隧道断面面积与测点偏离值通用计算方法  

General calculation method of tunnel sectional area and deviation value of measuring point

作　　者：杨维裕 YANG Weiyu(Measurement Center,China Railway No.2 Bureau,Chengdu Sichuan 610031,China)

机构地区：[1]中铁二局测量中心,四川成都610031

出　　处：《北京测绘》2024年第2期245-250,共6页Beijing Surveying and Mapping

摘　　要：隧道及地下工程设计阶段需确定隧道断面设计线的组合形式、计算设计断面面积以及建筑限界和受力分析;施工阶段则需测量实际轮廓并与设计断面线比较,计算超欠挖量和测点偏离值。针对现行隧道断面设计和计算存在的不足,提出了引入里程概念并采用积木法确定隧道断面设计线;通过计算设计线任意里程点坐标获取设计断面面积,以及通过测点坐标反算其对应隧道断面设计线的里程和偏距,进而计算超欠挖面积的方法,适用于由任意线元构成的隧道设计断面,且每一线元无须确定始终点和圆心坐标;卵形曲线可作为隧道断面设计线,为隧道空间利用和受力提供了更多选项。In the design stage of tunnel and underground engineering,it is necessary to determine the combined form of the tunnel cross-sectional design line,calculate the design cross-sectional area,and analyze the building clearance and stress.During the construction stage,it is necessary to measure the actual contour and compare it with the design sectional line,calculate the amount of overbreak and underbreak,and the deviation value of the measurement point.Aiming at the shortcomings of the current design and calculation of the tunnel sectional area,the concept of mileage was introduced,and the building block method was employed to determine the tunnel sectional design line.The design cross-sectional area was obtained by calculating the coordinates of arbitrary mileage points on the design line.The mileage and offset of the corresponding tunnel cross-sectional design line through the coordinates of the measurement points were calculated by measurement point coordinates,thereby obtaining the method for calculating the area of over and under excavation.The method is applicable to the tunnel design section composed of arbitrary line elements,and each line element does not need to determine the starting and ending points and the center coordinates of the circle.The oval curve can be adopted as a design line for the tunnel section,which provides more options for the use of tunnel space and improving stress.

关 键 词：线元 积木法 复化辛普森公式 隧道断面设计线里程 超欠挖面积 测点偏离值 

分 类 号：TU91[建筑科学—建筑理论] P258[天文地球—测绘科学与技术]