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工程力学  2013 

基于卡尔曼滤波算法的功能梯度材料参数辨识

DOI: 10.6052/j.issn.1000-4750.2012.07.0548, PP. 251-259

Keywords: 卡尔曼滤波,压痕,有限元法,反演分析,响应面

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Abstract:

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。

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