航空学报 > 2022, Vol. 43 Issue (1): 224893-224893   doi: 10.7527/S1000-6893.2020.24893

带翼展飞行器质量质心测量系统设计与误差分析

林闯, 郑昱, 广晨汉, 王炎, 杨洋   

  1. 北京航空航天大学 机械工程及自动化学院, 北京 100083
  • 收稿日期:2020-10-16 修回日期:2020-12-29 出版日期:2022-01-15 发布日期:2020-12-18
  • 通讯作者: 杨洋 E-mail:yang_mech@126.com
  • 基金资助:
    航天科工集团公司航天科学技术基金(KZ37019701)

Design implementation and error analysis of mass and centroid measurement of aircraft with wingspan

LIN Chuang, ZHENG Yu, GUANG Chenhan, WANG Yan, YANG Yang   

  1. School of Mechanical Engineering and Automation, Beihang University, Beijing 100083, China
  • Received:2020-10-16 Revised:2020-12-29 Online:2022-01-15 Published:2020-12-18
  • Supported by:
    Aerospace Science and Technology Fund of Aerospace Science and Industry Corporation(KZ37019701)

摘要: 为解决传统的基于三点法的质心测量系统无法应用于带翼展飞行器的问题,提出了一种基于三点方式的任意旋转角质心测量法。为了提高系统测量精度,采用响应面法分析多种随机误差对系统测量精度的综合影响。首先,构建了带翼展飞行器的质量质心测量系统,然后利用随机误差传递公式得到各个随机误差与系统测量精度之间的关系式,并使用响应面法和拉丁超立方抽样法得到多种随机误差与系统测量精度之间的二次项关系式模型,进而依据二次项关系式模型和系统精度指标得到各元器件的精度要求,并分析了满足系统测量误差的旋转角度范围。最后对200 kg、400 kg、800 kg三种质量级别的待测带翼展飞行器在不同旋转角度下进行了多次测量,并将响应面计算结果与理论值进行了对比。对比结果表明,质心测量精度满足系统精度要求,从而验证了任意旋转角度下该测量方法的有效性,以及随机误差与系统测量精度之间的二次项关系式模型的正确性。

关键词: 三点测量, 质量质心, 带翼展飞行器, 任意旋转角度, 误差分析

Abstract: To solve the problem that the traditional centroid measurement system based on three-sensor cannot be applied to the aerocraft with large wingspan, a mass centroid measurement system based on three-point is proposed, which has no requirements for the aerocraft rotation angle. To improve the measurement accuracy of system, the comprehensive influence of random errors on the system measurement accuracy is analyzed by the response surface method. Firstly, the mass and centroid measurement system of the aerocraft with wingspan is designed. Then, the mathematical derivation between random error and system measurement accuracy is given by using the random error transfer formula. Using the response surface method and the Latin hypercube sampling method, the quadratic term relational model between the random error and system measurement accuracy is obtained. Based on the quadratic term relational model and system accuracy index, the accuracy requirements of each component are obtained, and the range of the rotation angle satisfying the measurement error is analyzed. Finally, several measurements ae carried out on the three mass levels of 200 kg, 400 kg and 800 kg for different rotation angles, and the calculation results of response surface are compared with the theoretical values. The results show that the measurement accuracy of the centroid can meet the requirements of the system accuracy, demonstrating the validity of the method for any rotation angle and the correctness of the quadratic term relationship model between the random error and the measurement accuracy of the system.

Key words: three-point measurement, mass and centroid, aircraft with wingspan, any rotation angle, error analysis

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