弯曲光波导的本地场理论

本文从弯曲光波导的本地正交弯曲坐标系出发,展开MaxweII方程组,并借助于函数变换和普通小参数展开法导出了在o(1/R)近似下的弯曲光波导的修正场本地方程及修正传播常数。以圆光纤为例,讨论了一阶近似本地场形式及基模场在最大值处的场位移。与一些文献作以比较,我们的计算与数值方法相一致。本理论的特点是利用相应直波导的已知场来构造弯曲光波导的本地场,故本理论适应于分析任意截面,亦满足于在弱导条件下的弯曲光波导。     

参数变化对PRC弯梁桥动力性能影响仿真分析

为分析参数变化对PRC弯梁桥动力性能的影响,推导了考虑预应力效应的弯梁桥单元刚度矩阵,并建立了考虑预应力效应的PRC连续箱形弯梁桥模型。采用数值仿真方法,研究了预应力、曲率半径、弯扭刚度比、约束情况、截面翘曲及车速等对PRC箱形弯梁桥自振特性的影响,研究了预应力和曲率半径对PRC箱形弯梁桥动力响应的影响。结果表明：各种参数的变化对PRC弯梁桥的动力性能均有影响,且具有一定的规律性,给出了各设计参数的合理取值范围,对PRC弯梁桥的设计具有一定的参考价值。     

曲面的平面映射原理及其应用

论述空间曲面的平面映射定义及其变形;分析了空间曲面的几种近似映射方法,并同时分析了各种映射方法的优缺点;针对在空间曲面应用最广泛的NURBS曲面,提出了NURBS曲面的混合映射算法及其映射算法;讨论了小曲率NURBS曲面平面映射的算法,并将该算法应用于花纹鞋模的设计中。     

预应力混凝土曲线连续梁极限承载力影响因素分析

根据作者建立的预应力混凝土曲线梁理论模型及程序，用计算机模拟试验的方法定量地分析了圆心角、预应力、混凝土强度、纵向钢筋配筋量、箍筋配筋量等主要因素对预应力混凝土曲线连续梁极限承载力的影响。     

基片温度对非晶碳硅薄膜电导的影响

在基片加热的条件下,高纯硅靶在甲烷和氩的混合气氛中,采用直流平面磁控反应溅射,可以制备具有光电响应的氢化非晶碳硅合金薄膜。本文对不同基片温度下成膜的样品进行了电导性能测试并分析了测试结果,得出了基片温度是影响该薄膜光电导的关键因素的结论。     

On Efron's Parameterization

This paper discusses a curved exponential family of distributions which is defined by a differential equation with respect to the expectation parameters in the two–dimensional exponential family. The differential equation considered here is the same as the one given by Efron (1975) for the trinomial distribution. This equation is extended here to a general exponential family, and called Efron's parameterization in the two–dimensional exponential family. The solution of Efron's parameterization is obtained explicitly in an exponential family, although Kumagai & Inagaki (1996) showed that there exists no proper solution of Efron's equation for the trinomial distribution, in line with the counterexample given by Efron (1975 p. 1206). The paper gives some characterizations of Efron's parameterization with special reference to Fisher's circle model. The implications of these characterizations are the two–dimensional normal distribution and a spiral curve in the plane.     

基于时域有限差分法的电磁仿真软件研制

研制了一套用于场分析的电磁仿真软件。该软件基于时域有限差分法,能处理曲面边界目标,用户通过Visual Basic编写的界面输入物体结构参数、设置源及边界条件,并采用Fortran编写的计算模块调用VB生成的数据文件来进行仿真运算。通过同轴天线和谐振腔的模拟仿真对软件进行了验证测试,效果良好。     

A Generalized Bayes Rule for Prediction

In the case of prior knowledge about the unknown parameter, the Bayesian predictive density coincides with the Bayes estimator for the true density in the sense of the Kullback-Leibler divergence, but this is no longer true if we consider another loss function. In this paper we present a generalized Bayes rule to obtain Bayes density estimators with respect to any α-divergence, including the Kullback-Leibler divergence and the Hellinger distance. For curved exponential models, we study the asymptotic behaviour of these predictive densities. We show that, whatever prior we use, the generalized Bayes rule improves (in a non-Bayesian sense) the estimative density corresponding to a bias modification of the maximum likelihood estimator. It gives rise to a correspondence between choosing a prior density for the generalized Bayes rule and fixing a bias for the maximum likelihood estimator in the classical setting. A criterion for comparing and selecting prior densities is also given.     

不均匀媒质填充矩形弯曲波导的研究(英文)

在圆柱坐标系中对径向不均匀媒质填充的矩形弯曲波导进行了研究。在截止频率上,波导中的电磁场可分解为E模和H模。利用摄动理论和低阶模近似,讨论了特征方程。研究表明,HE模和EH模在弱不均匀媒质和低阶模近似条件下是简并的。     

曲线箱梁桥剪滞效应分析

首先,本文提出了翼缘板平面内的应变函数,其横截面的正应力按三次抛物线规律变化。其次,运用变分原理导出微分方程,从而得到曲线箱梁桥剪滞效应的计算公式。在此基础上,编制了考虑曲率中心角和宽跨比两个重要因素的剪滞系数图表,可供实际应用。本文的理论公式是直、曲箱梁桥的普遍公式。