%0 Journal Article
%T Interval analysis method for response analysis of nonlinear vibration systems with uncertain parameters<br>不确定非线性结构动力响应的区间分析方法
%A Qiu Zhiping
%A Ma Lihong
%A Wang Xiaojun
%A <br>邱志平
%A 马丽红
%A 王晓军
%J 力学学报
%D 2006
%I 
%X 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.
%K dynamic response
%K nonlinear vibration finite element method
%K parameters of uncertainty system
%K interval analysis method
%K probability perturbation<br>动力响应
%K 非线性振动系统
%K 区间分析方法
%K 概率摄动有限元法
%K 不确定参数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=3C4A262518F4AB60&yid=37904DC365DD7266&vid=16D8618C6164A3ED&iid=94C357A881DFC066&sid=9107B2E171152411&eid=7004BE6E41AAF52C&journal_id=0459-1879&journal_name=力学学报&referenced_num=6&reference_num=8