北京航空航天大学学报 ›› 2018, Vol. 44 ›› Issue (2): 342-348.doi: 10.13700/j.bh.1001-5965.2017.0128

• 论文 • 上一篇    下一篇

力传感器惯性质量的改进Monte Carlo校准方法

江文松1,2, 王中宇1, 张力2, 杨军2, 吕京3   

  1. 1. 北京航空航天大学 精密光机电一体化技术教育部重点实验室, 北京 100083;
    2. 中国航空工业集团有限公司 北京长城计量测试技术研究所, 北京 100095;
    3. 中国合格评定国家认可中心 技术处, 北京 100062
  • 收稿日期:2017-03-08 修回日期:2017-06-09 出版日期:2018-02-20 发布日期:2017-09-18
  • 通讯作者: 王中宇,E-mail:mewan@buaa.edu.cn E-mail:mewan@buaa.edu.cn
  • 作者简介:江文松,男,博士研究生。主要研究方向:航空计量与动态校准技术、动态载荷识别技术;王中宇,男,博士,教授,博士生导师。主要研究方向:动态测试技术;张力,男,博士,高级工程师,硕士生导师。主要研究方向:航空计量技术;杨军,男,博士研究生,工程师。主要研究方向:传感器及其校准理论;吕京,男,博士,研究员。主要研究方向:合格评定与认可技术。
  • 基金资助:
    国家重点研发计划(2016YFF0203801);国家自然科学基金(51575032);北京市自然科学基金(3172020)

Inertia mass of force transducers based on a modified Monte Carlo calibration method

JIANG Wensong1,2, WANG Zhongyu1, ZHANG Li2, YANG Jun2, LYU Jing3   

  1. 1. Key Laboratory of Precision Opto-Mechatronics Technology of Ministry of Education, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
    2. Beijing Changcheng Institute of Metrology & Measurement, Aviation Industry Corporation of China, Ltd., Beijing 100095, China;
    3. Technical Department, China National Accreditation Service for Conformity Assessment, Beijing 100062, China
  • Received:2017-03-08 Revised:2017-06-09 Online:2018-02-20 Published:2017-09-18
  • Supported by:
    National Key R & D Program of China (2016YFF0203801);National Natural Science Foundation of China (51575032);Beijing Natural Science Foundation (3172020)

摘要: 惯性质量是力传感器模型的重要校准参数,也是影响动态力测量精度的关键因素之一。为了消除参数误差对惯性质量校准模型引起的病态,提出一种改进Monte Carlo校准(MMCC)方法。首先,建立力传感器惯性质量、配重质量与测量响应之间的模型;其次,利用伪随机数生成技术,分别对该模型中的配重质量、加速度和电压进行样本空间的全域模拟;然后,根据区间判断准则筛选出满足预设精度的有效样本;最后,结合有效样本的概率,估计出力传感器的惯性质量,并实现动态校准。为了验证本文方法的准确性,利用正弦激振台对Kistler 9331B型力传感器进行动态校准。实验结果表明,惯性质量的估计值为83.91 g,估计误差为0.67%,标准差为0.74 g;动态力的校准误差范围为[-7.88%,11.46%]。校准误差明显低于传统的二次及多次配重法。

关键词: 力传感器, 估计, 模型病态, Monte Carlo模拟, 动态校准

Abstract: As an important parameter of a force transducer, the inertia mass can reduce the measurement accuracy of a dynamic force unless it has been accurately estimated. To eliminate the ill-posedness of an calibration model of the inertia mass caused by parameter errors, a modified Monte Carlo calibration (MMCC) method is proposed. Firstly, the mathematical model among the inertia mass, the additional mass, and the measurement response of the force transducer is built. Secondly, the parameter samples of this model including additional mass, acceleration, and voltage are simulated by pseudo-random number generation globally. Thirdly, the valid samples of these parameters are selected by interval screening technique. Finally, the inertia mass of the force transducer is estimated by solving the probability of these valid samples as well as the calibration of the force transducer. The accuracy of the MMCC method is verified by dynamic calibrating a Kistler 9331B force transducer with a sinusoidal vibration exciter. The experimental results show that the estimate of the inertia mass is 83.91g, the estimation error is 0.67%, the standard deviation is 0.74 g, and the calibration error range of the dynamic force is[-7.88%,11.46%]. It indicates that the calibration error of MMCC method is less than the traditional secondary additional mass method and the multi-additional mass method.

Key words: force transducers, estimation, ill-posedness of model, Monte Carlo simulation, dynamic calibration

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