复合材料基体裂纹损伤演化的自适应粒子滤波预测  

Adaptive Particle Filtering Prediction of Crack Damage Evolution in Composite Materials

作　　者：刘小峰[1] 张天瑀 韦代平 柏林[1] 陈兵奎[1] LIU Xiaofeng;ZHANG Tianyu;WEI Daiping;BO Lin;CHEN Bingkui(College of mechanical and Transportation Engineering,Chongqing University,Chongqing,400044)

机构地区：[1]重庆大学机械与运载工程学院,重庆400044

出　　处：《机械工程学报》2024年第18期32-42,共11页Journal of Mechanical Engineering

基　　金：国家科技重大专项(J2019-IV-0001-0068);国家自然科学基金(52175077)项目资助。

摘　　要：针对复合材料层合板基体裂纹的监测数据小样本特性、损伤参数量测的随机性、退化模型的不确定性等问题,结合基于能量释放率的基体裂纹演化模型,提出复合材料剩余使用寿命的自适应粒子滤波预测方法。该方法首先采用复合材料裂纹损伤的剪滞模型法,从微观力学角度分析了层合板基体裂纹密度与其有效刚度间的解析关系,在此基础上构建基于应变能释放率的层合板裂纹损伤正演模型。然后,综合考虑层合板损伤演化的个体差异性、模型误差、测量噪声等不确定性因素,以复合材料层合板的有效刚度及基体裂纹密度为观测量,建立层合板疲劳损伤的多参量动态状态空间。最后,采用自适应粒子滤波算法对层合板裂纹损伤的演化趋势进行预测评估,同时对每个载荷循环次数下的层合板剩余寿命进行迭代估计。有限元仿真与试验分析表明,模型预测方法揭示了层合板裂纹损伤的渐进演化规律,不仅能够对损伤状态进行有效追踪而且能准确地预测出层合板的剩余使用寿命。In view of the small samples of composite laminate fatigue crack data,the randomness of damage parameters measurement,and the uncertainty of degradation model,the method of predicting the remaining service life of composite materials is proposed by combining the matrix crack evolution model based strain energy release rate and the particle filtering with adaptive parameter optimization.Firstly,the shear-lag model of composite crack damage is used to analyze the analytical relationship between the matrix crack density and the laminate effective stiffness from the micromechanical point of view,based on which the strain energy release rate based laminate cracking evolution model is constructed.Secondly,taking into account the individual variability of laminate damage evolution,modeling errors,measurement noises and other uncertainties,by taking the effective stiffness and matrix crack density in the laminate as the observed quantities,a multi-parameter dynamic state space of laminate fatigue damage is established.Finally,the adaptive particle-filtering algorithm is utilized to evaluate the continuous evolution of laminate crack damage,and then the remaining useful life under different load cycles is predicted iteratively.The finite element simulation and experimental analysis showed that the proposed model and prediction method not only reveal the progressive evolution law of laminate crack damage,but also can effectively track the damage state and accurately predict the remaining useful life of the laminate.

关 键 词：复合材料层合板 应变能释放率模型 自适应粒子滤波 寿命预测 

分 类 号：TP33[自动化与计算机技术—计算机系统结构]