НЕЛОКАЛЬНАЯ ВО ВРЕМЕНИ МОДЕЛЬ ПРОДОЛЬНЫХ КОЛЕБАНИЙ СТЕРЖНЕВОГО ЭЛЕМЕНТА, ВЫПОЛНЕННОГО ИЗ СТАЛИ СО СВЕРХВЫСОКИМ ДЕМПФИРОВАНИЕМ
НЕЛОКАЛЬНАЯ ВО ВРЕМЕНИ МОДЕЛЬ ПРОДОЛЬНЫХ КОЛЕБАНИЙ СТЕРЖНЕВОГО ЭЛЕМЕНТА, ВЫПОЛНЕННОГО ИЗ СТАЛИ СО СВЕРХВЫСОКИМ ДЕМПФИРОВАНИЕМ
DOI:
https://doi.org/10.22337/2587-9618-2024-20-3-167-179Ключевые слова:
сплавы высокого демпфирования, демпфирующая сталь, колебания стержней, внутреннее трение, амплитудно-зависимое демпфирование, нелокальная механикаАннотация
Статья посвящена моделированию продольных колебаний стержня, выполненного из демпфирующей стали 01Yu5T, с учётом характерных свойств внутреннего демпфирования материала. Приведен краткий обзор различных демпфирующих сплавов, а также краткий обзор моделей частотно-независимого и амплитудно-зависимого внутреннего трения, теоретически применимых для описания демпфирующей способности стали 01Ю5Т. Рассматриваемый стержень представлен в статье, как система с одной степенью свободы. Модель для описания его продольных колебаний с учётом внутреннего трения построена на основании положений нелокальной механики: учтено влияние предыдущей истории деформирования на состояние системы в настоящий момент. Для решения уравнения движения использован метод Рунге-Кутта IV порядка. На примере свободных колебаний стержня показано влияние изменения масштабного параметра нелокальной модели на результаты расчета. Калибровка нелокальной во времени модели колебаний стержня выполнена на основании экспериментальных данных методом наименьших квадратов. Приведены результаты моделирования вынужденных колебаний под действием нагрузки, представленной как случайный стационарный процесс, для элемента из стали 01Ю5Т с учетом амплитудно-зависимого демпфирования, в сравнении с результатами, полученными для стали с постоянным уровнем внутреннего трения.
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