基于拉格朗日乘数法的井下闭合导线加测陀螺边优化模型  

Optimization Model of Underground Closed Traverse with Gyro-side Based on Lagrange Multiplier Method

作　　者：张启斌 独知行[1] 吴晓倩 高远斌 李同庆 ZHANG Qibin;DU Zhixing;WU Xiaoqian;GAO yuanbin;LI Tongqing(College of Geodesy and Geomatics,Shandong University of Science and Technology,Qingdao 266590,China;Ningbo Works Section,China Railway Shanghai Bureau Group Co.,Ltd.,Ningbo 315000,China)

机构地区：[1]山东科技大学测绘与空间信息学院,山东青岛266590 [2]中国铁路上海局集团有限公司宁波工务段,浙江宁波315000

出　　处：《测绘地理信息》2021年第6期36-39,共4页Journal of Geomatics

基　　金：国家自然科学基金(41274006)。

摘　　要：为解决井下闭合导线控制测量中陀螺定向边布设位置优化问题,本文结合具体工程算例,给出一般井下闭合导线陀螺定向边最优位置布设方法,验证了基于拉格朗日乘数法建立陀螺边优化模型的正确性。结论表明,基于拉格朗日乘数法建立陀螺边优化模型能够提高井下闭合导线贯通精度,可为矿井高精度贯通提供可靠保障。In order to solve the problem of optimizing the position of gyroscope orientation edge in underground closed traverse control survey,this paper uses a practical example to present the optimum position of gyroscope edge for general underground closed traverse,and verifies the correctness of optimization model of closed traverse with gyro-side based on Lagrange multiplier method.The conclusion shows that the model can improve the breakthrough precision of underground closed traverse and provide reliable guarantee for high-precision mine penetration.

关 键 词：闭合导线 陀螺定向边 优化模型 贯通精度 拉格朗日乘数法 

分 类 号：P258[天文地球—测绘科学与技术]