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Dynamic transient analysis of systems with material nonlinearity: a model order reduction approach
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  • Journal title : Smart Structures and Systems
  • Volume 18, Issue 1,  2016, pp.1-16
  • Publisher : Techno-Press
  • DOI : 10.12989/sss.2016.18.1.001
 Title & Authors
Dynamic transient analysis of systems with material nonlinearity: a model order reduction approach
Casciati, F.; Faravelli, L.;
Model Order Reduction (MOR) denotes the theory by which one tries to catch a model of order lower than that of the real model. This is conveniently pursued in view of the design of an efficient structural control scheme, just passive within this paper. When the nonlinear response of the reference structural system affects the nature of the reduced model, making it dependent on the visited subset of the input-output space, standard MOR techniques do not apply. The mathematical theory offers some specific alternatives, which however involve a degree of sophistication unjustified in the presence of a few localized nonlinearities. This paper suggests applying standard MOR to the linear parts of the structural system, the interface remaining the original unreduced nonlinear components. A case study focused on the effects of a helicopter land crash is used to exemplify the proposal.
helicopter;model order reduction;nonlinearity;soil structure interaction;vibration mitigation;
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Basu, B., Bursi, O.S., Casciati, F. et al. (2014), "A European association for the control of structures joint perspective. Recent studies in civil structural control across Europe", Struct. Control Health Monit., 21(12), 1414-1436. crossref(new window)

Casciati, F, and Casciati, S. (2006), "Structural health monitoring by Lyapunov exponents of non-linear time series" , Struct. Control Health Monit., 13(1), 132-146. crossref(new window)

Casciati, F. and Casciati, S. (2016), "Designing the control law on reduced-order models of large structural systems", Struct. Control Health Monit., 23(4) ,707-718. crossref(new window)

Casciati, F. and Faravelli, L. (1991), Fragility analysis of complex structural systems, Research Studies Press, Taunton, UK.

Casciati, F. and Faravelli, L. (2012), "Model order reduction issues for integrated structural control design", Adv. Sci. Technol., 83, 37. crossref(new window)

Casciati, F. and Faravelli, L. (2014), "Sensor placement driven by a model order reduction (MOR) reasoning", Smart Struct. Syst., 13(3), 343-352. crossref(new window)

Casciati, S. (2014), "Differential evolution approach to reliability-oriented optimal design", Probab. Eng. Mech., 36, 72-80. crossref(new window)

Casciati, S. and Borja, R.L. (2004), "Dynamic FE analysis of south Memnon colossus including 3D soil-foundation-structure interaction", Comput. Struct., 82(20-21), 1719-1736. crossref(new window)

Casciati, S. and Faravelli, L. (2014), "Quantity vs. quality in the model order reduction (MOR) of a linear system", Smart Struct. Syst., 13(1), 99-109. crossref(new window)

Casciati, S. and Osman, A. (2005), "Damage assessment and retrofit study for the Luxor Memnon colossi", Struct. Control Health Monit., 12(2), 139-156. crossref(new window)

Casciati, S., Chassiakos, A.G. and Masri, S.F. (2014), "Toward a paradigm for civil structural control", Smart Struct. Syst., 14(5), 981-1004. crossref(new window)

Faravelli, L. and Bigi, D. (1990), "Stochastic finite-elements for crash problems", Struct. Saf., 8(1-4), 113-130. crossref(new window)

Farhat, C., Avery, Ph., Chapman, T. and Cortial, J. (2014), "Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency", Int. J. Numer. Meth. Eng., 98(9), 625-662. crossref(new window)

Farhat, C., Chapman, T. and Avery, Ph. (2015), "Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models", Int. J. Numer. Meth. Eng, 102(5), 1077-1110. crossref(new window)

15. (1999)

16. (2004)

17. (2004)

18. (2004)

19. (2008)

Marchese, R. (2015), Propagazione spazio-temporale degli effetti di un'esplosione (in Italian), Civil Engineering Master Thesis, University of Pavia.