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不确定非线性结构动力响应的区间分析方法 被引量：24

INTERVAL ANALYSIS FOR DYNAMIC RESPONSE OF NONLINEAR STRUCTURES WITH UNCERTAINTIES
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摘要 研究多自由度非线性不确定参数系统的动力响应问题．以区间数学为基础,将不确定性参数用区间进行定量化,借助一阶Taylor级数,给出了近似估计非线性振动系统动力响应范围的区间分析方法．从数学证明和数值算例两方面,将其与概率摄动有限元法进行了比较,结果显示区间分析方法对不确定参数先验信息具有要求较少、精度较高的优点． Dynamic response of the MDOF nonlinear vibration system with parameters of uncertainty is studied. Based on interval mathematics, with the parameters of uncertainty being modelled as interval numbers, a new method is proposed to approximately estimate the nonlinear dynamic response range with the help of first-order Taylor series. Comparisons between the interval analysis and the probability perturbation finite element method are made with respect to the mathematical proof and numerical examples, and the advantages of the presented method are shown, including less prior information being required for parameters of uncertainty and higher accuracy.
作者 邱志平 马丽红 王晓军
机构地区 北京航空航天大学固体力学研究所
出处 《力学学报》 EI CSCD 北大核心 2006年第5期645-651,共7页 Chinese Journal of Theoretical and Applied Mechanics
基金 国家杰出青年科学基金(10425208) 国家自然科学基金委与中国工程物理研究院联合基金(10376002)资助项目.~~
关键词 动力响应 非线性振动系统 区间分析方法 概率摄动有限元法 不确定参数 dynamic response, nonlinear vibration finite element method, parameters of uncertainty system, interval analysis method, probability perturbation
分类号 O327 [理学—一般力学与力学基础]
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参考文献8

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二级参考文献7

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共引文献16

同被引文献180

引证文献24

二级引证文献72

力学学报
2006年 第5期

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