圣地亚结构动力学问题模型确认与评估

THE MODEL VALIDATION AND EVALUATION ON THE SANDIA'S STRUCTURAL DYNAMICS CHALLENGE PROBLEM

考虑模型的不确定性与建模误差等因素,是现代模型确认的研究特点.为了研究现代模型确认过程中的建模、模型确认准则等核心问题,以圣地亚提出的结构动力学挑战问题为研究实例,采用正态分布和非参数核密度估计研究了参数不确定性建模,并且通过所采用的两条确认准则对所建立的数学模型进行了确认研究,并最终得到了较好的数学模型.通过该实例的具体开展,发现联合使用多条确认准则可对所建原始模型进行更科学的评估确认.

The modern model validation considers uncertainty and the modeling error.In order to study modeling and validation criterions in the model validation course,in this paper,the normal distribution and nonparametric kernel density estimate（KDE） are adopted to test the uncertain modeling by an example of the Sandia＇s structural dynamics challenge problem.At the same time,two validation criterions are adopted for model validation to obtain a better model.It is shown that by combining two validation criterions in the processes of model validation,better results can be expected.