自适应有限元局部P加密的面向对象程序实现

本文采用了面向对象的程序设计方法，以C 作为编程语言，构造了一个局部自适应有限元P加密程序。研究内容涉及从Serendipity函数的构造、单元的形成、自升阶算法以及误差估计和判断。最后采用C 的一系列类及成员函数实现了这些功能，并构造了相应的输入输出模块，使其成为一个完整的自适应有限元分析程序。文中给出的计算结果表明，在P加密有限元分析程序中，误差随着阶数的升高而下降。而且，局部P加密的区域也集中在应力奇异的部位。这验证了文中的理论推导及程序实现的正确性。     

高速电梯系统时变动力学模型与分析

以往关于电梯系统的研究指出，引起电梯系统振动的主要原因在于外部激励－由曳引机，承重装置，拖动和控制系统等引起。这是基于经典的结构共振理论得出的结论，但不能解释某些电梯的振动行为。本文从时变结构力学的观点出发，计及电梯曳引钢丝绳的长度随时间变化，建立起电梯系统的变刚度动力学模型，采用解析方法给出了高速电梯弹性振动的位移和加速度响应表达式。从理论上证明作为时变系统的电梯，具有振荡运动的特征，存在由变刚度引起的自激振动。进一步研究表明，电梯提速意味着曳引钢丝绳的初始扰动增大，导致电梯振动的加速度也增大，对电梯的舒适性有负面影响。     

Inequalities relating to Lp-version of Petty＇s conjectured projection inequality

Petty＇s conjectured projection inequality is a famous open problem in the theory of convex bodies. In this paper, it is shown that an inequality relating to Lp-version of the Petty＇s conjectured projection inequality is developed by using the notions of the Lp-mixed volume and the Lp-dual mixed volume, the relation of the Lp-projection body and the geometric body Г-pK, the Bourgain-Milman inequality and the Lp-Bnsemann-Petty inequality. In addition, for each origin-symmetric convex body, by applying the Jensen inequality and the monotonicity of the geometric body Г-pK, the reverses of Lp-version of the Petty＇s conjectured projection inequality and the Lp-Petty projection inequality are given, respectively.     

光纤传感器对机敏复合材料结构性能的影响

本文通过实验研究了光纤传感器对埋光纤机敏复合材料机械性能的影响，详细分析了埋光纤机敏复合材料层板在外载作用下的应力分布，针对三种不同铺层方式，研究了六种树脂填充区对机敏复合材料层板应力集中的影响，得出了减小应力集中的有效方案。     

Cyclopalladated Ferrocenylimine Catalyzed Chlorination of 2‐Arylbenzoxazoles

An efficient and facile protocol for palladacycle‐catalyzed chlorination of 2‐arylbenzoxazoles was developed. The results represent the first examples involving the palladacycle as the catalyst for such chlorination. This chlorination was not a ligand‐directed ortho‐C H activation, but an electrophilic substitution process at the para‐position of the nitrogen atom in the benzo ring of benzoxazole moiety, the regiochemistry of which had been confirmed by HMBC spectral analysis. The catalytic system could tolerate various halogen atoms, such as F, Cl and Br, affording the corresponding products in moderate to excellent yields.     

玉米赤霉烯酮人工抗原的合成以及抗体的制备

制备了玉米赤霉烯酮人工抗原,并且制备抗血清,为进一步建立酶联免疫分析方法奠定基础.应用活泼酯法和混合酸酐法分别合成人工免疫原和人工检测原,进行动物免疫获得抗血清.结果表明,经紫外吸收、红外光谱、荧光光谱和酶联免疫方法验证人工抗原合成成功,玉米赤霉烯酮-牛血清白蛋白、玉米赤霉烯酮-卵清蛋白偶联比分别为12:1和8:1,抗...     

Global energy minimization of alanine dipeptide via barrier function methods

This paper presents an interior point method to determine the minimum energy conformation of alanine dipeptide. The CHARMM energy function is minimized over the internal coordinates of the atoms involved. A barrier function algorithm to determine the minimum energy conformation of peptides is proposed. Lennard-Jones 6-12 potential which is used to model the van der Waals interactions in the CHARMM energy equation is used as the barrier function for this algorithm. The results of applying the algorithm for the alanine dipeptide structure as a function of varying number of dihedral angles are reported, and they are compared with that obtained from genetic algorithm approach. In addition, the results for polyalanine structures are also reported.     

The method of upper and lower solutions for diffraction problems of quasilinear elliptic reaction-diffusion systems

The aim of this paper is to show the existence of solutions of the n-dimensional diffraction problem for weakly coupled quasilinear elliptic reaction-diffusion system. The coefficients of the equations under consideration are allowed to be discontinuous. We extend the method of upper and lower solutions for reaction-diffusion equations with continuous coefficients to the elliptic diffraction problem. An application of these results is given to the steady-state problem of Lotka-Volterra cooperation model with two cooperating species.     

A strong law of large numbers on the harmonic <Emphasis Type="Italic">p</Emphasis>-combination

In this paper, we establish a strong law of large numbers for the harmonic p-combinations of random star bodies. Starting from this theorem, we prove a strong law of large numbers in L _p space and provide the probabilistic version of dual Brunn-Minkowski inequality.