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Stochastic Multi-objective Optimisation of Exoskeleton Structures

Author

Listed:
  • Anna Reggio

    (Politecnico di Torino)

  • Rita Greco

    (Politecnico di Bari)

  • Giuseppe Carlo Marano

    (Politecnico di Torino)

  • Giuseppe Andrea Ferro

    (Politecnico di Torino)

Abstract

In this study, a structural optimisation problem, addressed through a stochastic multi-objective approach, is formulated and solved. The problem deals with the optimal design of exoskeleton structures, conceived as vibration control systems under seismic loading. The exoskeleton structure is assumed to be coupled to an existing primary inner structure for seismic retrofit: the aim is to limit the dynamic response of the primary structure to prevent structural damage. A non-stationary filtered Gaussian white noise stochastic process is taken as the seismic input. Design variables pertain to the mechanical properties (stiffness, damping) of the exoskeleton structure. Two concurrent and competing objective functions are introduced, in order to take into account not only safety performance but also economic cost considerations. The resulting trade-off is solved searching the Pareto front by way of a controlled elitist genetic algorithm, derived from the Non-dominated Sorting Genetic Algorithm-II. Sensitivities of Pareto fronts and Pareto optimal sets to different system parameters are finally investigated by way of a numerical application.

Suggested Citation

  • Anna Reggio & Rita Greco & Giuseppe Carlo Marano & Giuseppe Andrea Ferro, 2020. "Stochastic Multi-objective Optimisation of Exoskeleton Structures," Journal of Optimization Theory and Applications, Springer, vol. 187(3), pages 822-841, December.
    • Handle: RePEc:spr:joptap:v:187:y:2020:i:3:d:10.1007_s10957-020-01778-8
    DOI: 10.1007/s10957-020-01778-8
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    References listed on IDEAS

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    1. Acciani, Giuseppe & Di Modugno, Filomena & Abrescia, Angelamaria & Marano, Giuseppe C., 2016. "Integration algorithm for covariance nonstationary dynamic analysis using equivalent stochastic linearization," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 125(C), pages 70-82.
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