Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials

We extend the definition of the classical Jacobi polynomials withindexes α, β>−1 to allow α and/or β to be negative integers. We show that the generalized Jacobi polynomials, with indexes corresponding to the number of boundary conditions in a given partial differential equation, are the natural basis functions for the spectral approximation of this partial differential equation. Moreover, the use of generalized Jacobi polynomials leads to much simplified analysis, more precise error estimates and well conditioned algorithms.Mathematics subject classification 1991. 65N35, 65N22, 65F05, 35J05     

Experimental and modeling approaches of MR behaviors under large step strains

Rheological properties of MR fluids under large step strain shear are presented in this paper. The experiments were carried out using a rheometer with parallel-plate geometry. Under the large step strain shear, MR fluids behave as nonlinear viscoelastic properties, where the stress relaxation modulus, G(t, γ), shows a decreasing trend with step strain. The experimental results indicate that G(t, γ) obeys time-strain separability. Thus, a mathematical form based on finite exponential serials is proposed to predict MR behavior. In this model, G(t, γ) is represented as the product of a linear stress relaxation, G(t), and the damping function, h(γ), i.e. G(t, γ)=G(t) h(γ). G(t) is simply represented as a three-parameter exponential serial and h(γ) has a sigmoidal form with two parameters. The parameters are identified by adopting an efficient optimization method proposed by Stango et al. The comparison between the experimental results and the model-predicted values indicates that this mathematical model can accurately predict MR behavior.     

水工混凝土修补技术应用

针对水工混凝土的老化病害,介绍了不同类型修补材料的特点、性能、适用范围,以及修补技术应用中的一些实例和经验。     

石油化工生产火灾危险性分析

针对石油化工生产的特点,从物料特性、上艺装置、工艺控制参数、防火防爆安全装置、作业性质和消防安全设施等几方面综合分析其火灾危险性,并提出相应的防范措施,为消防安全评价提供依据。     

油气集输站场生活污水土地处理技术

通过对土地处理系统的介绍，结合油气站场污水的特点，分析了不同土地处理技术在实际中的设置情况和方式，给出一般的面积计算方法和结果，总结了土地处理的技术特点和应用前景。     

变频电子阻垢技术的工业应用

中国大唐发电有限责任公司徐塘分公司利用变频电磁阻垢技术在4号发电机组循环冷却水系统进行了成功应用.从理论上比较了物理法与化学法水处理技术的差异.工业应用结果表明,变频电磁技术不仅阻垢效果明显,而且具有安装维护简便,适应性广,运行费用低,对水体无污染等特点.可以替代化学阻垢法.     

基于FPGA的序列图像能量累加

低信噪比小目标检测是当前的研究热点,能量积累是其关键技术之一。介绍了两种常用的序列图像能量累加算法：一种是针对帧间运动速度较小的多帧累加；一种是针对帧间运动速度较大的形态膨胀累加。并给出了这两种算法的FPGA实现。实验结果表明,设计的电路运行速度快、占用资源少,具有很强的实用性,并在实际应用中取得了较好的效果。     

500kW／380V国产大功率变频器在钻机上的应用

针对国外变频器价格昂贵、调试周期和维修周期长等特点，我公司自主研发了可替代进口机的高性能钻机国产专用变频器。该变频器能够从零开始调速。当钻井卡钻时，能及时断开电动机，在低速提升时，能最大限度地发挥电动机的动力特性，提供220％的转矩输出。变频器具有易安装、调试、维护，性能稳定。应用中据实测数据显示，采用变频改造后，打1口井可节省柴油15t。     

Whispering-gallery-like modes in square resonators

The mode frequencies and field distributions of whispering-gallery (WG)-like modes of square resonators are obtained analytically, which agree very well with the numerical results calculated by the FDTD technique and Pade approximation method. In the analysis, a perfect electric wall for the transverse magnetic mode or perfect magnetic wall for the transverse electric mode is assumed at the diagonals of the square resonators, which not only provides the transverse mode confinement, but also requires the longitudinal mode number to be an even integer. The WG-like modes of square resonators are nondegenerate modes with high-quality factors, which make them suitable for fabricating single-mode low-threshold semiconductor microcavity lasers.