Etude, analyse, et optimisation d'une paire d'engrenages spiro-coniques sous un chargement (Study, analysis, and optimization of spiral bevel gears under load).

摘要

In order to obtain optimal tooth surfaces for a spiral bevel gear pair operating under a specified loading condition, a general approach is developed to study and optimize the loaded transmission error function and the position of the loaded contact pattern.; Under load, the transmission error function and the contact pattern change and self-adjust to respond to the applied torque. The changes are due to the tooth composite deflection and tooth contact deformation of meshing teeth in the zone of contact, and the displacement of the transmission shafts. All of these are considered in the development.; By applying the developed approach, an investigation of the effect of applied torque, machine-tool settings, and transmission shaft deflection on the loaded transmission error function and the position of the loaded contact pattern is carried out. From the result, a relation between the loaded transmission error and unloaded transmission error functions is developed and expressed in a simple mathematical form.; Finally a method of optimizing a pair of spiral bevel gears operating under a specified loading condition is proposed and complemented with a computer program. The procedure of application of the method is discussed.