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王小龙, 康玲, 董岚, 等. 附有高程约束的三维平差方法研究[J]. 强激光与粒子束, 2022, 34: 084001. doi: 10.11884/HPLPB202234.210561
引用本文: 王小龙, 康玲, 董岚, 等. 附有高程约束的三维平差方法研究[J]. 强激光与粒子束, 2022, 34: 084001. doi: 10.11884/HPLPB202234.210561
Wang Xiaolong, Kang Ling, Dong Lan, et al. Research on three-dimensional adjustment with elevation constraints[J]. High Power Laser and Particle Beams, 2022, 34: 084001. doi: 10.11884/HPLPB202234.210561
Citation: Wang Xiaolong, Kang Ling, Dong Lan, et al. Research on three-dimensional adjustment with elevation constraints[J]. High Power Laser and Particle Beams, 2022, 34: 084001. doi: 10.11884/HPLPB202234.210561

附有高程约束的三维平差方法研究

doi: 10.11884/HPLPB202234.210561
基金项目: 国家自然科学基金青年科学基金项目(12075264)
详细信息
    作者简介:

    王小龙,wxl@ihep.ac.cn

  • 中图分类号: TL505

Research on three-dimensional adjustment with elevation constraints

  • 摘要: 当前加速器准直主要采用激光跟踪仪进行三维空间位置测量,三维测量数据用三维平差方法计算从理论上讲更为严密,但在实践中却发现存在误差累积现象,其中在高程方向的误差累积十分明显。为了控制三维平差高程方向的误差累积,研究将大地水准面做为基准引入测量和数据处理过程之中,获得基于大地水准面的高程测量数据,用高程数据构建约束条件方程,进行附有高程约束的三维平差。以激光跟踪仪为例给出了三维平差函数模型,研究了约束方程的构建方法,推导了附有高程约束的三维平差计算公式。研究了附有高程约束的三维平差函数模型的两种应用方法,通过模拟计算展示了这两种方法对高程方向误差累积的控制效果。最后对一组实测数据采用多种平差方法进行计算对比,结果显示附有高程约束的三维平差相比无高程约束的三维平差能够更有效的控制平差中高程方向的误差累积。
  • 图  1  跟踪仪测量隧道控制网

    Figure  1.  Laser tracker measures the tunnel control network

    图  2  跟踪仪坐标测量原理

    Figure  2.  Laser tracker coordinate measuring principle

    图  3  直线隧道控制网

    Figure  3.  Linac tunnel control network

    图  4  无高程约束的三维平差结果

    Figure  4.  Result of 3D adjustment without height constraints

    图  5  测站坐标系与垂线坐标系

    Figure  5.  Measuring station coordinate system and vertical coordinate system

    图  6  高程定向法三维平差结果

    Figure  6.  Vertical orientation 3D adjustment result

    图  7  空间直角坐标系和大地水准面

    Figure  7.  Cartesian coordinate system and the geoid

    图  8  高程值改正

    Figure  8.  Elevation correction

    图  9  水准高程转换法三维平差结果

    Figure  9.  3D adjustment result of Level elevation transformation method

    图  10  Starnet平差结果与2D+1D平差结果之差

    Figure  10.  Difference of Starnet adjustment result and 2D+1D adjustment result

    图  11  附有高程约束的三维平差结果与2D+1D平差结果之差

    Figure  11.  Difference of 3D adjustment with elevation constraints result and 2D+1D adjustment result

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出版历程
  • 收稿日期:  2021-12-14
  • 修回日期:  2022-04-19
  • 网络出版日期:  2022-05-20
  • 刊出日期:  2022-07-20

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