Geodesic
Dynamic effects in lattice structures produced by additive technologies
Čebyševskij sbornik, Tome 20 (2019) no. 2, pp. 512-522

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{CHEB_2019_20_2_a38,
     author = {V. A. Levin and K. M. Zingerman and A. V. Vershinin and I. A. Podpruzhnikov},
     title = {Dynamic effects in lattice structures produced by additive technologies},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {512--522},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2019_20_2_a38/}
}
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V. A. Levin; K. M. Zingerman; A. V. Vershinin; I. A. Podpruzhnikov. Dynamic effects in lattice structures produced by additive technologies. Čebyševskij sbornik, Tome 20 (2019) no. 2, pp. 512-522. http://geodesic.mathdoc.fr/item/CHEB_2019_20_2_a38/