Application of the analytical functions theory for exact calculations of gear teeth stress

Abstract

Unlike a method of finite elements the method of complex analytical functions (МCAF) considered in article allows to divide computing procedures on two parts. The first part does not contain the description of the form of boundary elements and is calculated analytically. The second part includes the description of borders of area and is calculated numerically. In machine elements the first part has the greatest influence on accuracy of stress calculation, because МCAF method allows to carry out exact calculations. Results of calculations in the form of the graphs convenient for calculations of gears are presented.

Keywords

method of complex analytical functions / tooth form factor / stress / relative displacements

References

[1] Решетов Д.Н., Иванов А.С., Пулькач С.Ю. Справочные данные по контактной жесткости для контактов в точке и по линии // Вестник машиностроения, №11, 2002. С. 46-50.

[2] Колосов Г.В. Об одном приложении теории функций комплексного переменного к плоской задаче теории упругости. - Юрьев, 1909. - 187 с.

[3] Мусхелишвили Н.И. Некоторые основные задачи математической теории упругости. - М.: Наука, 1966. - 768 с.

[4] Кудрявцев В.Н. Зубчатые передачи. - М.-Л.: МАШГИЗ, 1957. - 264 с.

RIGHTS & PERMISSIONS

Dorofeev V.L.