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  

Calculation Method of Pressure Hull Radial Initial Deflection Based on Nonlinear Rectangular Coordinate Transformation Method

作　　者：刘序辰 彭飞[1] 朱志洁[1] 李宁 

机构地区：[1]海军工程大学舰船工程系,湖北武汉430033 [2]海军驻葫芦岛渤海造船厂军事代表室,辽宁葫芦岛125004

出　　处：《中国舰船研究》2014年第6期39-42,58,共5页Chinese Journal of Ship Research

基　　金：海军工程大学自然科学基金资助项目(HGDQNJJ1037)

摘　　要：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。A method based on six-parameter rectangular coordinate transformation which is propitious to measure submarine＆#39;s pressure hull radial initial deflection is presented. It resolves the problem that traditional 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-parameter rectangular coordinate model is first adopted to be derived on the basis of complete coordinate transformation 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.

关 键 词：坐标转换 BURSA模型 耐压壳体 径向初挠度 六参数模型 改进的高斯-牛顿法 

分 类 号：U671.3[交通运输工程—船舶及航道工程]