Формулы для прогибов и упрощенный метод Данкерли для расчета частоты колебаний плоской фермы

Формулы для прогибов и упрощенный метод Данкерли для расчета частоты колебаний плоской фермы

Автор: Кирсанов М.Н.

Журнал: Строительство уникальных зданий и сооружений @unistroy

Статья в выпуске: 4 (109), 2023 года.

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Объектом исследования является схема регулярной статически заданной фермы рамного типа. Решетка фермы в ригельной части конструкции — крестообразная. Методом индукции в системе символьной математики Maple выведена аналитическая зависимость прогиба фермы и перемещения подвижной опоры от числа панелей в ригеле. Операторы Maple использованы для обобщения решений для нескольких ферм с последовательно увеличивающимся числом панелей для общего случая. Расчет первой частоты колебаний конструкции по методу Данкерли упрощен за счет замены суммы парциальных частот вычислением произведения максимальной парциальной частоты на число степеней свободы, деленное на два.

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Ферма, индукция, прогиб, клен, основная частота, метод Данкерли, упрощенное решение

Короткий адрес: https://sciup.org/143182700

IDR: 143182700   |   DOI: 10.4123/CUBS.109.7

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