李翔宇, 许杨剑, 王效贵, 梁利华. 基于卡尔曼滤波算法的功能梯度材料参数辨识[J]. 工程力学, 2013, 30(11): 251-259. DOI: 10.6052/j.issn.1000-4750.2012.07.0548
引用本文: 李翔宇, 许杨剑, 王效贵, 梁利华. 基于卡尔曼滤波算法的功能梯度材料参数辨识[J]. 工程力学, 2013, 30(11): 251-259. DOI: 10.6052/j.issn.1000-4750.2012.07.0548
LI Xiang-yu, XU Yang-jian, WANG Xiao-gui, LIANG Li-hua. DETERMINATION OF PROPERTIES OF GRATED MATERIALS BASED ON KALMAN FILTER ALGORITHM[J]. Engineering Mechanics, 2013, 30(11): 251-259. DOI: 10.6052/j.issn.1000-4750.2012.07.0548
Citation: LI Xiang-yu, XU Yang-jian, WANG Xiao-gui, LIANG Li-hua. DETERMINATION OF PROPERTIES OF GRATED MATERIALS BASED ON KALMAN FILTER ALGORITHM[J]. Engineering Mechanics, 2013, 30(11): 251-259. DOI: 10.6052/j.issn.1000-4750.2012.07.0548

基于卡尔曼滤波算法的功能梯度材料参数辨识

DETERMINATION OF PROPERTIES OF GRATED MATERIALS BASED ON KALMAN FILTER ALGORITHM

  • 摘要: 对于常用的陶瓷/金属(PSZ/NiCrAlY)功能梯度材料(FGM)的弹塑性本构参数确定问题,提出了一种改进的基于扩展卡尔曼滤波算法(EKF)的反演分析方法。该法以压痕试验中获得的荷载-压痕深度响应曲线为依据,结合有限元模拟,对材料参数进行反演辨识。反演过程中事先对实验和有限元模拟结果作逐步均化处理,以此降低系统和测量随机误差对反演结果的影响,提高问题解的收敛精度;同时,基于数值模拟结果,利用拉格朗日插值函数构建载荷-压痕深度响应面,以便插值获取任意参数组合下的响应值及其梯度值,从而提高反演的效率;另外,采用不同尺寸压头的荷载-压痕深度曲线来进一步地提高问题解的收敛性、精确性和适定性。该文从多个角度,对有效地获取FGM材料参数问题进行了详细的探讨,为材料参数的反演辨识研究提供了有益的参考。

     

    Abstract: To determine the elastic-plastic constitutive parameters of functionally graded material (FGM), an improved inverse analysis procedure based on the Extended Kalman Filter (EKF) technique was proposed. In this procedure, the load-indentation depth curves from indentation test were utilized in combination with finite element simulation to determine the material parameters. A gradual homogenization treatment of data both from test and finite element simulations was conducted to improve the accuracy of solution by reducing the effects of random errors from system and measurement. At the same time, the load-indentation depth response surfaces were constructed by Lagrange interpolation function based on the numerical simulation results in order to promptly obtain the resultant response from any set of material parameters in the prescribed domains, thereby greatly enhancing the efficiency of inverse analysis; Besides, two load-indentation depth curves obtained from different sizes of indenters were used as input data to carry out the inverse analysis, in order to further improve the convergence, accuracy and well-posedness of solutions. This paper addresses the identification of FGM material parameters in details from different aspects and accordingly provides a valuable reference for research on inverse problems.

     

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