工程结构中曲面与曲线最短距离的计算方法  

Computing Method of Distance Between Curved Surface and Curve in Engineering Construct

作　　者：马广韬[1] 徐厚生[1] 王莹君[2] 

机构地区：[1]沈阳建筑大学理学院,辽宁沈阳110168 [2]沈阳市市政工程设计研究院,辽宁沈阳110015

出　　处：《沈阳建筑大学学报（自然科学版）》2007年第3期420-422,共3页Journal of Shenyang Jianzhu University：Natural Science

基　　金：辽宁省教育厅项目(20040297)

摘　　要：目的解决工程结构中曲面与曲线之间最短距离问题,为工程结构应用提供参考.方法建立以曲面、曲线上未知点坐标设计变量,以曲面和曲线方程为约束条件,以曲线和曲面距离为目标函数的约束优化方法来精确地确定曲面和曲线之间最短距离,同时确定获得最短距离对应的坐标点.结果进行波动路面和地下电缆之间最短距离的仿真分析并获得相应结果.结论研究方法为解决实际工程问题提供有效计算方法.This article aims to study how to compute the distance between curved surface and curve in engineering construct. Taking the unknown coordinate in curved surface and curve as design variables, the equation of curved surface as constrained condition, and the distance between unknown coordinate as objective function, optimization is proposed to minimize the distance between curved surface and curve. With the result, simulation examples are analyzed. The article draws the conclusion that this method can be used to solve engineering and theoretical problems.

关 键 词：曲面 曲线 最短距离 优化 

分 类 号：O123.6[理学—数学]