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Консультация № 199876
15.12.2020, 09:43
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе: Определить, на сколько резонансная частота отличается от частоты wо = 1000 Гц собственных колебаний системы, характеризуемой коэффициентом затухания, равным b = 400 с-1. Во сколько раз резонансная амплитуда больше амплитуды вынужденных колебаний, совершаемых с частотой wо?
Обсуждение
20.12.2020, 05:12
общий
это ответ
Здравствуйте, ira.medvedeva00!
Для системы с собственной частотой колебаний [$969$][sub]0[/sub] и коэффициентом затухания [$946$] резонансная частота определяется выражением
В данном случае для [$969$][sub]0[/sub] = 1000 с[sup]-1[/sup] и [$946$] = 400 с[sup]-1[/sup] резонансная частота будет равна
то есть будет примерно на 175 с[sup]-1[/sup] меньше собственной.
Амплитуда вынужденных колебаний с частотой [$969$] определяется выражением
В частности, при колебании с собственной частотой [$969$][sub]0[/sub]
а при резонансе
где
- частота вынужденных колебаний, равная в данном случае
Соответственно,
Для системы с собственной частотой колебаний [$969$][sub]0[/sub] и коэффициентом затухания [$946$] резонансная частота определяется выражением
В данном случае для [$969$][sub]0[/sub] = 1000 с[sup]-1[/sup] и [$946$] = 400 с[sup]-1[/sup] резонансная частота будет равна
то есть будет примерно на 175 с[sup]-1[/sup] меньше собственной.
Амплитуда вынужденных колебаний с частотой [$969$] определяется выражением
В частности, при колебании с собственной частотой [$969$][sub]0[/sub]
а при резонансе
где
- частота вынужденных колебаний, равная в данном случае
Соответственно,
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