A trigonometric interval method for dynamic response analysis of uncertain nonlinear systems

查看全文 作　　者：LIU [1]ZhuangZhuang;WANG [1]TianShu;LI [1]JunFeng

机构地区：[1]School of Aerospace, Tsinghua University

出　　处：《Science China(Physics,Mechanics & Astronomy)》索引2015年第58卷第4期,共13页

摘　　要：This paper proposes a new non-intrusive trigonometric polynomial approximation interval method for the dynamic response analysis of nonlinear systems with uncertain-but-bounded parameters and/or initial conditions.This method provides tighter solution ranges compared to the existing approximation interval methods.We consider trigonometric approximation polynomials of three types:both cosine and sine functions,the sine function,and the cosine function.Thus,special interval arithmetic for trigonometric function without overestimation can be used to obtain interval results.The interval method using trigonometric approximation polynomials with a cosine functional form exhibits better performance than the existing Taylor interval method and Chebyshev interval method.Finally,two typical numerical examples with nonlinearity are applied to demonstrate the effectiveness of the proposed method. 关键词：不确定非线性系统动态响应分析三角函数区间算术多项式逼近区间方法正弦函数不确定性

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A trigonometric interval method for dynamic response analysis of uncertain nonlinear systems

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