能流密度的微分矢量式及其应用

应用麦克斯韦方程组 ,在各向同性介质条件下 ,推证出能流密度的微分形式及其矢量式 .     

历史专业课程考试命题的规范化

本文从素质教育的角度,针对历史专业课程考试命题过程中存在的弊端,对命题的规范化进行探索。本文分析了规范化命题的必要性,并提出了规范化命题的原则和步骤。     

Modified Biphasic Mixture Model and Its Numerical Penalty Formulation

ＭｏｄｉｆｉｅｄＢｉｐｈａｓｉｃＭｉｘｔｕｒｅＭｏｄｅｌａｎｄＩｔｓＮｕｍｅｒｉｃａｌＰｅｎａｌｔｙＦｏｒｍｕｌａｔｉｏｎ＊ＬｕＭｉｎｇｗａｎ（陆明万），ＨｕａｎｇＤｏｎｇｔａｏ（黄东涛），ＸｕｅＷｅｉｍｉｎ（薛伟民），Ｙ．Ｃ．Ｈｏｎ（韩耀宗）＋，Ａ...     

红外辐射烟火剂研究

该文针对3～5μm和8～14μm波段,以Ba(NO_3)_2-Mg-C_(42)H_(48)O_7和PTFE(聚四氟乙烯)-Mg-C_(42)H_(48)O_7为基础配方,开展了配方组成、质量流率、燃烧温度对红外辐射烟火剂辐射强度影响的试验研究,并讨论了有关试验结果。文中指出PTFE是3～5μm和8～14μm波段都具有较高辐射强度的良好氧化剂,而可燃物C对于具有选择性辐射的富燃配方不能显著提高3～5μm和8～14μm波段的辐射强度;提高质量流率达一定程度后有效辐射率则下降;高温对提高近红外辐射强度适宜,但对远红外不可取。     

A spectral theory for generalized locally convex algebras and its applications

ＬｅｔＸｂｅａｓｅｐａｒａｔｅｄ，ｌｏｃａｌｌｙｃｏｎｖｅｘｓｐａｃｅｏｖｅｒｔｈｅｃｏｍｐｌｅｘｆｉｅｌｄＣ，Ｃ∞ｔｈｅＲｉｅｍａｎｎｓｐｈｅｒｅ，ｉ．ｅ．，ｔｈｅｏｎｅｐｏｉｎｔｃｏｍｐａｃｔｉｆｉｃａｔｉｏｎｏｆＣ，Ｌ（Ｘ）ｔｈｅａｌｇｅｂｒａｏｆａｌｌｃｏｎｔｉｎｕｏｕｓｌｉｎｅａｒｏｐｅｒａｔｏｒｓｏｆＸｉｎｔｏｉｔｓｅｌｆ．ＴｈｅｔｏｐｏｌｏｇｙｏｆｂｏｕｎｄｅｄｃｏｎｖｅｒｇｅｎｃｅｍａｋｅｓＬ（Ｘ）ａｌｏｃａｌｌｙｃｏｎｖｅｘａｌｇｅｂｒａ．Ｔｈｅｒｅｓｏｌｖｅｎｔｓｅｔρ（…     

求解随机线性互补问题的半光滑投影牛顿算法

考虑只有有限个随机变量的随机线性互补问题,先将其转化为约束极小化问题,再利用半光滑投影牛顿算法求解该极小化问题,并给出了相应的数值实验.结果表明所给算法有效.     

Space shape finding FE analysis for suspension bridge based on CR formulation method

The problem of geometric non-linearity simulation for spacial cable system was solved by introducing the truss element based on corotational coordinate (CR) system, cable structure materials and node coordinates and automatic refreshing algorithms for element internal force. And the shape-finding problem for maneuvering profile was solved with the Newton-Raphson based on energy convergence criteria with search function. This has avoided the regular truss element assumption extensively used in traditional methods and catenary elements which have difficulties in practical application because of the complicated formulas. The use of CR formulation has taken into account the stiffness outside the cable plane via a geometric stiffness matrix, realizing the 3D space analysis of a cable bridge and improving the efficiency and precision for the space geometric non-linearity analysis and cable structure, and enabling more precised simulation of geometric form finding and internal force of the large span suspension bridge main cable under construction.     

Colorant Formulation Using 3 - layer Artificial Neural Networks

The colorant formulation using artificial neural networks (ANN) was investigated in this study. A simple 3 -layer, input - hidden - output system was constructed for the recipe formulation of one - , two - , and three -dye mixtures. Comprehensive tests were carried out to explore the properties of a 3 - layer simple ANN systematically . These properties include number of neurons in the hidden layer, learning rate of the network, momentum factor of the network, as well as the number of epochs for the learning process. The tests show accurate results for one - and two - dye mixtures while less accurate but comparable results to conventional colorant formulation systems for three - dye mixtures. It is also found that the optimum values of the neural network parameters are important towards the accuracy of the colorant formulation.     

基于二项式定理应用的探究

二项式定理是初等数学中的一个重要定理，其形成过程是组合知识的应用，同时也是进一步学习概率统计的准备知识，在高等数学中更是许多重要公式的共同基础。从一个新的角度审视二项式定理，给出数环中一类数的n次幂计算的递推公式。同时利用二项式定理的推广形式——多项式定理，得到初等数论中费尔马小定理的一个新证明。     

采用焓法方程计算埋地管道含蜡原油停输温降

埋地热含蜡原油管道停输后,当管内原油温度降到析蜡点以下时,原油中的蜡晶将逐渐析出。根据含蜡原油降温过程中蜡结晶放热的特点,使用焓法方程对析蜡点以下伴随有析蜡胶凝现象的原油降温过程进行了数学描述,并详细给出了使用有限元法对焓法方程进行求解的方法。将焓法方程的计算结果与Φ426mm×6mm管道实测数据进行了对比。结果表明,土壤的计算温度和实测温度最大偏差在1.4℃以内,管内平均温度的计算值与实测值的偏差为0.3℃。由此证明了使用焓法方程计算埋地热油管道停输温降具有较高的准确性。