1. Robustness‐evaluation of a stochastic dynamic system and the instant equivalent extreme‐value event.
- Author
-
Ding, Luchuan, Botte, Wouter, Van Coile, Ruben, and Caspeele, Robby
- Subjects
ROBUST statistics ,DYNAMICAL systems ,MATHEMATICAL equivalence ,PROBABILITY theory ,STOCHASTIC analysis - Abstract
Abstract: Many theoretical methods for evaluating robustness have been developed in the last decades. Especially probability‐based robustness quantification promises to provide a rational basis for decision‐making. To allow for this type of robustness evaluation, the probability of failure (or the corresponding reliability index) of the structural system in the damaged and the undamaged state has to be determined. In this paper, the Probability Density Evolution Method (PDEM) is used to evaluate the dynamic reliability, taking into account the randomness which comes both from the excitation and from the stochastic system properties. The efficiency of the PDEM for robustness quantification is evaluated through a simple cargo crane example case. In addition, the instant equivalent extreme‐value event, which is quite different from the equivalent extreme‐value event for one variable, is applied to obtain the extreme value of reaction forces for each sample at instant time. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF