刚性球体三维高速垂直自由入水载荷

入水结构体在从空中弹道转入水下弹道的入水阶段,其周围的流体将呈现出强非线性性质,本文针对传统基于Wagner理论的结构体入水载荷计算模型不能很好描述流体三维流动的情况,基于无黏不可压流体流动模型,考虑流体弹性,采用微元边界运动等效方法对运动边界进行分段分析,计及入水过程中系统的动能损失,根据能量守恒,对刚性球体高速垂直自由入水过程中流体的三维流动进行了理论分析,建立了基于无黏不可压弹性流体的刚性球体垂直高速入水载荷计算模型,并与基于多介质任意拉格朗日欧拉方法的有限元模型进行了对比分析,验证了该方法的可行性。基于此模型,本文进一步分析了入水载荷的影响因素。该方法提供了一种计算结构体垂直高速入水载荷的思路,具有一定的理论意义和工程应用价值。     

若干重要积分的间接方法

本文(1)将两个复杂而重要的含参无穷积分视为其参变量的函数,运用一致收敛的含参积分对参变量的可导性质,设法将问题转化为关于参变量的简单微分方程,从而间接而巧妙地求出积分结果;(2)对于n维空间的球体体积与表面积的问题,本文介绍一种移花接木的方法,巧妙地推导出n维球体的体积与表面积公式.     

A Hopf type classification theorem for isovariant maps from free <Emphasis Type="Italic">G</Emphasis>-manifolds to representation spheres

An isovariant map is an equivariant map preserving the isotropy subgroups. In this paper, we develop an isovariant version of the Hopf classification theorem; namely, an isovariant homotopy classification result of G-isovariant maps from free G-manifolds to representation spheres under a certain dimensional condition, the so-called Borsuk-Ulam inequality. In order to prove it, we use equivariant obstruction theory and the multidegree of an isovariant map.     

旋转荷电球体外部引力场中引力效应

以实验粒子的短程线方程为出发点，计算了由旋转参量与电荷参量所引起的近日点进动效应．当粒子绕行方向与场源旋转方向一致时，与Kerr场中情况相比修正项将使进动效应增大．此外，通过引入局域洛伦兹空间截面，可给出该场中运动物体上加速度．显然在随动系中（vⁱ=0），从极轴方向和赤平面粒子均不能到达场源，而是分别停滞在r＝k＋(k²+4m²a²)^1/2/2m和r=k/m处．此时可以计算对星系尘埃的吸积作用，即尘埃的分布状况．最后还讨论了赤平面上作圆周运动物体（仅v³≠0）的类柯里奥利加速度 关键词：     

MULTI-SCALE STRUCTURES IN EMULSION AND MICROSPHERE COMPLEX SYSTEMS

Multi-scale structures involved in emulsion and microsphere complex systems are presented and discussed. The stability and spatio-temporal structures of emulsions, as well as nano-structures formed on the surface of microspheres after polymerization, are affected by the molecular emulsifier/stabilizer structures and the adsorbed emul-sifier/stabilizer nano-structures on the oil/water interface. The broad size distribution and variation of surface features of droplets are responsible for variations of the adsorbed emulsifier/stabilizer structures and the stability of the emulsions. On the other hand, preparation of a uniformly sized emulsion and employment of a combined emulsifier/stabilizer system can preserve the stability of the emulsions and microspheres. The above phenomena should be modeled by a multi-scale method, In order to maintain the stability of individual emulsion systems and realize the desired nano-structures of microspheres by choosing adequate emulsifier/stabilizer and experimental parameters.     

Experiments on densifying packing of equal spheres by two-dimensional vibration

Densification of mono-sized sphere packings using two-dimensional （2D） vibration was experimentally studied. The effects of vibration mode, amplitude and frequency, feeding method, and container size on packing density were systematically analyzed. Useful results were obtained.     

旋转带电球体的转动惯量

对均匀带电球体绕其自身的对称轴作变角速度旋转产生的磁场和感应电场求解，之后计算了这球体对该轴的转动惯量。     

Fabrication of Alumina Films with Three-Dimensional Ordered Macropores by Self-Assembly of Binary Colloidal Spheres

We present a new process to obtain a three-dimensional ordered macroporous structure (3DOM). The 3DOM films were fabricated using a coassembly of monodispersed polystyrene spheres and alumina hydroxide sols in aqueous suspensions on a vertical substrate followed by a calcination treatment. The 3DOM film structure, quality and morphology have been characterized by scanning electron microscopy and transmission spectra.     

一种简易合成具有近红外吸收的纳米金壳球体方法

对经典的合成方法进行了详细的系统性的研究,通过改变合成过程中各反应物的参数,简易地得到了稳定的具有近红外吸收的纳米金壳球体。利用紫外可见光谱、动态光散射仪和透射电镜研究了制备过程中的各个参数对纳米金壳球体光学性质的影响。实验结果显示胺化试剂的用量以及先导试剂的预处理等在制备过程中都是重要影响因素。由改进方法所制备的纳米金壳球体具有很窄的粒径分布,并能在没有外加表面活性剂的条件下稳定地单分散于水溶液中。这些方法的改进提供了一种简易制备具有近红外吸收的纳米金壳球体的方法,从而有利于拓展此类纳米粒子在生物医学领域中的应用研究     

以碳微球为核的金纳米壳球体的制备

通过水热合成法制备了单分散碳微球, 并以此单分散碳微球为核, 利用其表面修饰的银纳米粒子作为种子, 进一步还原制备了以碳微球为核、以金为壳的金纳米壳(Nanoshell)球体. 通过透射电子显微镜和紫外可见吸收光谱对其形态以及光谱性质进行了表征. 研究结果表明, 采用该种方法制备出来的碳微球具有良好的单分散性, 表面修饰简便快捷, 利用碳微球为核制备的金纳米壳球体尺寸可控, 在近红外范围内有强吸收. 实验结果证明该方法是制备金纳米壳球体的一种有效新方法.