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.
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