Proper biharmonic submanifolds in a sphere

In this paper, we obtain a constraint of the mean curvature for proper biharmonic submanifolds in a sphere. We give some characterizations of some proper biharmonic submanifolds with parallel mean curvature vector in a sphere. We also construct some new examples of proper biharmonic submanifolds in a sphere.     

椭球壳及椭球体转动惯量的简易推导

本文利用微积分方法,给出计算球壳、球体转动惯量的一种简易办法,又利用正交轴定理,给出椭球壳、椭球体的转动惯量.     

球体上滚问题分析

研究球体在不平行双直线型导轨上的上滚实验问题,包括上滚原因、条件和如何获得最佳的演示效果,并给出一个关于椭圆的几何命题.     

Composition Operators on α-Bloch Spaces of the Unit Ball

The authors characterize the boundedness and compactness of composition operators between α-Bloch spaces of the unit ball.     

受热弹性复合球体空化问题的分析

研究了由两种弹性固体材料组成的复合球体,在均匀变温场作用下的空化问题．采用了几何大变形的有限对数应变度量和Hooke弹性固体材料的本构关系,建立了问题的非线性数学模型．求出了复合球体大变形热弹性膨胀的参数形式的解析解．给出了空穴萌生时临界温度随几何参数和材料参数的变化曲线,以及空穴增长的分岔曲线．算例的数值结果指出:超过临界温度后空穴半径将迅速增大,并且空穴萌生时环向应力将成为无限大,这意味着如果内部球体是弹塑性材料,则会在空穴表面附近产生塑性变形而造成材料的局部损伤．另外,当内部球体材料的弹性接近于不可压时,复合球体可以在较低的变温下空化．     

SINS初始对准中的鲁棒超球体无迹卡尔曼滤波方法

捷联惯导初始对准大失准角系统误差模型中,当噪声具有不确定统计特性时,基于白噪声假设的无迹卡尔曼滤波算法鲁棒性较差.针对该问题,提出了一种基于H∞理论的鲁棒超球体无迹卡尔曼滤波算法.给出了计算量小的超球体采样策略,推导了H∞滤波的鲁棒机理,分离了鲁棒环节.将鲁棒环节引入超球体无迹卡尔曼滤波算法,得到鲁棒超球体无迹卡尔曼滤波算法,并分别在系统噪声和量测噪声为白噪声和有色噪声的条件下,对超球体无迹卡尔曼滤波和鲁棒超球体无迹卡尔曼滤波两种滤波方法进行了仿真实验.仿真结果表明,鲁棒超球体无迹卡尔曼滤波在白噪声情况下虽然精度有所降低,但是相对超球体无迹卡尔曼滤波具有了对有色噪声的鲁棒性,较超球体无迹卡尔曼滤波方法更适用于天向失准角为大角度并且噪声特性为有色噪声的情况.     

Preparation of CaCO_3 Hollow Spheres in an Aqueous Binary-additive System

CaCO3 hollow spheres were prepared easily in anion surfactants （sodium dodecylbenzenesulfonate （SDBS）） and aspartic （Asp） acid binary-additive system by using an easy rapid agitation method. The as-prepared products were characterized with scanning electron microscopy （SEM）, FT-IR and X-ray diffraction. The results suggested that the CaCO3 hollow spheres have diameters ranging from 1 to 2 μm, and their wall is constituted of many nano-particles. Moreover, the possible formation mechanism of the hollow spherical structure was proposed.     

实心球体在热冲击下的动应力和某些现象

本文提出一种简便的解析方法求解实心球体在热冲击载荷作用下的动应力响应。从热动应力的解析表达式和计算结果可以发现圆心处的动应力具有动应力集中现象,并且随着应力波在球体外边界的不断反射而产生周期性振荡。     

A VIRTUAL MESH METHOD FOR THE OPTIMIZED DESIGN OF COMPLEX STRUCTURES

Concepts for a virtual 3D space and a hyper-sphere are proposed and the formulae for determining the computable nodes of the mesh are derived. Then a new optimization design method (‘Virtual Mesh Method‘ or V.M.M) is developed. Three examples are given, showing that the method proposed is especially suitable for the optimized design of complex structures, and that the global approximate optimal solution can be searched with remarkably reduced computational work.     

A fast and practical method to pack spheres for mesh generation

Sphere packing is an attractive way to generate high quality mesh. Several algorithms have been proposed in this topic, however these algorithms are not sufficiently fast for large scale problems. The paper presents an efficient sphere packing algorithm which is much faster and appears to be the most practical among all sphere packing methods presented so far for mesh generation. The algorithm packs spheres inside a domain using advancing front method. High efficiency has resulted from a concept of 4R measure, which localizes all the computations involved in the whole sphere packing process.