Interval analysis method for response analysis of nonlinear vibration systems with uncertain parameters
不确定非线性结构动力响应的区间分析方法

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.