基于降维算法和等效杆长的可展结构精度分析

doi:10.7527/S1000-6893.2016.0273

固体力学与飞行器总体设计

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基于降维算法和等效杆长的可展结构精度分析

祁俊威¹, 王春洁^1,2, 丁建中¹

1. 北京航空航天大学机械工程及自动化学院, 北京 100083;
2. 北京航空航天大学北京市数字化设计与制造重点实验室, 北京 100083

收稿日期:2016-07-06 修回日期:2016-10-26 出版日期:2017-06-15 发布日期:2016-11-10
通讯作者: 王春洁,E-mail:wangcj@buaa.edu.cn E-mail:wangcj@buaa.edu.cn
基金资助:
国家自然科学基金（51635002）

Precision analysis of deployable structures based on dimension reduction method and effective link length

QI Junwei¹, WANG Chunjie^1,2, DING Jianzhong¹

1. School of Mechanical Engineering and Automation, Beihang University, Beijing 100083, China;
2. Beijing Key Laboratory of Digital Design and Manufacturing, Beihang University, Beijing 100083, China

Received:2016-07-06 Revised:2016-10-26 Online:2017-06-15 Published:2016-11-10
Supported by:
National Natural Science Foundation of China (51635002)

摘要/Abstract

摘要：

考虑铰链间隙和杆件尺寸误差的不确定性并通过概率统计方法对其进行研究，提出了一种基于单变量降维算法（UDRM）和等效杆长模型的可展结构精度分析方法。利用UDRM将可展结构的精度性能函数解耦为多个杆件尺寸误差的独立作用形式，建立精度分析模型。引入等效杆长模型，等效杆件替代原杆件进行精度计算。将铰链间隙与原始杆件尺寸误差合并到等效杆件的尺寸误差中，同时证明了等效杆长尺寸误差近似服从正态分布。以某卫星可展开天线为算例，结合高斯求积公式求解展开状态下精度指标的分布期望和方差。通过与蒙特卡罗模拟（MCS）和一次二阶矩（FOSM）法计算结果的对比验证了本文精度分析方法的正确性和高效性。

关键词: 铰链间隙, 尺寸误差, 可展开结构, 精度分析, 降维算法, 等效杆长

Abstract:

The uncertainties of joint clearances and link length errors are studied by the method of probability and statistics. A precision analysis method for deployable structure is proposed based on Univariate Dimension Reduction Method (UDRM) and effective link length model. Using the UDRM, the precision function for the deployable structure is decoupled into a combination of independent effects of multiple link length errors to establish the precision analysis model for the structure. The effective link length model is applied to replace the original link length for precision calculation. The effective model converts the joint clearances and link length errors into effective link length errors, which are proved to follow normal distributions. An example of deployable antenna is given to calculate the means and variances in the deployable state with the Gauss quadrature based on the error distributions of link lengths and joint clearances. The correctness and effectiveness of the precision analysis method is verified by comparing the results of Monte Carlo Simulation (MCS) and First Order Second Moment (FOSM) method.

Key words: joint clearance, length error, deployable structure, precision analysis, dimension reduction method, effective link length

中图分类号:

V11
TH115

祁俊威, 王春洁, 丁建中. 基于降维算法和等效杆长的可展结构精度分析[J]. 航空学报, 2017, 38(6): 220590-220590.

QI Junwei, WANG Chunjie, DING Jianzhong. Precision analysis of deployable structures based on dimension reduction method and effective link length[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(6): 220590-220590.

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E-mail：hkxb@buaa.edu.cn

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基于降维算法和等效杆长的可展结构精度分析

Precision analysis of deployable structures based on dimension reduction method and effective link length

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