光电经纬仪轴系误差仿真计算的新方法

New shafting error simulating method of photoelectric theodolite

轴系是决定光电经纬仪测量精度的关键组件,过去常将球面三角学方法做某些简化后来推导轴系误差引起的光电经纬仪测量误差,存在适用局限性。根据光电经纬仪的测量坐标系,采用坐标变换方法,将轴系误差出现的过程看作坐标系的旋转过程,并用旋转矩阵来表示各个轴系误差,最终建立了轴系误差引起测量误差的数学模型。采用MATLAB与VB混合编程的方法对该误差模型进行了仿真分析,通过比较仿真结果与单项误差法计算的结果,验证了该轴系误差模型的正确性,为光电经纬仪的精度分析和误差修正提供了参考。

Shafting is the key module of photoelectric theodolite to decide the measurement precision. As measurement error brought by shafting error was deduced by the spherical trigonometry method with some simplification, the method had its limitation. According to the measuring coordinate of the photoelectric theodolite, the appearance process of shafting error was regarded as rotating course of the measuring coordinates, the shafting error was expressed by the rotating matrixes. A mathematic model for the influence of shafting error on the measurement error was built by a coordinate transformation method. Then a mixed-programmed method based on MATLAB and VB was introduced to simulate the shafting error model, and the error model was proved by comparing the simulating and calculating result with the spherical trigonometry method, which provides reference for precision analysis and error correction.