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Консультация № 161745
01.03.2009, 21:53
60.00 руб.
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Здравствуйте уважаемые эксперты!Просьба решить несколько задачек...
Амплитуда смещения вынужденных колебаний при очень малой частоте xm0 = 2 мм, а при резонансе xm = 16 мм. Предполагая, что логарифмический декремент затухания меньше единицы, определить его.
В заранее примнога благодарен
Амплитуда смещения вынужденных колебаний при очень малой частоте xm0 = 2 мм, а при резонансе xm = 16 мм. Предполагая, что логарифмический декремент затухания меньше единицы, определить его.
В заранее примнога благодарен
Обсуждение
02.03.2009, 09:59
общий
это ответ
Здравствуйте, Масленников Александр!
Отношение амплитуды смещения вынужденных колебаний при резонансе к амплитуде смещения вынужденных колебаний при очень малой частоте называется добротностью колебательной системы Q = xm/xm0 (1). Логарифмический декремент затухания λ связан с добротностью Q соотношением (см. здесь): λ = π/Q (2), или, подставляя (1): λ = π*xm0/xm = π*2/16 ≈0.4.
Отношение амплитуды смещения вынужденных колебаний при резонансе к амплитуде смещения вынужденных колебаний при очень малой частоте называется добротностью колебательной системы Q = xm/xm0 (1). Логарифмический декремент затухания λ связан с добротностью Q соотношением (см. здесь): λ = π/Q (2), или, подставляя (1): λ = π*xm0/xm = π*2/16 ≈0.4.
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