片非定常气动特性的影响。采用NACA0015翼型的直叶片,并在尾缘前6%弦长位置安装主动襟翼。在最大出力工况(折合频率为0.1)下,对比原型叶片,加装主动襟翼叶片的切向力系数提高了4.47%,安装有叶顶端翼的主动襟翼叶片的切向力系数提高21.18%。通过比较叶片端部涡结构分布,发现叶顶端翼不仅阻止了叶片压力面及吸力面的叶梢涡分支在尾缘处汇合,同时也隔断了主动襟翼产生的角涡与叶梢涡的融合,有效的降低了叶片端部损失,提升了风力机的整体性能。     

梯度型聚合物光纤中折射率分布模型的修正

利用实验数据对梯度型聚合物光纤(棒)中的折射率分布模型进行理论与实验验证,发现该模型对分子体积比大于1的掺杂体系模拟误差较大.通过计算,修正模型中分子体积比的指数参数为1. 1后,模拟误差显著减小,从不大于65% 变为小于20%.这说明分子体积比对界面凝胶聚合形成的梯度型折射率分布影响较大.     

各向同性压缩过程中圆盘体系的基本性质

结合理论分析与数值模拟研究仅有线性排斥力的二维无序圆盘体系在准静态各向同性压缩过程中的基本性质.引入平均约化重叠量、约化压强等概念,基于微观的力学分析,导出约化压强与体系的组成成分、几何统计量及形变统计量之间的关系.基于数值模拟结果,讨论平均接触数增量、各种接触类型的百分比、平均约化重叠量、约化压强等物理量在大范围压缩的过程中随体积分数增量的变化,给出一个形式简洁的近似约化压强公式.模拟结果表明圆盘体系在远离临界阻塞态及接近临界阻塞态时的压缩响应不同.     

倾斜上升管内气液两相弹状流壁面传质特性研究

采用VOF模型对倾角为45°、80°、85°三种情况下倾斜上升管内弹状流的壁面传质特性进行了研究.传质特性通过其与壁面切应力的类比关系来体现.数值模拟结果表明,低混合物流速时,上管壁面切应力在液膜区有明显波动,而下管壁面切应力分布则比较光滑.随着混合流速的增大,液膜区上下壁面切应力分布趋于一致.管子下壁面切应力平均值大于管子上壁面,在Taylor气泡运动速度较低时较为突出.随着Taylor气泡速度的增大,管子上下壁面的切应力平均值趋于相同.相同的混合流速下倾斜角度越大,上下管壁的切应力分布越趋于近似.下降液膜区的壁面切应力平均值大于Taylor气泡尾迹区域.根据Chilton-Colburn的类比关系,壁面切应力的规律完全适用于壁面传质系数.     

蒙特卡罗法计算无序激光器的阈值

提出了计算无序激光器阈值增益的模型,提出了已知平均自由程和散射强度分布得到分布函数及相应的随机变量的方法.对各向同性的光散射,导出了各分布函数,并在每次散射中得到相应的随机变量.运用蒙特卡罗法模拟光子在无序介质中的随机行走,得到了无序激光器的阈值.讨论了阈值增益与光子平均自由程、增益区半径、增益区深度、非增益区光吸收系数的关系,提出了降低阈值的方法.理论结果与实验数据是符合的. 关键词： 激光物理 阈值 蒙特卡罗 散射     

Investigation on arc characteristics in cup-shaped contacts with different structure for transverse magnetic field vacuum circuit breaker

The cup-shaped transverse magnetic field (TMF) contacts contain radial components and tangential components in the TMF generated when the current is interrupted. The tangential force generated by the radial magnetic field component drives the vacuum arc to rotate, and the tangential magnetic field component generates a radial force that causes the vacuum arc to move radially outward. In this paper, in order to study the influence of the arc force direction on the arc characteristics, the influence of the contact structure parameters such as the inclination of the inner wall on the arc force direction is simulated, and the breaking tests of different levels of current are carried out on the contact with different structure parameters. It is found that the direction of the Lorentz force has a significant effect on the breaking characteristics of the current, and the tangential and radial force components have varying degrees of influence on the motion characteristics of the arc during the start process and the metal droplet splashing.     

Frictional shakedown and ratcheting of an oscillating cylindrical,elastic contact with coulomb friction

We examine frictional shakedown of an elastic contact of a cylinder pressed on a flat substrate. Slight oscillatory rolling of the cylinder varies the pressure distribution and the contact region. Together with the tangential load, this rocking motion causes incremental sliding processes and a macroscopic rigid body motion. In case that the oscillation amplitude is sufficiently small, the slip ceases after the first few periods and a safe shakedown occurs: the residual force in the contact withstands the tangential load. Otherwise ratcheting occurs: one side of the contact alternately sticks, while the other slips. This leads to a continuing rigid body motion. By derivation of the tangential stress distribution and use of the Boussinesq and Cerruti potential functions, we find approximations for the shakedown limits for the tangential load and the oscillation amplitude. This allows the accurate prediction of the displacement and the reduced tangential load capacity in the shakedown state. The results show strong agreement with numerical and experimental data.     

