Additionally, the procedure includes the verification of the gear’s geometric qualities by means of “indicators” to establish restrictions in the field of possible solutions. The ISO standards for the load capacity calculation of bevel gears (ISO 10300-1,2,3) was used to develop the relationships between the geometry and tooth resistance. The procedure utilized has as its starting point a mathematical model based on the ISO standards for gear load capacity and a system generated with interrelation between gear geometry and resistance. In this particular case a functional methodology is given, with the objective being to establish general principles and procedures for the rational calculation of gears, with an emphasis on straight bevel gears. Many of the specialists who have approached gear optimization by means of exhaustive search methods first organized an evaluation of the objective function with reasonable design parameter values in place, and then compared and retained the most extreme results of the function in each step. And also because, in each separate case, the objective functions, restrictions, and independent variables are generally different. The optimal - or “rational” - design of gears can be a challenge due to the high number of variables, limitations, and interrelationships involved.
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