The C-G coefficients for the space group D_6~1h

In1962,Birmanproposedthemethodofcalcula tionfortheselectrulesofthespacegroup[2],andwithmoreresearch,itispossibletocalculatetheC-Gco efficientsofthespacegroup.Differentmethodsarepro posedbysomepeople[3,4],butuntilnow,somespo radiccalculationsaregiven[5,6].BecausetheC-Gcoefficientshavehadmanyap plicationsinrayscattering,in1974,BirmanpredictedthatassoonastheC-Gcoefficientswereeasilyob tainedtheirimportantapplicationswouldimmediatelyfollow.Thesecoefficientsprovideanefficientandstraightforwardme…     

The C-G coefficients for the space group D6h^1

In this paper, the eigenfunction method established by Chen Jin-quan is used to compute the C-G coefficients in regard to the coupling between symmetry points and lines in the first Brillouin zone of the structure D6h^1, space group. Therewith, the wave vector selection rule and the C-G series, are also given as the middle result of computing the C-G coefficients.     

The calculation for C-G coefficients

In1962,Birman proposed the method of calcula-tion[1]for the select rules of space group,and basedon later research,it is possible to calculate theC-Gco-efficients of a space group.Although different methodsare proposed by some people[2,3],up to now,somesporadic calculations are given[4,5].In this paper,the eigenfunction method estab-lished by Chen Jin-quan[6]is used to compute theC-Gcoefficients in regard to coupling between the partialsymmetry points and lines with each other in the firstB…     

用本征函数法计算D3群特征标

阐述了用本征函数法求D3群特征标的具体原理及步骤，给出用本征函数法求有限群特征标的普适方法，即构成完备算符集的L个类算符的矩阵表示，求出这L个矩阵的共同的特征矢量，从归一化条件定出特征矢量大小，最后利用特征矢量求出特征标。     

一类时间空间分数阶Klein - Gordon方程的孤立波解

利用1/G展开法对一类时间 - 空间分数阶Klein - Gordon方程进行了求解,并得到了丰富的行波解.所得解主要为该方程的孤立波解和扭曲波解.选取部分解进行相图分析显示,所得解均是有效的.该研究结果扩展了分数阶Klein - Gordon方程的应用范围.     

在近似正态分布下的颗粒群阻力和阻力系数

本文用Ｓｔｏｋｅｓ流动方程．Ｓｍｏｌｕｃｈｏｗｓｋｉ的反射法来计算成近似正态分布下的颗粒群的阻力和阻力系统。计算表明颗粒群的阻力要比用颗粒数乘单颗粒阻力的值要小。     

基于C空间分解—路标法的机械手路径规划

针对核反应堆检修用多关节机械手的路径规划问题,提出了一种基于C空间分解-路标法的路径规划算法.由于该机械手C空间维数较高,因此将整个C空间分解成2组低维子空间,分别基于子空间建立路标图,并扩充成整个C空间内的路标图,从而将路标图的搜索维数由六维转化为三维,降低了路标图的搜索空间.同时为进一步提高路标图的质量,采用自适应变步长法来选取路标节点,根据前两时刻机械手各关节点距障碍物距离的变化情况来决定下一路标点的选择.仿真结果表明该方法不仅缩短了在线实时规划的时间,而且提高了路径规划的成功率.     

基于G_1法的在役混凝土梁桥技术状态并行综合评定

针对我国目前桥梁技术状态评定方法的不足,以层次分析法为基本评定模型,引入G1法和熵值法进行主观和客观赋权,并采用两种赋权法集成的线性加权组合法确定最终权重.最后给出了桥梁状态指数评定与桥梁重要构件缺损状况评定的并行综合评定方法.通过工程实例比较,并行综合评定方法具有计算原理简明、计算工作量少、结果可靠的优点.