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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2019 Volume 20, Issue 2, Pages 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)

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.

UDC: 519.6, 539.3

Received: 18.03.2019
Accepted: 12.07.2019

DOI: 10.22405/2226-8383-2018-20-2-512-522



© Steklov Math. Inst. of RAS, 2025