chebЧебышевский сборникChebyshevskii Sbornik2226-8383Tula State Lev Tolstoy Pedagogical University10.22405/2226-8383-2019-20-2-512-522cheb-658Research ArticleИстория математики и приложенийСomputer scienceДинамические эффекты в решетчатых структурах, изготовленных с помощью аддитивных технологийDynamic effects in lattice structures produced by additive technologiesЛевинВладимир АнатольевичLevinVladimir Anatolyevichv.a.levin@mail.ruЗингерманКонстантин МоисеевичZingermanKonstasntin Moiseevichzingerman@rambler.ruВершининАнатолий ВикторовичVershininAnatolij Victorovichversh1984@mail.ruПодпружниковИван АндреевичPodpruzhnikovIvan Andreevichivanpodpr08@yandex.ru201928012020202512522Copyright © Левин В.А., Зингерман К.М., Вершинин А.В., Подпружников И.А., 20192019Левин В.А., Зингерман К.М., Вершинин А.В., Подпружников И.А.Levin V.A., Zingerman K.M., Vershinin A.V., Podpruzhnikov I.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.chebsbornik.ru/jour/article/view/658

В статье исследовано влияние структуры решетчатых конструкций на распространение упругих волн в них. Постановка задачи сформулирована в рамках линейной теории упругости при малых деформациях. Для решения задачи использован метод конечных элементов, реализованный в пакете прочностного анализа Fidesys. Смоделированы различные варианты плоских решетчатых структур: классическая решетка с прямолинейными прутьями и решетки с равномерно изогнутыми прутьями: лифтовая и звёздчато-круговая решетки. Исследована зависимость между структурой решетчатых конструкций и распространением возмущений в них. Выполнен анализ зависимости скорости распространения волн в изогнутых решетчатых конструкциях от частоты. Предложена прикладная концептуальная модель прибора, измеряющего частоты волн.

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 CAEsystem 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.

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The authors declare that there are no conflicts of interest present.