Meshing Characteristics Analysis And Optimization Of Spiral Bevel Gears Considering Edge Contact And Alignment Errors

Spiral bevel gear is a key component for energy and power transmission in mechanical transmission.It is widely used in transmission system of precision machinery,large ships,and aerospace equipment due to its high contact ratio,strong carrying capacity,stable driving,and low noise.The key of the high-performance gear transmission with high strength and low noise is good meshing characteristics.Based on the Tooth Contact Analysis(TCA)algorithm and the TCA(Error Tooth Contact Analysis,ETCA)algorithm with installation errors,the paper optimized the main evaluation indexes of the meshing characteristics(tooth surface contact pattern and transmission error curve)from the installation and machining parameter adjustment.It main contents are as follows:(1)Taking the spiral bevel gears as the study object,the universal modeling method of spiral bevel gears,based on the universal motion concept,was applied to the tooth surface modeling.the TCA considering the edge contact was established and the complete tooth contact pattern and transmission error curve were obtained.The ETCA analysis for gear pair was carried out to study the influence of each installation error on the tooth meshing quality,which laid the foundation for determining the ideal installation parameters of the gear pair and optimizating the tooth surface.(2)Based on the installation errors,an optimized adjustment method for contact pattern and transmission error is proposed.Combined with the ETCA algorithm,taking the installation dislocation as the design variable,the objective function was established via designing the contact pattern and the characteristic parameters of transmission error.And the function was solved through the nonlinear optimization algorithm.The contact pattern after optimization moves to the small end of the tooth surface,and the droop deviation and the fluctuation amplitude of the transmission error curve are reduced,indicating the method has a better optimization effect for the contact pattern and transmission error,which has certain theoretical value for improving the gear meshing performance.(3)The active design method of the pinion tooth surface is studied,which is based primarily on the design of the second-order transmission error curve and supplemented by the contact pattern design.The contact ratio,fluctuation amplitude was preset to design the transmission error curve;based on the theory of curved surface conjugate,according to the relationship of the rotation angle and angular velocity between the pinion and gear reflected by the transmission error curve,combined with the assembly position,the pinion tooth surface was solved which is in linear contact with the known gear.And it was modified along the each contact line to obtain the target tooth surface according to the second-order contact parameters.Based the approach of machine settings modification,the corresponding gear cutting parameters were determined.Through the TCA analysis of redesigned pinion tooth surface,the contact pattern and transmission error curve basically conform with the preset parameters.Compared to the pre-optimization,the meshing performance of the gear pair was improved.