一种适用于大旋转角的盾构姿态测量方法

摘要

Aiming at the shortcomings of linear transformation model, such as complex linearization, large computational complexity and big error , a coordinate transformation model was derived based on Roderick matrix in this article, of which the nine correlative parameters in the rotation matrix were replaced by three independent parameters in the anti - symmetric matrix according to the proper- ties of the anti - symmetric matrix and matrix. Compared to some other linear transformation model, this model is simple and easy to calculate, and the higher accuracy of the model was verified by applying the coordinate transformation model based on Roderick matrix to the shield posture measurement.%根据反对称矩阵和罗德里格矩阵的性质，针对线性转换模型线性化复杂、计算量大和误差大等缺点，通过采用反对称矩阵中的三个独立参数来代替旋转矩阵中的九个相关参数，推导出了基于罗德里格矩阵的坐标转换模型。相对于其他的一些线性转换模型，该模型简单且便于计算，其较高的计算精度也通过将基于罗德里格矩阵的坐标转换模型应用于盾构姿态测量中而得到了验证。