车灯线光源的优化设计模型  

The Optimising Designal Model of Linear Luminaire of Motor Light

作　　者：张作启[1] 韩芳[1] 陈焰周[1] 陈士华[1] 

机构地区：[1]武汉大学,武汉430072

出　　处：《工程数学学报》2003年第5期57-64,共8页Chinese Journal of Engineering Mathematics

摘　　要：本文首先研究了车灯线光源上各点有效投射点集合变化的规律,进行了合理的区域划分;在此基础上,建立了问题的最小化模型,然后通过数形结合的方法,解得线光源最佳长度1=3.8mm和相应最小功率P_(min)=7210。在此最佳长度下,利用平面镜成像原理和Matlab软件,采用"模拟散斑"的方法,给出了反射光的亮区图形。该模型简单直观,亦可推广应用于太阳能热水器、电视机接收天线等相似领域。In this paper, the law how the number of valid points of incidence changes with different points on the linear luminaire is studied firstly, then a rational division is given. On the basis of that,an optimising mathmatical model is established; with the method of numberical calculation and diagrammatic analysis, the optimal result, 1 =3.8mm and Pmin=7210, are acquired. According to the result, the figure of area lighted by reflective rays can be defined easily with the help of solftware Matlab. The model is simple and can also be used in other relative domains.

关 键 词：线光源 优化设计 数学模型 非线性规划 光强度 反射 

分 类 号：O211.2[理学—概率论与数理统计] O224[理学—数学]