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中文摘要：
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最化，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．
英文摘要：
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.
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