Свободные колебания вязкоупругой изотропной пластины с отрицательным коэффициентом Пуассона

Свободные колебания вязкоупругой изотропной пластины с отрицательным коэффициентом Пуассона

Автор: Абдикаримов Р.А., Ватин Н.И., Ходжаев Д.А.

Журнал: Строительство уникальных зданий и сооружений @unistroy

Статья в выпуске: 7 (105), 2022 года.

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Рассматриваются колебания вязкоупругих изотропных прямоугольных пластин ауксетичного метаматериала в линейной постановке. Задача описывается линейным интегродифференциальным уравнением в частных производных с начальными и граничными условиями. Используется слабосингулярное релаксационное ядро ​​Колтунова-Ржаницына. С помощью метода Бубнова-Галеркина полученное уравнение сводится к линейному обыкновенному интегродифференциальному уравнению относительно функции времени. Это уравнение решается численным методом, основанным на использовании квадратурных формул, исключающих сингулярности в релаксационном ядре. Изучается влияние на амплитудно-частотную характеристику колебаний вязкоупругой изотропной прямоугольной пластины метаматериала отрицательного коэффициента Пуассона.

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Вязкоупругость, ползучесть, метод Бубнова-Галеркина, численные методы, интегро-дифференциальные уравнения, тонкостенная конструкция, линейные колебания, пластины, уравнения движения, аустетика

Короткий адрес: https://sciup.org/143182684

IDR: 143182684   |   DOI: 10.4123/CUBS.105.2

Список литературы Свободные колебания вязкоупругой изотропной пластины с отрицательным коэффициентом Пуассона

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