基于Monte Carlo法的结构动力学模型确认  

Structural dynamics model validation based on monte carlo method

作　　者：陈志国[1] 邓忠民[1] 毕司峰[1] 

机构地区：[1]北京航空航天大学宇航学院,北京100019

出　　处：《振动与冲击》2013年第16期76-81,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金(10972019);北航研究生创新实践基金

摘　　要：提出一种蒙特卡洛模拟(MCS)与多元回归分析相结合的有限元模型确认方法。采用基于动态响应面法生成的代理模型改进直接MCS,用一种逐步迭代的方式改进代理模型保证模型确认的精度。传统欧氏距离/马氏距离从不同方面描述了两点间距离,然而如果在距离准则中能够同时考虑两者则会更全面。在相关性分析过程中,综合欧氏/马氏距离的特点,采用了一种欧氏/马氏距离相结合的不确定量化方法(距离判别方法),并给出了基于此指标的迭代收敛判断准则。算例仿真结果表明:所提出的有限元模型确认方法和此距离判别方法的使用,能比较大地降低MCS的计算量并能得到满意的模型确认结果,迭代收敛的稳定性和精度都有了提高。A statistical method based on Monte Carlo simulation（MCS） and multiple regression analysis was presented for FEM model validation.An agent model created by response surface method was used to improve the direct MCS for guaranteeing the accuracy of model validation.The traditional Euclidean and Mahalanobis Distances,which describe the distance between two points from different aspects,were summed up to be both considered in the uncertainty quantification so that might be more comprehensive.In the process of correlation analysis,the synthesized distances were used as the correlation measure and the iteration convergence judgment criteria based on these two distance were provided.Simulation results show that the presented method as well as the distance criterion can greatly reduce the time consuming in calculation,get satisfactory results of model validation,provide a more stable approximation process and enhance the accuracy of the result.

关 键 词：模型确认 不确定性 距离准则 蒙特卡洛模拟 响应面 

分 类 号：TH212[机械工程—机械制造及自动化] TH213.3