Excursion Probabilities of Non-Linear Systems
نویسندگان
چکیده
This paper suggests a procedure for estimating excursion probabilities for linear and non-linear systems subjected to Gaussian excitation processes. In this paper, the focus is on non-linear systems which might also have stochastic properties. The approach is based on the so called “averaged excursion probability flow” which allows for a simple solution for the interaction in excursion problems. Simplifying, the dynamic reliability problem can be reduced to a simpler “static” problem by considering the probability flow at fixed time instances. The proposed approach is very general and can be applied to both linear and non-linear systems of which the response can be determined by deterministic methods. Hence the procedure applies to arbitrary structures and any suitable mathematical model including large FEmodels solved by deterministic FE-codes.
منابع مشابه
Excursion Probabilities for Linear and Non-linear Systems
This paper suggests a procedure for estimating excursion probabilities for linear and nonlinear systems subjected to Gaussian excitation processes. The stochastic excitation process is modeled most generally by the Karhunen-Loève expansion. The approach is based on the so called “averaged excursion probability flow” which allows for a simple solution for the interaction in excursion problems. S...
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