Изучение устройства карданной передачи

ЛАБОРАТОРНАЯ РАБОТА №3

ИЗУЧЕНИЕ УСТРОЙСТВА КАРДАННОЙ ПЕРЕДАЧИ

Цель работы: изучить назначение, устройство, кинематические зависимости карданных шарниров, изучить понятие критической часты вращения карданного вала. Карданные механизмы (карданы) представляют собой устройства, которые способны передавать вращающий момент или вращательное движение от одного вала к другому при фиксированных или переменных углах пересечения их осей. По кинематике карданные шарниры делят на шарниры неравных (асинхронные), равных (синхронные) частот вращения и карданные механизмы работающие на частотах вращения близких к постоянной.

Кинематические зависимости карданных шарниров неравных угловых скоростей

Рисунок 1 – Схема карданного шарнира.

Зависимость между углами поворота ведущего и ведомого валов имеет следующий вид:

tg��>2 >= tg��>1>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, (1.1)

где 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− угол между ведущим и ведомым валами;

��>1 >− угол поворота ведущей вилки относительно положения, при котором она перпендикулярна к плоскости, образуемой углом шарнира;

��>2 >− угол поворота ведомой вилки относительно плоскости образуемой углом шарнира;

Отношение частот вращения ведущей и ведомой вилки равно:

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, (1.2)

Амплитуда колебаний угла поворота возникающих при вращении карданного шарнира, работающего при некотором угле:

A = arctg( (1.3)

Для обеспечения одинаковых частот вращения ведущего вала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 , и вала агрегата , который приводится карданной передачей, применяют передачи с парным числом шарниров. При использовании парного числа шарниров вал агрегата будет вращаться с той же частотой, что и ведущий вал.

Результаты расчетов угла поворота и отношения частот вращения ведомого вала в зависимости от угла поворота ведущей вилки приведены в таблице 1

Таблица 1 - Результаты расчетов для угла 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 = 20°

��>1>

��>2>

��>2 >- ��>1>

0

0,00

0,00

1,064

30

28,48

1,52

1,033

45

43,22

1,78

1,002

60

58,43

1,57

0,971

90

90,00

0,00

0,940

120

121,57

-1,57

0,971

135

136,78

-1,78

1,002

150

151,52

-1,52

1,033

180

180,00

0,00

1,064

Амплитуда колебаний угла поворота:

A = arctg( = 1,78°

Критическая частота вращения

Валы, вращаясь с определенными частотами, могут стать динамически неустойчивыми. В результате чего могут появится колебания настолько большой амплитуды, что произойдет поломка вала. Критическая частота вращения совпадает с частотой собственных колебаний неуравновешенного вала.

При критической частоте вращения может произойти самовозбуждение колебаний и прогиб увеличится на столько, что демпфирования будет уже недостаточно.

Для круглого трубчатого вала можно пользоваться следующей формулой

(Е=204 ГПа, плотность материала 7780 кг/м3):

nкр = 1,185 * 108 (1.4)

где D − наружный диаметр вала, мм;

d − внутренний диаметр вала, мм;

LK − длина вала между опорами (центрами универсальных шарниров), м.

Полученное по этой формуле значение критической частоты вращения соответствует наименьшей частоте.

Порядок выполнения теоретических расчетов

Критическая частота вращения карданной передачи:

Максимальная частота вращения карданной передачи:

nmax = 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