A New Metamodeling Approach for Time-dependent Reliability of Dynamic Systems with Random Parameters Excited by Input Random Processes
Abstract
We propose a new metamodeling method to characterize the output \201response\202 random process of a dynamic system with random parameters, excited by input random processes. The metamodel can be then used to efficiently estimate the time-dependent reliability of a dynamic system using analytical or simulation-based methods. The metamodel is constructed by decomposing the input random processes using principal components or wavelets and then using a few simulations to estimate the distributions of the decomposition coefficients. A similar decomposition is also performed on the output random process. A kriging model is then established between the input and output decomposition coefficients and subsequently used to quantify the output random process corresponding to a realization of the input random parameters and random processes. What distinguishes our approach from others in metamodeling is that the system input is not deterministic but random. The quantified output random process is finally used to estimate the time-dependent reliability or probability of failure of the dynamic system using the total probability theorem. The proposed method is illustrated with a numerical example.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 09, 2014
- Accession Number
- ADA601992
Entities
People
- Dorin Drignei
- Igor Baseski
- Monica Majcher
- Zissimos P. Mourelatos
Organizations
- Oakland University