圆薄板非对称大变形弯曲问题

本文首先导出圆薄板非轴对称大变形问题的位移基本方程及边界条件.利用变换和摄动法将非线性位移方程线性化,得到了近似边值问题.作为算例,文中研究了圆薄板在较复杂载荷作用下的非线性弯曲问题.     

一个改进的Reissner-Mindlin矩形元

本文提出了一个改进的Reissner-Mindlin矩形非协调元方法：旋度用连续双线性元逼近，横向位移用旋转矩形非协调元逼近，而作为中间变量的剪切力用增广的分片常数元逼近，我们证明：该方法具有关于板厚一致稳定性和一致最优收敛性。     

多属性决策的组合赋权法

鉴于多属性决策问题中主观赋权法和客观赋权法各有其自身固有的特点，本文依据优化理论提出一种集成方法确定属性权重，该方法既充分利用客观信息，又反映决策者的主观偏好，从而使确定的属性权重更加合理、实用．     

石墨炉原子吸收光谱法间接测量尿样中氨基多糖含量

本文采用阿利新蓝（ＡｌｃｉａｎＢｌｕｅ）与尿样中氨基多糖（以下称ＧＡＧ）在ｐＨ＝５．８的醋酸钠溶液中，发生沉淀反应生成ＧＡＧ铜复合物。离心分离沉淀物，以石墨炉原子吸收光谱测定沉淀物中铜含量，间接计算ＧＡＧ含量。本文对尿样加入染液浓度，沉淀反应平衡时间；沉淀物的洗涤剂、洗涤次数等进行了探讨，确定了最佳实验条件，实测了６０例健康人尿中ＧＡＧ含量，与文献报导值一致。     

Small Solutions of Quadratic Diophantine Equations

We consider quadratic diophantine equations of the shape for a polynomial Q(X₁, ..., X_s) Z[X₁, ..., X_s] of degree 2.Let H be an upper bound for the absolute values of the coefficientsof Q, and assume that the homogeneous quadratic part of Q isnon-singular. We prove, for all s 3, the existence of a polynomialbound _s(H) with the following property: if equation (1) hasa solution x Z^s at all, then it has one satisfying For s = 3 and s = 4 no polynomial bounds _s(H) were previouslyknown, and for s 5 we have been able to improve existing boundsquite significantly. 2000 Mathematics Subject Classification11D09, 11E20, 11H06, 11P55.     

Diffraction of a Plane Discontinuos Wave in Layered Anisotropic Elastic Media

The problem of transformation of the front of a plane longitudinal shock wave by curvilinear interfaces of layered anisotropic elastic media with different mechanical properties is considered. To solve the nonlinear Snell equations, the approach based on a synthesis of the Newton method and the algorithm of parametric continuation of a solution is used. The cases of focusing and scattering of rays by convex and concave interfaces of layered composite media and by convex lenses are investigated. Numerical examples are given for various ratios between the parameters of the elastic media.     

Consistent Initialization for Nonlinear Index-2 Differential–Algebraic Equation: Large Sparse Systems in MATLAB

An important component of any initial-value solver for higher-index differential–algebraic equations consists in the computation of consistent initial values. In a recent paper [5], an algorithm is proposed which is applicable to a very general class of index-2 systems. Unfortunately, the computational expense is rather high. We present a modification of this approach, which gives rise to a MATLAB implementation capable of handling systems of moderate dimension (several thousands of unknowns). The algorithm is illustrated by examples.     

新疆天山三种蕨类植物的总黄酮含量研究

对3种新疆蕨类植物总黄酮含量进行了分析和研究,发现黄酮类化合物普遍存在于蕨类植物中,不管是地上部分还是地下部分.不同蕨类植物不同部位的总黄酮含量差异显著.分析的三种蕨类植物中,磷毛蕨所含总黄酮量为1.79%,欧亚水龙骨营养叶总黄酮含量为0.9%,较低.在所测试样品的三个部位中,孢子叶的总黄酮含量较高.     

低应变反射波法结合钻芯法检测钻孔灌注桩桩身质量

低应变反射波法具有快速、简便和费用低廉等优点,但同时又存在检测结论不全面、不定量,可靠性低等缺点;而钻芯法具有科学、直观、精确等优点,但它却存在速度慢、实施难、费用高等缺点：如果将两种检测方法巧妙地结合起来进行,既节约检测成本,又能可靠全面地反应钻孔灌注桩桩身质量．     

A Goal Programming model of the reference point method

Real-life decision problems are usually so complex they cannot be modeled with a single objective function, thus creating a need for clear and efficient techniques of handling multiple criteria to support the decision process. The most commonly used technique is Goal Programming. It is clear and appealing, but in the case of multiobjective optimization problems strongly criticized due to its noncompliance with the efficiency (Pareto-optimality) principle. On the other hand, the reference point method, although using similar control parameters as Goal Programming, always generates efficient solutions. In this paper, we show how the reference point method can be modeled within the Goal Programming methodology. It allows us to simplify implementations of the reference point method as well as shows how Goal Programming with relaxation of some traditional assumptions can be extended to a multiobjective optimization technique meeting the efficiency principle.