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基于蒙特卡洛随机有限元法的高温应变片结构不确定性分析

Structural Uncertainty Analysis of High-Temperature Strain Gauge Based on Monte Carlo Stochastic Finite Element Method.

作者信息

Zhao Yazhi, Zhang Fengling, Ai Yanting, Tian Jing, Wang Zhi

机构信息

Liaoning Key Laboratory of Advanced Measurement and Test Technology for Aviation Propulsion System, School of Aero-Engine of Shenyang Aerospace University, Shenyang 110136, China.

出版信息

Sensors (Basel). 2023 Oct 23;23(20):8647. doi: 10.3390/s23208647.

DOI:10.3390/s23208647
PMID:37896740
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10610717/
Abstract

The high-temperature strain gauge is a sensor for strain measurement in high-temperature environments. The measurement results often have a certain divergence, so the uncertainty of the high-temperature strain gauge system is analyzed theoretically. Firstly, in the conducted research, a deterministic finite element analysis of the temperature field of the strain gauge is carried out using MATLAB software. Then, the primary sub-model method is used to model the system; an equivalent thermal load and force are loaded onto the model. The thermal response of the grid wire is calculated by the finite element method (FEM). Thermal-mechanical coupling analysis is carried out by ANSYS, and the MATLAB program is verified. Finally, the stochastic finite element method (SFEM) combined with the Monte Carlo method (MCM) is used to analyze the effects of the physical parameters, geometric parameters, and load uncertainties on the thermal response of the grid wire. The results show that the difference of temperature and strain calculated by ANSYS and MATLAB is 1.34% and 0.64%, respectively. The calculation program is accurate and effective. The primary sub-model method is suitable for the finite element modeling of strain gauge systems, and the number of elements is reduced effectively. The stochastic uncertainty analysis of the thermal response on the grid wire of a high-temperature strain gauge provides a theoretical basis for the dispersion of the measurement results of the strain gauge.

摘要

高温应变片是一种用于高温环境下应变测量的传感器。其测量结果常常存在一定的离散性，因此从理论上分析了高温应变片系统的不确定度。首先，在开展的研究中，利用MATLAB软件对应变片的温度场进行了确定性有限元分析。然后，采用主从子模型法对系统进行建模；在模型上施加等效热载荷和力。通过有限元法（FEM）计算网格丝的热响应。利用ANSYS进行热-机械耦合分析，并对MATLAB程序进行验证。最后，采用随机有限元法（SFEM）结合蒙特卡罗方法（MCM）分析物理参数、几何参数和载荷不确定性对网格丝热响应的影响。结果表明，ANSYS和MATLAB计算得到的温度和应变差值分别为1.34%和0.64%。计算程序准确有效。主从子模型法适用于应变片系统的有限元建模，有效减少了单元数量。高温应变片网格丝热响应的随机不确定度分析为应变片测量结果的离散性提供了理论依据。

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