TY - JOUR
T1 - Interval analysis for dynamic response of nonlinear structures with uncertainties
AU - Qiu, Zhiping
AU - Ma, Lihong
AU - Wang, Xiaojun
PY - 2006/9
Y1 - 2006/9
N2 - 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.
AB - 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.
KW - Dynamic response
KW - Interval analysis method
KW - Nonlinear vibration system
KW - Parameters of uncertainty
KW - Probability perturbation finite element method
UR - https://www.scopus.com/pages/publications/33751402214
M3 - 文章
AN - SCOPUS:33751402214
SN - 0459-1879
VL - 38
SP - 645
EP - 651
JO - Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
JF - Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
IS - 5
ER -