A homogenized modeling technique is developed in this paper to account for viscous damping properties in beam-like lattice structures of repeated patterns. Necessary assumptions regarding the local free deformations, shear deformation beam theory, and compatibility conditions are made to obtain an equivalent continuum model of a three-dimensional lattice. A dissipated energy equivalence approach is then used to relate the energy dissipation for a general case of damping matrix in a lattice element to an equivalent proportionally damped model. As a result, a continuum model with Kelvin–Voigt damping is obtained. Damped bending natural frequencies, frequency response functions, and damping ratios are found using this method and compared to the results of a finite-element analysis for several structures for the purpose of validation.


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    Titel :

    Damping in Periodic Structures: A Continuum Modeling Approach


    Beteiligte:
    Salehian, A. (Autor:in) / Ibrahim, M. (Autor:in) / Seigler, T. M. (Autor:in)

    Erschienen in:

    AIAA Journal ; 52 , 3 ; 569-590


    Erscheinungsdatum :

    2014-01-31


    Format / Umfang :

    22 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch






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