Influence of the alignment of load and oscillation on the frictional shakedown of an elastic rolling contact with Coulomb friction

We examine frictional shakedown of a three dimensional elastic rolling contact. Slight oscillatory rolling of one contacting body varies the normal pressure distribution. In turn this causes incremental sliding processes and a macroscopic rigid body motion. We consider two settings: tangential force and rolling direction aligned parallel and perpendicular to each other. In both cases, the slip ceases after the first few periods and a safe shakedown occurs if the oscillation is sufficiently small. Otherwise ratcheting occurs and the accumulated slip leads to a continuing rigid body motion.Numerical simulations with Kalker’s and Vollebregt’s software CONTACT show that the rolling direction leads to differences in the contact region and the traction distribution. Using the method of dimensionality reduction we derive the analytical shakedown limits for the tangential load and the oscillation amplitude. The results show strong agreement with experimental data and allow the accurate prediction of the shakedown displacement and the maximum tangential load capacity in the shakedown state. It shows that a perpendicular alignment of force and rolling direction increases the final displacement in case of shakedown as well as the incremental shift in case of ratcheting.     

On the Tensor of Tangential Stiffness in Contact Problems

In a nonsliding tangential contact, vectors of tangential force and tangential displacement are related by the tensor of tangential stiffness. Using the boundary element method, we calculate the principal values of the tensor of tangential stiffness for a number of contact shapes. Of special interest for applications is that the anisotropy of the tensor of tangential stiffness is generally relatively small, even for extremely anisotropic contact shapes.     

DISTURBANCE DUE TO MECHANICAL SOURCES IN MICROPOLAR ELASTIC MEDIUM WITH VOIDS

The dynamic response of a homogeneous isotropic micropolar half-space with voids subjected to a set of normal point sources is investigated. The integral transforms have been inverted by using a numerical technique to obtain the normal force stress, normal displacement, tangential force stress, tangential couple stress and volume fraction field in the physical domain for the two different sources. The results of these quantities for a magnesium crystal-like material are given and illustrated.     

On the shape dependence of the tangential Casimir force

The normal and tangential Casimir force for the rack gear is calculated numerically in the case of ideal boundary conditions for the electromagnetic field—perfect reflection on the boundaries. The resulting tangential force appears to be essentially shape-dependent. Relatively small shape variations lead to the essential changes in tangential force, whereas normal force remains almost unchanged.     

静态堆积颗粒中的力链分布

颗粒物质是由众多离散颗粒组成的软凝聚态物质,涉及多个物理层次结构和机制,是多尺度问题. 首先阐述了颗粒物质多尺度力学的研究框架,指出颗粒间接触力链构成的细观尺度是核心,颗粒物质显示出的独特静态堆积特性和动态流变特性都与细观尺度力链的复杂演变规律直接相关. 围绕着定量描述力链特征这一目标,采用严格的球形颗粒Hertz法向接触理论和Mindlin-Deresiewicz切向接触理论,对重力作用下12000个球心共面的二维等径颗粒静态堆积进行了离散动力学模拟,对力链分布特征、接触力规律等做了量化分析,考察了颗粒 关键词： 颗粒物质 力链 离散模型 多尺度力学     

离散颗粒层被横向推移过程中的力学行为研究

研究发现,颗粒物质层被匀速推移挤压过程中,所需推移力先以线性规律增加,在某一确定点后,则会以指数规律增加.而颗粒物质是由众多离散颗粒组成的软凝聚态物质,其宏观上反映的是离散颗粒的个体性质和凝聚态物质的集体效应.颗粒与颗粒之间以及颗粒与边界之间的细观尺度接触力链的构成以及演变规律将会直接影响各种宏观受力情况,其摩擦力与挤压力便是力链的主要构成形式.围绕着定量描述细观力链特征,从而揭示力的变化规律这一目标,采用计算机模拟的方法,依照球形颗粒Hertz法向接触理论和Mindlin-Deresiewicz切向接触理论,对重力作用下不同数目的三维等径球体颗粒层的推移情况进行了离散元仿真模拟,量化分析了推移力变化规律、各摩擦力变化规律以及力链分布规律,发现摩擦力与挤压力在颗粒堆积的不同阶段对力链的构成起到了不同的主次作用,使得力链发生强弱演变,从而发现了推移颗粒物质层时推移力的变化规律及原因.这些结果有利于从力链角度揭示颗粒内部和颗粒与各边界之间的受力情况.     

Dynamic stability of linearly varying thickness viscoelastic rectangular plate with crack and subjected to tangential follower force

Based on the two-dimensional viscoelastic differential constitutive relation and the thin plate theory, the differential equations of linearly varying thickness viscoelastic plate with crack and subjected to uniformly distributed tangential follower force in the Laplace domain are established, and the expression of the additional rotation induced by the crack is given. The complex eigenvalue equations of linearly varying thickness viscoelastic plate constituted by elastic behavior in dilatation and the Kelvin-Voigt laws for distortion with crack and under the action of uniformly distributed tangential follower force are obtained by the differential quadrature method. The generalized eigenvalue under different boundary conditions is calculated, and the curves of real parts and imaginary parts of the first three order dimensionless complex frequencies versus uniformly distributed tangential follower force are obtained. The effects of the aspect ratio, the thickness ratio, the crack parameters and the dimensionless delay time on the dynamic stability of the viscoelastic plates are analyzed.