The influence of heat transfer rate on the thermally induced nonreciprocal error of FOG

Abstract

In this paper, the model of thermally induced nonreciprocal error is established in three-dimensional cylindrical coordinate system. Make finite-element thermal analysis for fiber loop to get the simulated result of temperature field inside the fiber loop by ANSYS based on the actual temperature on the surface of fiber loop detected under the static condition, get heat transfer rates by comparing area of regions where temperature changes inside the fiber loop section at the equal time intervals, through which we can guess the relationship between the thermally induced nonreciprocal error and heat-transfer rate. Different heat transfer rates are achieved by changing layers of fiber loop under the premise of the same fiber length and the same thermal load, then gain temperature curves of center node on different models. Program the algorithm based on the Shupe effect and the theory of thermal stress to calculate the thermally induced nonreciprocity error for different fiber loop models, which is convenient to determine the optimal layers based on quadrupole winding method. This paper shows the relationship between thermally induced nonreciprocal error and the heat transfer rate.