Analytical determination of basic machine-tool settings for generation of spiral bevel gears and compensation of errors of alignment in the cyclopalloid system

A model for computerized generation of spiral bevel gears in the cyclo-palloid system is proposed. Kinematic conditions of cutting are investigated for tooth thickness and backlash control. Basic machine-tool settings are analytically determined from basic transmission data with the aim of getting favorable conditions of meshing and contact when the gear drive is transmitting a nominal or design load and shaft deflections occur. Errors of alignment of the gear drive due to shaft deflections are considered as input data in the analytical procedure. The proposed procedure is tested through tooth contact and backlash analyses of the gear drive. Several numerical examples are presented.