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Chebyshevskii Sbornik, 2019, Volume 20, Issue 2, Pages 512–522
DOI: https://doi.org/10.22405/2226-8383-2018-20-2-512-522 (Mi cheb787) 		 
HISTORY OF MATHEMATICS AND APPLICATIONS

Dynamic effects in lattice structures produced by additive technologies

V. A. Levina, K. M. Zingermanb, A. V. Vershinina, I. A. Podpruzhnikova

a Faculty of mechanics and mathematics of Lomonosov Moscow State University (Moscow)
b Tver State University (Tver)
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DOI: https://doi.org/10.22405/2226-8383-2018-20-2-512-522
Abstract: The influence of lattice structures on the propagation of elastic waves in these structures is analyzed. The statement of problem is formulated within the framework of linear elasticity under small strains. To solve this problem, the finite element method and the Fidesys CAE-system were used. Different variants of plane lattice structures are modeled: the classical lattice and the lattice with uniformly curved strips across the plane: elevator and star-shaped lattices. The relation between the structure of lattice structures and the propagation of perturbations in these structures is analyzed. The dependence of wave velocity in curved lattice structures on the frequency of the emitted waves is analyzed. The applied conceptual model of the device for measuring the frequency of waves is developed.
Keywords: lattice structure, CAE Fidesys, frequency filtering of waves.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation RFMEFI57717X0271
Research for this work was carried out within the framework of the Federal program "Research and development in priority areas of development of the scientific and technological complex of Russia for 2014-2020" with the financial support of the Ministry of education and science of the Russian Federation in LLC "Fidesis" — co-executor of the works under the agreement on the grant number 14.577.21.0271 (project ID RFMEFI57717X0271).
Received: 18.03.2019
Accepted: 12.07.2019
Document Type: Article
UDC: 519.6, 539.3
Language: Russian
Citation: V. A. Levin, K. M. Zingerman, A. V. Vershinin, I. A. Podpruzhnikov, “Dynamic effects in lattice structures produced by additive technologies”, Chebyshevskii Sb., 20:2 (2019), 512–522
Citation in format AMSBIB
\Bibitem{LevZinVer19}
\by V.~A.~Levin, K.~M.~Zingerman, A.~V.~Vershinin, I.~A.~Podpruzhnikov
\paper Dynamic effects in lattice structures produced by additive technologies
\jour Chebyshevskii Sb.
\yr 2019
\vol 20
\issue 2
\pages 512--522
\mathnet{http://mi.mathnet.ru/cheb787}
\crossref{https://doi.org/10.22405/2226-8383-2018-20-2-512-522}
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