An analytical and numerical study of the two-dimensional Bratu equation

Bratu's problem, which is the nonlinear eigenvalue equationu+ exp(u)=0 withu=0 on the walls of the unit square and as the eigenvalue, is used to develop several themes on applications of Chebyshev pseudospectral methods. The first is the importance ofsymmetry: because of invariance under the C₄ rotation group and parity in bothx andy, one can slash the size of the basis set by a factor of eight and reduce the CPU time by three orders of magnitude. Second, the pseudospectral method is ananalytical as well as a numerical tool: the simple approximation3.2A exp(–0.64A), whereA is the maximum value ofu(x, y), is derived via collocation with but a single interpolation point, but is quantitatively accurate for small and moderateA. Third, the Newton-Kantorovich/Chebyshev pseudospectral algorithm is so efficient that it is possible to compute good numerical solutions—five decimal places—on amicrocomputer inbasic. Fourth, asymptotic estimates of the Chebyshev coefficients can be very misleading: the coefficients for moderately or strongly nonlinear solutions to Bratu's equations fall off exponentially rather than algebraically withv untilv is so large that one has already obtained several decimal places of accuracy. The corner singularities, which dominate the behavior of the Chebyshev coefficients in thelimit v, are so weak as to be irrelevant, and replacing Bratu's problem by a more complicated and realistic equation would merely exaggerate the unimportance of the corner branch points even more.     

四辊铝箔轧机预控参数在线整定

介绍Ф210mm/Ф500mm× 800mm四辊液压轧机厚度预控系统中采用人机界面实现参数在线调整的方法,能大大提高预控参数的控制精度,减少轧机产品的厚度误差,是厚度自动控制的一项创新.     

焊接设备中计算机控制系统的抗干扰

本文分析提出焊接设备中影响计算机控制系统的几种主要干扰。结合实际工作,提出了解决的措施和方法。     

电动车制动能量再生反馈控制研究

研究了电动汽车制动过程中的能量回馈，设计了混合励磁无刷电动机在汽车制动过程的能量再生反馈控制系统。以脉宽调制调压调速系统为例，研究各种制动态下的能量回馈过程。并将其安装在EV6600电动汽车上进行试验，结果表明：该控制系统可达到10%左右的能量回收效率。     

Calculated hardenability for improved consistency of properties in heat treatable engineering steels

Hardenability is one of the most important parameters controlling the heat treated properties of engineering steels. It affects the consistency of response for microstructure, hardness, strength, toughness, and dimensional change (distortion). This study illustrates that a major benefit of controlling hardenability is improving the consistency of dimensional distortion resulting from heat treatment. To facilitate the supply of steels to hardenability limits, especially restricted hardenability, a new technique was developed for the prediction of Jominy hardenability from chemical composition. The technique, termed the “Database Method,” uses measured Jominy hardenability and chemical composition data, contained in a database, to calculate the hardenability for a query composition. Using up to ten known steels, selected from the database with compositions closely matching that of the query steel, a small adjustment is made to the measured hardenability of each known steel allowing for the small difference in composition between the query and chosen steel. The final calculated result for the query steel is taken as the average of the various estimates. The basis of the Database Method is explained, and the advantages are illustrated for selecting engineering grades.     

多关节机器人通用体系结构的研究

结合一个五自由度教学工业两用型机器人应用实例，构造出多关节机器人通用体系结构，包括总体原型、机械结构、关节传动链、伺服驱动元件、电气控制系统、关节坐标系及其运动学方程、通信协议和软件设计思路等。通过实际使用表明，本文提出的通用体系结构是实用的、合理的。     

离心泵性能参数的自动测定和自动控制

通过将计算机技术应用于离心泵性能参数的研究，实现了离心泵性能参数的自动测定和自动控制。     

浅谈一次盐水的工艺指标控制

介绍了一次盐水的各项工艺指标对生产的影响以及稳定控制这些指标的方法，强调了在生产中控制好一次盐水的工艺指标是影响产品质量及离子交换膜使用寿命的关键。     

CENTUM-CS1000在离子膜制碱工艺中的应用

介绍了DCS在离子膜制碱工艺中的应用及常用控制方案的实现和运行效果。