Optimization Design And Analysis Of Double-Point Contact Internal Meshing Gear With Curve Configuration

Gears are the important basic component in the equipment manufacturing and national defense industry.At present,the aerospace,transportation equipment,new energy,weapons equipment and other fields of the leap development,the transmission components and systems of the transmission capacity,transmission efficiency,power density,reliability,environmental adaptability and other higher requirements.Internal meshing gear drive is widely used in planetary transmission mechanism because of its smooth operation,compact structure,large recontact degree,high bearing capacity and high transmission efficiency.However,the internal meshing gear pair with involute tooth profile mainly adopts strict displacement design to avoid interference problems,and the contact form of convex-convex tooth profile needs to be improved in load strength and transmission efficiency.Therefore,the design of high performance internal meshing gear transmission has important theoretical significance and application value.The double-point contact internal meshing gear with curve configuration is taken as the object,research on basic tooth profile design and parameter optimization analysis is studied in this thesis.The forming theory and method of double-point contact internal meshing gear with curve configuration are proposed.The optimization models of geometric parameters and tooth profile parameters of double-point contact internal meshing gear with curve configuration are established respectively.The contact stress of the gear teeth before and after optimization is analyzed.The strength calculation method of double-point contact internal meshing gear with curve configuration is formed.The main contents are as follows:(1)The tooth profile design of double-point contact internal meshing gear with curve configuration is carried out,and the basic tooth profile equation is established.The basic expression of tooth surface is derived by helix method,and the three-dimensional model of double-point contact internal meshing gear with curve configuration is established.The parametric design software of point contact internal meshing gear with curve configuration is developed based on MATLAB.(2)The optimization design of basic geometric parameters with high strength and small volume as the main objectives is carried out.The multi-objective and multiparameter optimization mathematical model of double-point contact internal meshing gear with curve configuration is proposed,the basic design variables are determined,the constraint conditions are set,and the multi-objective functions are established.The basic geometric parameters of gear teeth were optimized by computer simulation method based on genetic algorithm.By using finite element method,the contact characteristics of double-point contact internal meshing gear with curve configuration before and after design parameter optimization are analyzed and compared.(3)Based on the Hertz point contact theory,the calculation equation of tooth surface contact stress is derived,and the correlation law between tooth profile design parameters and tooth surface contact stress is established to find the optimal tooth profile parameters.The influence of different contact points on the contact characteristics of the tooth surface is analyzed,and the influence mechanism of basic parameters and profile parameters on the contact ellipse is explored.By using the finite element method,the contact characteristics of double-point contact internal meshing gear with curve configuration before and after the tooth profile parameter optimization are analyzed and compared.(4)Orthogonal test method is used to determine the test parameters of double-point contact internal meshing gear with curve configuration,and the basic gear model is established according to the test parameters,and t the relevant data are obtained by finite element analysis.Based on the nonlinear regression analysis,The empirical formula of root bending stress of double-point contact internal meshing gear with curve configuration is established.Based on Hertz point contact theory,a calculation method of tooth contact stress for engineering practice is established.