罗德里格矩阵在盾构姿态解算中的应用

Application of Rodrigue’s Matrix in Attitude Calculation of Shield Machine

在大量实际隧道工程中,采用罗德里格矩阵进行盾构机轴线精确解算,其精度可达到毫米级,完全可满足日常隧道施工需求。由此,本文介绍了利用罗德里格矩阵模型和反对称矩阵,把传统七参数模型中的三个旋转参数用反对称矩阵中三个独立参数代替,使用Excel表格工具解算出盾构机轴线坐标。

In a large number of practical tunnel projects, Rodrigo’s matrix is used to accurately calculate the axis of shield machine, and its accuracy can reach millimeter level, which can fully meet the needs of daily tunnel construction. Therefore, this paper introduced using Rodrigo’s matrix model and antisymmetric matrix, replacing three rotation parameters in the traditional seven parameter model with three independent parameters in antisymmetric matrix,and using Excel table tool to solve the axis coordinates of shield machine.