Computation and Analysis of Assembly Position and Orientation Deviations for a Gyroscopic Pendulum Accelerometer Considering Flexible Surface Contact

doi:10.12382/bgxb.2024.0826

Abstract

Abstract:

To precisely control the assembly position-orientation accuracy of gyroscopic pendulum accelerometers at the design stage,this paper proposes an computing method of position and orientation deviations (PODs) considering the flexible contact behaviors of non-ideal mating surfaces.A mathematical model based on multi-degree-of5freedom force equilibrium conditions is established by adopting an iterative trial adjustment strategy for position and orientation,and a non-dominated sorting genetic algorithm Ⅲ (NSGA-Ⅲ) framework is developed for solving the proposed model.The proposed method is comparaed with the classical small displacement torsor (SDT) method and the mainstream iterative closest point (ICP) algorithm,and its effectiveness and accuracy are validated through a case study of coaxial assembly accuracy prediction for gyroscopic pendulum accelerometers.Results indicate that the proposed method can be used to improve the predicting accuracy of assembly position-orientation,offering technical support for ensuring the precision performance in high-end inertial nvigation systems.

Key words: flexible contact behavior, gyroscopic pendulum accelerometer, assembly accuracy prediction, position and orientation deviations, non-ideal surface, non-dominated sorting genetic algorithm III

CLC Number:

ZHANG Jian, LIU Jianhua, ZHANG Guorui, XIA Huanxiong, ZHANG Fuli, SHEN Hongda. Computation and Analysis of Assembly Position and Orientation Deviations for a Gyroscopic Pendulum Accelerometer Considering Flexible Surface Contact[J]. Acta Armamentarii, 2025, 46(9): 240826-.

Figures/Tables 15

References 23

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序号	周向角/(°)	序号	周向角/(°)
1	30	7	210
2	60	8	240
3	90	9	270
4	120	10	300
5	150	11	330
6	180	12	360

序号	周向角/(°)	序号	周向角/(°)
1	30	7	210
2	60	8	240
3	90	9	270
4	120	10	300
5	150	11	330
6	180	12	360

序号	F_x/N	F_y/N	F_z/N
1	200	500	-800
2	-200	500	-800
3	-200	-500	-800
4	200	-500	-800
5	200	500	-300
6	200	500	-600
7	200	500	-900
8	200	500	-1200

序号	F_x/N	F_y/N	F_z/N
1	200	500	-800
2	-200	500	-800
3	-200	-500	-800
4	200	-500	-800
5	200	500	-300
6	200	500	-600
7	200	500	-900
8	200	500	-1200

类型	参数	数值
配合面非理想形貌参数	名义尺寸	见图6
	配合端面公差/mm	⁺⁰^.⁰⁰⁵ ^-0^.⁰⁰⁵
	配合端面离散点数	6×181
	柱面配合	基孔制H7/g6 间隙配合
	柱面配合孔公差/mm	⁺⁰^.⁰¹¹ ⁰^.⁰⁰⁰
	柱面配合轴公差/mm	^-0.002 ^-0.008
	柱面离散点数	181×16
配合面承受作用力和材料参数	配合面承受作用力	见表1和表2
	配合面材料弹性模量/GPa	210
	配合面材料泊松比	0.3
NSGA-III参数	M	100
	P_c	0.9
	P_m	0.005
	T	100
	H	90
	沿x轴移动范围/mm	[-0.02,0.02]
	沿y轴移动范围/mm	[-0.02,0.02]
	沿x轴转动范围/(°)	[-0.03,0.03]
	沿y轴转动范围/(°)	[-0.03,0.03]