MPP-based correlated function expansion for reliabilities and moments of uncertain dynamical system

Chowdhury, R. and Adhikari, S.
2nd International Conference on Uncertainty in Structural Dynamics (USD 2009), Sheffield, UK, June 15-17, 2009.

Reliability analysis of uncertain dynamical system is considered in this study. The excitations and structural properties are modeled as non-stationary Gaussian processes and non- Gaussian random variables, respectively. The structural responses are therefore non-Gaussian processes, the statistics of which are not generally available in closed form. The limit state is formulated in terms of the extreme value distribution of the response random process. Developing these extreme value statistics analytically is not straight-forward, which makes failure probability estimations difficult. An alternative procedure, based on a newly developed MPP-based correlated function expansion method, is used for computing exceedance probabilities. This involves generating a full functional operational model, which approximates the limit surface in the neighborhood of MPP. Once the explicit form of original limit state is defined, the failure probability can be obtained by statistical simulation. Thus, the method can be integrated with commercial finite element software, which permits uncertainty analysis of large structures with complexities that include material and geometric nonlinear behavior.
BiBTeX Entry
@INPROCEEDINGS{cp71,
    AUTHOR={R. Chowdhury and S. Adhikari},
    TITLE={MPP-based correlated function expansion for reliabilities and moments of uncertain dynamical system},
    BOOKTITLE={2nd International Conference on Uncertainty in Structural Dynamics (USD)},
    YEAR={2009},
    page={185-192},
    Address={Sheffield, UK},
    Month={June}
}
by Sondipon Adhikari