Nonlinear stochastic dynamic analysis for performance based multi-objective optimum design considering life cycle seismic loss estimation

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  • University of Liverpool
  • Columbia University
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Details

Original languageEnglish
Number of pages8
Publication statusPublished - 2015
Externally publishedYes
Event12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2012 - Vancouver, Canada
Duration: 12 Jul 201515 Jul 2015

Conference

Conference12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2012
Country/TerritoryCanada
CityVancouver
Period12 Jul 201515 Jul 2015

Abstract

A performance-based multi-objective design optimization framework for nonlinear/hysteretic multi-degree-of-freedom (MDOF) structural systems subject to evolutionary stochastic excitation is formulated. The core of the developed framework is an efficient approximate dimension reduction technique based on the concepts of statistical linearization and of stochastic averaging for determining the non-stationary system response amplitude probability density functions (PDFs); thus, computationally intensive Monte Carlo simulations are circumvented. Note that the approach can handle readily stochastic excitations of arbitrary non-separable evolutionary power spectrum (EPS) forms that exhibit strong variability in both the intensity and the frequency content. Further, approximate closed-form expressions are derived for the non-stationary inter-story drift ratio amplitude PDFs corresponding to each and every DOF. In this regard, considering appropriately defined damage measures structural system related fragility curves are determined at a low computational cost as well. Finally, the structural system design optimization problem is formulated as a multi-objective one to be solved by a Genetic Algorithm based approach. A building structure comprising the versatile Bouc-Wen (hysteretic) model serves as an example for demonstrating the efficiency of the methodology.

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Nonlinear stochastic dynamic analysis for performance based multi-objective optimum design considering life cycle seismic loss estimation. / Mitseas, Ioannis P.; Kougioumtzoglou, Ioannis A.; Beer, Michael.
2015. Paper presented at 12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2012, Vancouver, Canada.

Research output: Contribution to conferencePaperResearchpeer review

Mitseas, IP, Kougioumtzoglou, IA & Beer, M 2015, 'Nonlinear stochastic dynamic analysis for performance based multi-objective optimum design considering life cycle seismic loss estimation', Paper presented at 12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2012, Vancouver, Canada, 12 Jul 2015 - 15 Jul 2015. https://doi.org/10.14288/1.0076149
Mitseas, I. P., Kougioumtzoglou, I. A., & Beer, M. (2015). Nonlinear stochastic dynamic analysis for performance based multi-objective optimum design considering life cycle seismic loss estimation. Paper presented at 12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2012, Vancouver, Canada. https://doi.org/10.14288/1.0076149
Mitseas IP, Kougioumtzoglou IA, Beer M. Nonlinear stochastic dynamic analysis for performance based multi-objective optimum design considering life cycle seismic loss estimation. 2015. Paper presented at 12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2012, Vancouver, Canada. doi: 10.14288/1.0076149
Mitseas, Ioannis P. ; Kougioumtzoglou, Ioannis A. ; Beer, Michael. / Nonlinear stochastic dynamic analysis for performance based multi-objective optimum design considering life cycle seismic loss estimation. Paper presented at 12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2012, Vancouver, Canada.8 p.
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