Optimal design of nonlinear structures under evolutionary stochastic earthquake excitations

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  • University of Liverpool
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Details

Original languageEnglish
Title of host publicationOPT-i 2014 - 1st International Conference on Engineering and Applied Sciences Optimization, Proceedings
EditorsN. D. Lagaros, Matthew G. Karlaftis, M. Papadrakakis
Pages2213-2233
Number of pages21
ISBN (electronic)9789609999465
Publication statusPublished - 2014
Externally publishedYes
Event1st International Conference on Engineering and Applied Sciences Optimization, OPT-i 2014 - Kos Island, Greece
Duration: 4 Jun 20146 Jun 2014

Abstract

A novel methodology for optimal structural system design considering life cycle seismic loss estimation is developed. Specifically, a performance-based multi-objective design optimization framework is proposed for nonlinear/hysteretic multi-degree-of-freedom (MDOF) structural systems under evolutionary stochastic earthquake excitations. The core of the proposed framework is a recently developed efficient approximate analytical system response determination technique which can readily handle cases of nonlinear/hysteretic systems and of non-stationary stochastic excitations of arbitrary evolutionary power spectrum forms. Thus, the non-stationary response amplitude probability density functions (PDFs) of the inter-storey drift ratios (IDRs) are efficiently determined, circumventing computationally intensive Monte Carlo simulations. Note that the proposed framework allows for making explicit the relationship between the stochastic earthquake excitations, the non-stationary response amplitude PDFs of the IDRs, and the expected value of the life cycle seismic losses. In this regard, an efficient determination of Pareto optimal solutions is implemented. Further, the multi-objective optimization problem is solved by employing a Genetic Algorithm based approach to determine Pareto optimal solutions, which is specifically tailored to meet the characteristics of the problem under consideration. Hence, various possible solutions including the design that best represents the outcome that the designer considers potentially satisfactory are obtained. An illustrative numerical example, comprising the versatile Bouc-Wen (hysteretic) model is considered to demonstrate the efficiency and robustness of the proposed methodology.

Keywords

    Evolutionary stochastic excitations, Hysteretic systems, Life-cycle loss estimation, Multi-objective optimization, Statistical linearization, Stochastic dynamics

ASJC Scopus subject areas

Cite this

Optimal design of nonlinear structures under evolutionary stochastic earthquake excitations. / Mitseas, Ioannis P.; Kougioumtzoglou, Ioannis A.; Beer, Michael.
OPT-i 2014 - 1st International Conference on Engineering and Applied Sciences Optimization, Proceedings. ed. / N. D. Lagaros; Matthew G. Karlaftis; M. Papadrakakis. 2014. p. 2213-2233.

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Mitseas, IP, Kougioumtzoglou, IA & Beer, M 2014, Optimal design of nonlinear structures under evolutionary stochastic earthquake excitations. in ND Lagaros, MG Karlaftis & M Papadrakakis (eds), OPT-i 2014 - 1st International Conference on Engineering and Applied Sciences Optimization, Proceedings. pp. 2213-2233, 1st International Conference on Engineering and Applied Sciences Optimization, OPT-i 2014, Kos Island, Greece, 4 Jun 2014.
Mitseas, I. P., Kougioumtzoglou, I. A., & Beer, M. (2014). Optimal design of nonlinear structures under evolutionary stochastic earthquake excitations. In N. D. Lagaros, M. G. Karlaftis, & M. Papadrakakis (Eds.), OPT-i 2014 - 1st International Conference on Engineering and Applied Sciences Optimization, Proceedings (pp. 2213-2233)
Mitseas IP, Kougioumtzoglou IA, Beer M. Optimal design of nonlinear structures under evolutionary stochastic earthquake excitations. In Lagaros ND, Karlaftis MG, Papadrakakis M, editors, OPT-i 2014 - 1st International Conference on Engineering and Applied Sciences Optimization, Proceedings. 2014. p. 2213-2233
Mitseas, Ioannis P. ; Kougioumtzoglou, Ioannis A. ; Beer, Michael. / Optimal design of nonlinear structures under evolutionary stochastic earthquake excitations. OPT-i 2014 - 1st International Conference on Engineering and Applied Sciences Optimization, Proceedings. editor / N. D. Lagaros ; Matthew G. Karlaftis ; M. Papadrakakis. 2014. pp. 2213-2233
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title = "Optimal design of nonlinear structures under evolutionary stochastic earthquake excitations",
abstract = "A novel methodology for optimal structural system design considering life cycle seismic loss estimation is developed. Specifically, a performance-based multi-objective design optimization framework is proposed for nonlinear/hysteretic multi-degree-of-freedom (MDOF) structural systems under evolutionary stochastic earthquake excitations. The core of the proposed framework is a recently developed efficient approximate analytical system response determination technique which can readily handle cases of nonlinear/hysteretic systems and of non-stationary stochastic excitations of arbitrary evolutionary power spectrum forms. Thus, the non-stationary response amplitude probability density functions (PDFs) of the inter-storey drift ratios (IDRs) are efficiently determined, circumventing computationally intensive Monte Carlo simulations. Note that the proposed framework allows for making explicit the relationship between the stochastic earthquake excitations, the non-stationary response amplitude PDFs of the IDRs, and the expected value of the life cycle seismic losses. In this regard, an efficient determination of Pareto optimal solutions is implemented. Further, the multi-objective optimization problem is solved by employing a Genetic Algorithm based approach to determine Pareto optimal solutions, which is specifically tailored to meet the characteristics of the problem under consideration. Hence, various possible solutions including the design that best represents the outcome that the designer considers potentially satisfactory are obtained. An illustrative numerical example, comprising the versatile Bouc-Wen (hysteretic) model is considered to demonstrate the efficiency and robustness of the proposed methodology.",
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AU - Mitseas, Ioannis P.

