惯性角速度匹配测量方程的耦合误差分析
Coupling error analysis of the inertial angular velocity matching function
吴伟 1李湘源 1马昕明 1秦石乔1
作者信息
- 1. 国防科技大学 前沿交叉学科学院,长沙 410073;国防科技大学 南湖之光实验室,长沙 410073
- 折叠
摘要
针对惯性角速度匹配测量方程得不到理论精确解的问题,根据角速度匹配测量方程建立了形变角估计误差与船体角运动和动态形变角的相关函数模型,从理论上证明了船体角运动与动态形变角之间的交叉耦合将产生形变角估计误差.在动态形变角和船摇角幅度分别为 20 ″和 2 °的仿真条件下,当船体运动角速度与动态形变角速度不相关时,形变角估计误差均值分别为-1.8"、3.7"、3.8";当船体运动角速度与动态形变角速度完全相关时,形变角估计产生约 50"的偏置误差.仿真和实验结果表明,误差的大小与二者之间的相关系数呈正相关.研究结果可为舰船形变测量和传递对准相关的理论研究和工程应用提供参考.
Abstract
In order to address the issue of non-theoretical solution of the inertial angular velocity matching measurement equation,a correlation function model of deformation estimation error with ship angular velocity and dynamic flexure is established based on the angular velocity matching measurement equation.Theoretical analysis indicates that cross-coupling between ship angular velocity and dynamic flexure will result a bias error in deformation estimation.Under the simulation condition that the amplitude of dynamic deformation angle and ship attitude angle are 20"and 2° respectively,the mean errors of deformation angle estimation in three dimensions are-1.8",3.7"and 3.8"respectively when the ship angular velocity is not correlated with the dynamic deformation angular velocity.However,such complete correlation will lead to a bias error of about 50"in deformation estimation.Simulation and experimental results demonstrate that the amplitude of bias is liner with cross correlation ratio.The findings of this study can provide valuable reference for theoretical research and engineering applications related to ship deformation measurement and transfer alignment.
关键词
船体形变/角速度匹配/相关函数/耦合误差Key words
ship deformation/angular velocity matching/correlation function/coupling error引用本文复制引用
基金项目
国防科技大学自主科研项目(22-TDRCJH-02-033)
出版年
2024
NETL
NSTL
万方数据