Термин
| Характеристика и определение
| Рисунок и формулы
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Зацепление двух прямозубых цилиндрических колес
| Эвольвента-кривая, которую образуется движением касательной по окружности(катится по окружности)
1-Шестерня
2-ЗК
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)
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Диаметры начальных окружностей, катящихся друг по другу без скольжения
| (шест.)
(колеса)
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Диаметры окружностей вершин и впадин
|
-вершин -впадин
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Диаметры основных окружностей
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![](data:image/png;base64,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)
-точка прямой, перекатываемой по этой окружности без скольжения, образует эвольвентный профиль зуба
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Высота головки и ножки зуба
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-высота головки
-высота ножки зуба
| Высота зуба: =![](data:image/png;base64,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)
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Радиальный зазор
| c
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Межосевое расстояние
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![](data:image/png;base64,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)
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Начальный шаг
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– расстояние между соответствующим точками 2-х соседних зубьев, измеренное по начальной окружности диаметра ![](data:image/png;base64,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)
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Модуль зацепления
| m= /π,
откуда: = /π=mz
| Для модуля зацепления m>1
d = mz; =m(z+2); =m(z-2,5)
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