Study On Optimum Profile Modification Of Spur Gear Based On Energy Method And Genetic Algorithm

As the most common equipment in the field of engineering machinery,the better mechanical characteristics and the stability and reliability of the working performance are of great significance for the mechanical equipment.In order to meet the modern design idea,gear drive is developing toward higher speed,greater carrying capacity,lighter quality and more precise transmission accuracy of direction.But in the process of gear meshing,vibration and noise problem are increasingly prominent.Using the gear profile modification technique can eliminate the tooth flank meshing impact and significantly reduce the vibration and noise of gear meshing.To get a good dynamic performance of the best modification parameters for the gear in a specific condition,the parametric model of the gear is modeled in this paper according to the parameter equation of involute based on the Pro/E software.Varying mesh stiffness of single tooth of spur gear and comprehensive mesh stiffness of the gear is calculated bying using energy method,and the results were compared with finite element calculations;based on the principle of gear engagement and nonlinear vibration theory,and the introduction of genetic algorithm,it determines the gear repair shape parameters regarding the gear dynamic transmission error range minimum as the target function.And the gear dynamic engagement characteristics curves after the modification were drawn based on Matlab.This article regards reducing the gear dynamic transmission error fluctuation range as the objective function.Through the analysis of gear meshing stiffness and static transmission error,and the analysis of the nonlinear vibration characteristics,this paper searched the influence of gear repair form parameters to dynamic meshing performance with spur gear as the research object.Based on the principle of gear engagement and nonlinear vibration theory,it studied calculation model of modified gear meshing stiffness and transmission error,and the genetic algorithm is used for gear modification to optimize the design parameters.The studies have shown that the gear profile modification parameters which were got by genetic algorithm optimization can avoid the phenomenon of the meshing impact and effectively reduce the amplitude of vibration of the gear system compared to gear before modification as well as to make the gear dynamic transmission error fluctuations within the minimum.While the gear dynamic transmission error range for the objective function and the results of the gear static transmission error range of variation as objective function are compared,It is proved that using the dynamic transmission error to the vibration characteristic of the gear is more reasonable than based on static transmission error as the target of optimization.