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考虑表面柔性接触的陀螺摆加速度计装配位姿偏差计算与分析

张健1,刘检华1,2,张国锐1,夏焕雄1,2*(),张福礼1,沈宏达1   

  1. (1.北京理工大学 机械与车辆学院, 北京 100081; 2.北京理工大学 唐山研究院, 河北 唐山 063015)
  • 收稿日期:2024-09-11 修回日期:2025-03-12
  • 通讯作者: *邮箱:hxia@bit.edu.cn

Computation and Analysis of Assembly Position and Orientation Deviation for a Gyroscope-Pendulum Accelerometer Considering Flexible Surface Contact

ZHANG Jian 1,LIU Jianhua1,2, ZHANG Guorui1, XIA Huanxiong1,2*(), ZHANG Fuli1, SHEN Hongda1   

  1. (1. School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China; 2. Tangshan Research Institute, Beijing Institute of Technology, Tangshan 063015, Hebei, China)
  • Received:2024-09-11 Revised:2025-03-12

摘要: 针对设计阶段如何准确把握陀螺摆加速度计装配位姿精度的问题,提出考虑非理想配合面柔性接触行为的装配位姿偏差计算方法。依托位姿的试探调整策略,建立基于多自由度力系平衡条件的装配位姿偏差问题模型,提出用于解算此模型的第3代非支配排序遗传算法(Non-dominated Sorting Genetic Algorithms III,NSGA-III)框架。以陀螺摆加速度计的同轴装配位姿精度预测为例,对比经典小位移旋量(Small Displacement Torsor,SDT)方法和主流迭代最近点(Iterative Closest Point,ICP)方法验证所提方法的有效性和准确性。研究结果表明,该方法有能力提高陀螺摆加速度计装配位姿精度预测的准确性,可为保障我国高端惯导产品的精度性能提供帮助。

关键词: 柔性接触行为, 陀螺摆加速度计, 装配精度预测, 位姿偏差, 非理想表面, 第3代非支配排序遗传算法

Abstract: To address the challenge of precisely controlling assembly position-orientation accuracy in gyroscopic pendulum accelerometers at the design stage, this study proposes an approach on computing Position and Orientation Deviations (PODs) considering flexible contact behaviors on non-ideal mating surfaces. By adopting an iterative trial adjustment strategy for position and orientation, a mathematical model was established based on multi-degree-of-freedom force equilibrium conditions, with a Non-dominated Sorting Genetic Algorithm III (NSGA-III) framework developed for solving the model. Through a case study of coaxial assembly accuracy prediction for gyroscopic pendulum accelerometers, comparative analyses with the classical Small Displacement Torsor (SDT) method and mainstream Iterative Closest Point (ICP) algorithm validated the effectiveness of the proposed approach. Results indicate that the approach achieves significant improvements in predicting assembly position-orientation accuracy, offering technical support for ensuring precision performance in high-end inertial navigation systems.

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

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