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动力学有限元模型的模糊评估
引用本文:张安平,王轲.动力学有限元模型的模糊评估[J].南京航空航天大学学报,2006,38(3):367-372.
作者姓名:张安平  王轲
作者单位:南京航空航天大学航空宇航学院,南京,210016
摘    要:由于结构动力学有限元模型的评估具有主观性,本文将模糊数学有关理论应用于动力学有限元模型的评估,提出了一种动力学有限元模型的一致性模糊综合评估方法。评估中将动力学模型计算振型、频率与试验结果相比较,通过建立模型的评判对象因素集、评价集和权重集,寻找隶属函数,构造模糊关系矩阵,完成有限元模型的模糊综合评估。该方法不仅能界定有限元模型是否可用,还能对多个模型进行排队选优。文中算例表明了该方法对单个模型评估准确,并能从多个模型中选出最优者。

关 键 词:结构动力学  综合评估  模糊数学  模态  有限元
文章编号:1005-2615(2006)03-0367-06
收稿时间:2005-04-01
修稿时间:2005-05-11

Fuzzy Evaluation of Dynamics Finite Element Model
Zhang Anping,Wang Ke.Fuzzy Evaluation of Dynamics Finite Element Model[J].Journal of Nanjing University of Aeronautics & Astronautics,2006,38(3):367-372.
Authors:Zhang Anping  Wang Ke
Abstract:Due to the evaluation of structural dynamics finite element model having the factor of subjectivity,the related theory of fuzzy mathematics is used to evaluate the dynamic finite element model.A kind of consistency fuzzy comprehensive evaluation method for the dynamic finite element model is presented.Calculated shapes and frequencies of the dynamics model are compared with that of the experimental results during the evaluation.By setting up factor sets,evaluation sets and power sets,identifying the membership function and constructing fuzzy relation matrix,the fuzzy comprehensive evaluation is fulfilled.The method confirms whether the finite element model is usable or not,and select the best one among several models.The example shows that the method is accurate in evaluating one model and can select the best one from several models.
Keywords:structural dynamics  comprehensive evaluation  fuzzy mathematics  mode  finite element
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