AU - Kougioumtzoglou, Ioannis A.

AU - Beer, Michael

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N2 - A novel methodology for optimal structural system design considering life cycle seismic loss estimation is developed. Specifically, a performance-based multi-objective design optimization framework is proposed for nonlinear/hysteretic multi-degree-of-freedom (MDOF) structural systems under evolutionary stochastic earthquake excitations. The core of the proposed framework is a recently developed efficient approximate analytical system response determination technique which can readily handle cases of nonlinear/hysteretic systems and of non-stationary stochastic excitations of arbitrary evolutionary power spectrum forms. Thus, the non-stationary response amplitude probability density functions (PDFs) of the inter-storey drift ratios (IDRs) are efficiently determined, circumventing computationally intensive Monte Carlo simulations. Note that the proposed framework allows for making explicit the relationship between the stochastic earthquake excitations, the non-stationary response amplitude PDFs of the IDRs, and the expected value of the life cycle seismic losses. In this regard, an efficient determination of Pareto optimal solutions is implemented. Further, the multi-objective optimization problem is solved by employing a Genetic Algorithm based approach to determine Pareto optimal solutions, which is specifically tailored to meet the characteristics of the problem under consideration. Hence, various possible solutions including the design that best represents the outcome that the designer considers potentially satisfactory are obtained. An illustrative numerical example, comprising the versatile Bouc-Wen (hysteretic) model is considered to demonstrate the efficiency and robustness of the proposed methodology.

AB - A novel methodology for optimal structural system design considering life cycle seismic loss estimation is developed. Specifically, a performance-based multi-objective design optimization framework is proposed for nonlinear/hysteretic multi-degree-of-freedom (MDOF) structural systems under evolutionary stochastic earthquake excitations. The core of the proposed framework is a recently developed efficient approximate analytical system response determination technique which can readily handle cases of nonlinear/hysteretic systems and of non-stationary stochastic excitations of arbitrary evolutionary power spectrum forms. Thus, the non-stationary response amplitude probability density functions (PDFs) of the inter-storey drift ratios (IDRs) are efficiently determined, circumventing computationally intensive Monte Carlo simulations. Note that the proposed framework allows for making explicit the relationship between the stochastic earthquake excitations, the non-stationary response amplitude PDFs of the IDRs, and the expected value of the life cycle seismic losses. In this regard, an efficient determination of Pareto optimal solutions is implemented. Further, the multi-objective optimization problem is solved by employing a Genetic Algorithm based approach to determine Pareto optimal solutions, which is specifically tailored to meet the characteristics of the problem under consideration. Hence, various possible solutions including the design that best represents the outcome that the designer considers potentially satisfactory are obtained. An illustrative numerical example, comprising the versatile Bouc-Wen (hysteretic) model is considered to demonstrate the efficiency and robustness of the proposed methodology.

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