考虑传感器动态响应的气动热反演辨识方法研究  

Investigation of aerodynamic heat prediction method considering sensor dynamic response

作　　者：俞智超 陈鸿初 Yu Zhichao;Chen Hongchu(Zhejiang University,Hangzhou 310013,China)

机构地区：[1]浙江大学,杭州310013

出　　处：《空天技术》2024年第2期119-127,共9页Aerospace Technology

摘　　要：通过数学模型推导了双热电偶求解表面热流的线性标定积分方程,应用未来时间步的正则化方法及确定最优正则化参数的相平面与互相关系数法求解了积分方程。通过模拟实际飞行试验及设计两组标定实验得到标定积分方程方法所需的3组热电偶数据和2组标定热流数据,数值模拟了实际热电偶数据收集过程中会产生的噪声,用MATLAB求解了该情况下的导热反问题,在采用正则化方法并选取最优正则化参数γ后,得到了拟合度很高的表面热流密度预测结果。结果表明:标定积分方程方法可求解背表面边界条件未知的导热反问题,并具有很高的鲁棒性。标定积分方程方法可避免或减少传统求解导热反问题中所需要的包括热电偶动态响应参数、几何参数、传热材料热物性参数等的不确定性,提高了导热反演结果的准确性与可靠性。此外,探究了所使用的正则化方法中正则化参数γ对预测结果的影响。The linear calibration integral equation for predicting the surface heat flux with two thermocouples is derived by mathematical modeling.Future time regularization and the phase plane and crosscorrelation method for determining the optimal regularization parameters are applied.Through numerical simulation of the real flight test and two sets of calibration experiments,three sets of thermocouple data and two sets of calibration heat flux data required by the calibration integral equation method are obtained.The noise during the collection of actual thermocouple data is numerically added.The inverse heat conduction problem(IHCP)of aerodynamic heat prediction is simulated in MATLAB.The calibration integral equation is regularized and the optimal regularization parameterγare selected,which yield highly accurate surface heat flux prediction.The results indicate the calibration integral equation method can solve IHCP with unknown back surface boundary conditions,and has high robustness.The calibration integral equation method can avoid or reduce the uncertainty propagation of thermocouple dynamic response parameters,geometric parameters and thermophysical properties that are required in traditional IHCP methods,hence improve the accuracy and reliability of aerodynamic heat prediction.In addition,the influence of regularization parameter on the prediction results is also investigated.

关 键 词：高超声速飞行器 气动热辨识 导热反问题 标定积分方程方法 正则化 VOLTERRA积分方程 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程] V411