基于正弦激励的压电加速度计模型参数辨识

鲁敏; 胡红波

doi:10.3969/j.issn.1000-1158.2020.01.11

PDF(367 KB)

计量学报 ›› 2020, Vol. 41 ›› Issue (1) : 55-59. DOI: 10.3969/j.issn.1000-1158.2020.01.11

力学计量

基于正弦激励的压电加速度计模型参数辨识

鲁敏¹,胡红波²

作者信息 +

Calibration of Piezoelectric Accelerometers Dynamic Characteristics using Primary Vibration Calibration

Author information +

文章历史 +

摘要

针对压电加速度计常规校准无法完全满足实际机械动态量测量要求的问题,采用基于加速度计模型参数校准的方法。参数未知的线性二阶微分方程用来表示加速度计动态特性,利用绝对法振动校准加速度计频率响应数据,采用最小二乘算法确定了未知的参数的值,同时利用蒙特卡罗法确定了参数值的不确定度。最后对加速度计进行了瞬态冲击加速度校准,计算辨识所得模型在相同冲击激励下的预测输出。结果表明:瞬态冲击加速度校准与计算辨识模型结果相差不超过1%。

Abstract

A novel approach was proposed for calibration of accelerometers by model-based parameter identification, aimed for the problem that mostly used method for accelerometers calibration cant satisfy requirements for dynamic mechanical quantity in reality. The model consisted of a linear, second-order differential equation with unknown coefficients. It was proposed to estimate these model parameters from primary vibration calibration, and an estimation procedure based on linear least-squares was presented. The uncertainties associated with the estimated results were determined utilizing a Monte Carlo simulation technique. The model obtained was used to predict the accelerometers behavior for shock acceleration, measured and predicted results were consistent with difference below 1%, which confirmed the validity of the method.

导出引用

鲁敏, 胡红波. 基于正弦激励的压电加速度计模型参数辨识[J]. 计量学报. 2020, 41(1): 55-59 https://doi.org/10.3969/j.issn.1000-1158.2020.01.11

LU Min,HU Hong-bo. Calibration of Piezoelectric Accelerometers Dynamic Characteristics using Primary Vibration Calibration[J]. Acta Metrologica Sinica. 2020, 41(1): 55-59 https://doi.org/10.3969/j.issn.1000-1158.2020.01.11

中图分类号： TB936

参考文献

［1］于梅. 0. 1Hz～50kHz直线振动幅值和相位国家计量基准系统的研究［J］. 振动与冲击, 2007, 26(7): 54-58.
Yu M. Recent development of study on primary standards for measuring magnitude and phase of translational vibration in frequency domain［J］. Journal of vibration and shock, 2007, 26(7): 54-58.

［2］胡红波, 杨丽峰,于梅. 零差干涉仪用于振动校准中关键技术的研究［J］. 计量学报, 2018, 39(3): 368-372.
Hu H B, Yang L F, Yu M. Study on Key Technologies of Vibration Calibration Using Homodyne Interferometer［J］. Acta Metrologica Sinica, 2018, 39(3): 368-372.
［3］胡红波, 于梅. 激光干涉发冲击绝对校准的研究［J］. 计量学报, 2015, 36(4): 397-402.
Hu H B, Yu M. Investigation of shock calibration using laser interderometry［J］. Acta Metrologica Sinica, 2015, 36(4): 397-402.
［4］BIPM, IEC, IFCC, ISO, IUPAC, IUPAP and OIML, Guide to the Expression of Uncertainty in Measurement. International Organization for Standardization, Guide to the Expression of Uncertainty in Measurement［S］. 1995.
［5］Hessling J P. A novel method of dynamic correction in the time domain［J］. Measurement Science and Technology, 2008, 19(7): 075101.
［6］黄俊钦. 测试系统动力学［M］. 北京: 国防工业出版社, 1996.
［7］徐科军. 传感器动态特性的实用研究方法［M］. 合肥: 中国科学技术大学出版社, 1999.
［8］Link A, Tubner A, Wabinski W, et al. Calibration of accelerometers: determination of amplitude and phase response upon shock excitation［J］. Measurement Sci Techol, 2006, 17, 1888-1894.
［9］胡红波, 孙桥. 基于绝对法冲击校准的加速度计参数辨识的研究［J］. 测试技术学报, 2013, 27(1): 19-25.
Hu H B, Sun Q. Parameter identification of accelerometer based on primary shock calibration method［l］. Journal of test and measurement technology, 2013, 27(1): 19-25.
［10］Thomas Bruns, Afred Link, Franko Schmahling, et al. Calibration of accelerometers using parameter identification –Targeting a versatile new standard［C］// XIX IMERO World Congress, Fundamental and Applied Metrology. Lisbon, Portugal, 2009.
［11］樊尚春, 传感器技术及应用［M］. 北京: 北京航空航天大学出版社, 2004.
［12］胡红波, 孙桥. 二阶线性时不变测量系统动态特性的补偿与动态不确定度评估［J］. 计量学报, 2013, 34(2): 106-110.
Hu H B, Sun Q. Compensation of Dynamic Characteristics and Evaluation of Dynamic Uncertainty for a Measurement System Modeled by a Second-order Linear Time Invariant Model［J］. Acta Metrologica Sinica, 2013, 34(2): 106-110.
［13］Volkers H, Bruns T. A 2DOF Model for Back to Back Shock transducer［C］// XXI IMEKO World Congress, Prague, Czech, 2015.
［14］Bruns T, Ripper G P, Tubner A. Final report on CIPM key comparison CAUV. V-K2［J］. Metrologia, 2014, 51:09002.
［15］胡广书. 数字信号处理理论、算法与实现［M］. 2版. 北京: 清华大学出版社, 2003.