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Variational-Based Reduced-Order Model in Dynamic Substructuring of Coupled Structures Through a Dissipative Physical Interface: Recent Advances

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Abstract

This paper deals with a variational-based reduced-order model in dynamic substructuring of two coupled structures through a physical dissipative flexible interface. We consider the linear elastodynamic of a dissipative structure composed of two main dissipative substructures perfectly connected through interfaces by a linking substructure. The linking substructure is flexible and is modeled in the context of the general linear viscoelasticity theory, yielding damping and stiffness operators depending on the frequency, while the two main dissipative substructures are modeled in the context of linear elasticity with an additional classical viscous damping modeling which is assumed to be independent of the frequency. We present recent advances adapted to such a situation, which is positioned with respect to an appropriate review that we carry out on the different methods used in dynamic substructuring. It consists in constructing a reduced-order model using the free-interface elastic modes of the two main substructures and, for the linking substructure, an appropriate frequency-independent elastostatic lifting operator and the frequency-dependent fixed-interface vector basis.

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Acknowledgments

This research was partially supported by Brazil-France project CAPES-COFECUB Ph672/10.

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Authors and Affiliations

  1. Structural Mechanics and Coupled Systems Laboratory, Conservatoire National des Arts et Métiers (CNAM), 2 rue Conté, 75003 , Paris, France

    R. Ohayon

  2. Laboratoire Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRS, Université Paris-Est, 5 boulevard Descartes, 77454 , Marne-la-Vallée, France

    C. Soize

  3. Mechanical Engineering Department, PUC-Rio, 225 Rua Marquês de São Vicente, Rio de Janeiro, 22453-900, Brazil

    R. Sampaio

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  1. R. Ohayon
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Correspondence to C. Soize.

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Ohayon, R., Soize, C. & Sampaio, R. Variational-Based Reduced-Order Model in Dynamic Substructuring of Coupled Structures Through a Dissipative Physical Interface: Recent Advances. Arch Computat Methods Eng 21, 321–329 (2014). https://doi.org/10.1007/s11831-014-9107-y

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