基于非线性三维直角坐标转换的耐压壳体径向初挠度测量算法

摘要

A method based on six-parameter rectangular coordinate transformation which is propitious to measure submarine's pressure hull radial initial deflection is presented. It resolves the problem that tradi⁃tional seven-parameter bursa mathematical models are unsuitable for large-rotation-angle cases and rely most on the initial value that could lead to large coordinate conversion deviance. To do so, the six-parame⁃ter rectangular coordinate model is first adopted to be derived on the basis of complete coordinate transfor⁃mation formulas. Then, the computational process is enhanced with the improved Gauss-Newton method. Finally, the proposed method is realized by the MATLAB program. Using the analog data and actual project data, a comparison between the traditional bursa mathematical model verifies the accuracy and stability of the proposed algorithm.%针对传统的bursa七参数坐标转换模型不适合大旋转角度测量、过于依赖初值等问题，提出一种适合潜艇耐压壳体径向初挠度测量的基于六参数的非线性三维直角坐标转换模型计算方法。首先，在坐标转换的完整公式基础上推导出六参数模型公式。随后，利用改进的高斯—牛顿法对解算过程进行优化。最后，通过MATLAB程序将算法实现，代入工程实测数据和仿真数据，从解算精度和稳定性两方面与传统bursa模型进行对比，验证了算法的可行性与正确性。