Published since 1923
DOI: 10.33622/0869-7019
Russian Science Citation Index (RSCI) на платформе Web of Science
  • TO THE 100TH ANNIVERSARY OF MISI-MGSU
  • Non-Local Damping Models In Dynamic Calculations Of Structures Made Of Composite Materials
  • UDC 51-74 DOI: 10.33622/0869-7019.2021.09.66-70
    Vladimir N. SIDOROV1,2, e-mail: sidorov.vladimir@gmail.com
    Elena S. BADINA1,2,3, e-mail: shepitko-es@mail.ru
    1 Moscow State University of Civil Engineering (National Research University), Yaroslavskoe shosse, 26, Moscow 129337, Russian Federation
    2 Russian University of Transport, ul. Obrazcova, 9, str. 9, Moscow 127994, Russian Federation
    3 Institute of Applied Mechanics of Russian Academy of Sciences, Leningradsky prospekt, 7, Moscow 125040, Russian Federation
    Abstract. The article is devoted to the study and development of non-local mathematical models of damping properties of the building structures made of structurally complex materials (composite and nano-materials) for use in their calculations for the action of dynamic loads. The classical damping models quite satisfactorily simulate the dissipative properties of structures made from traditional building materials (concrete, steel). However, the results of experimental tests show their significant discrepancy with the results of dynamic calculations of structures made of such structurally complex materials. One of the progressive modern approaches to adequate modeling of dissipative manifestations of building structures made of structurally complex materials at their resistance to dynamic influences is the use of a fractional differentiation apparatus. An alternative approach based on the provisions of non-local mechanics is presented. The developed non-local models are controllable, their calibration is carried out according to the results of the experiment using the least squares method. At the same time, both analytical and numerical models, organically included in the algorithms for calculating building structures experiencing non-stationary dynamic effects by the finite element method, are considered. The construction of non-local models, as well as the justification of their operability and accuracy, are shown by examples of dynamic calculations of beams made of thermosetting fiberglass.
    Key words: structures made of composite materials, numerical modeling, damping, non-local model, finite element method.
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  • For citation: Sidorov V. N., Badina E. S. Non-Local Damping Models in Dynamic Calculations of Structures Made of Composite Materials. Promyshlennoe i grazhdanskoe stroitel'stvo [Industrial and Civil Engineering], 2021, no. 9, pp. 66-70. (In Russian). DOI: 10.33622/0869-7019.2021.09.66-70.


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