光纤陀螺仪光纤尾纤装配动力学建模仿真与应力计算方法

The assembly of fiber optic pigtails in Fiber Optic Gyroscope (FOG) mainly relies on workers to complete manually, and the consistency is difficult to be guaranteed as the assembly stress control is based on manual experience. Aiming at the difficulty of quantitative control of fiber assembly stress, an optical fiber dynamic modeling simulation method based on discrete differential geometry theory was proposed. An optical fiber kinematics framework was established based on discrete differential geometry, and the optical fiber dynamic equations including stretching, bending, and twisting deformation and stress calculations were derived from elastic potential. A numerical solution method of fiber dynamic equations based on Newmark implicit algorithm was proposed, and a collision detection and response strategy between optical fibers and surrounding objects during the assembly process was designed. Then the circumferential placement, bending and twisting simulations of optical fibers were conducted. The results showed that the position of circumferential placement was more accurate with a shorter free length between the control end and the fixed end of the optical fiber; the degree of bending and twisting deformation was larger with a larger optical fiber radius at the same torsion angle. A fiber optic gyroscope assembly layout was designed, and the stress distribution and maximum stress variation during the fiber assembly process were obtained through dynamic simulation. This research provided theoretical support for low-stress assembly and path planning of the gyro-optical paths.