TY - JOUR
T1 - First passage probabilities of structural dynamics system based on domain decomposition
AU - Ren, Limei
AU - Xu, Wei
PY - 2013/5
Y1 - 2013/5
N2 - The first passage problems of linear and nonlinear dynamical systems excited by Gauss white noise are considered. For linear dynamical system, the failure domain can be described as a union of mutually exclusive events, and every event is completely described by a local design point. The paper uses standard Gaussian distribution instead of chi-square distribution to estimate the parameter of first passage probability. For nonlinear dynamical system, the equivalent linear system is carried out based on the out-crossing theory. The linearization principle is that nonlinear and linear systems have the same up-crossing rate for a specified threshold. Finally the paper gives two examples. The results show that the method of the paper suggested is correct and effective by comparing with the Monte Carlo method.
AB - The first passage problems of linear and nonlinear dynamical systems excited by Gauss white noise are considered. For linear dynamical system, the failure domain can be described as a union of mutually exclusive events, and every event is completely described by a local design point. The paper uses standard Gaussian distribution instead of chi-square distribution to estimate the parameter of first passage probability. For nonlinear dynamical system, the equivalent linear system is carried out based on the out-crossing theory. The linearization principle is that nonlinear and linear systems have the same up-crossing rate for a specified threshold. Finally the paper gives two examples. The results show that the method of the paper suggested is correct and effective by comparing with the Monte Carlo method.
KW - Domain decomposition
KW - Equivalent linearization
KW - First passage probability
KW - Structural reliability
UR - http://www.scopus.com/inward/record.url?scp=84879513714&partnerID=8YFLogxK
U2 - 10.6052/0459-1879-12-355
DO - 10.6052/0459-1879-12-355
M3 - 文章
AN - SCOPUS:84879513714
SN - 0459-1879
VL - 45
SP - 421
EP - 425
JO - Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
JF - Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
IS - 3
ER -