NURBS曲线在隧道断面拟合及变形中的应用研究  

Application of NURBS Curves in Tunnel Section Fitting and Deformation

作　　者：张超[1] 高新闻[2] 熊诚 ZHANG Chao;GAO Xinwen;XIONG Cheng(SHU-SUCG Research Center for Building Industrialization,Shanghai University,Shanghai 200444,China;School of mechanical engineering and automation,Shanghai University,Shanghai 200072,China;Shanghai Underground Space Architectural Design & Research Institute,Shanghai 200032,China)

机构地区：[1]上海大学上海大学-上海城建建筑产业化研究中心,上海200444 [2]上海大学机械工程与自动化学院,上海200072 [3]上海市地下空间设计研究总院有限公司,上海200032

出　　处：《公路工程》2019年第4期103-107,129,共6页Highway Engineering

基　　金：上海市科委基金资助(16DZ1201704,17DZ1204203)

摘　　要：鉴于目前隧道断面拟合方式的不足,提出新方法NURBS曲线来拟合隧道断面。先介绍了隧道断面干扰点去除、型值点提取、断面变形分析的具体方法。然后理论验证了NURBS曲线的拟合效果。就某实际隧道断面拟合NURBS曲线,同圆形、椭圆、B样条三种曲线拟合比较得出NURBS曲线拟合的优越性。对NURBS拟合曲线提取“长、短半轴”,同设计断面对比分析出隧道断面收敛变形。研究结果表明该方法不仅能拟合出隧道的真实轮廓,更能有效反映出隧道的收敛变形。In view of the shortcomings of the present tunnel section fitting method,a new method NURBS curve was proposed to fit the tunnel section.Firstly,the concrete methods of removing interference points,extracting type points,and analyzing section deformations in tunnel sections are introduced.Then the theory validates the fitting effect of the NURBS curve.Fitting the NURBS curve to a certain actual tunnel section,compared with the curves of the circle,ellipse and B spline,the superiority of NURBS curve fitting was obtained.The NURBS curve was used to extract the"long and short half axes",and the tunnel section fracture was analyzed and compared with the design section.The results show that the method can not only fit the true contour of the tunnel,but also can effectively reflect the convergence and deformation of the tunnel.

关 键 词：NURBS曲线 长、短半轴 拟合效果 断面收敛变形 

分 类 号：U452.14[建筑科学—桥梁与隧道工程]