| The classical face gear transmission system is composed of involute cylindrical gear and face gear.According to the position relationship between the face gear axis and the pinion axis when the tooth surface is meshed,it can be divided into three situations: orthogonal,non orthogonal or offset,so as to meet the different needs of the transmission device.Compared with the traditional face gear,asymmetric offset face gear has larger coincidence degree and wider application range due to its unique configuration.In this paper,the complex surface design method and meshing characteristics of high-performance asymmetric offset face gear are deeply studied.Taking the new configuration of face gear transmission as the breakthrough point,according to the gear meshing principle,the offset face gear is designed by using the generating processing method of gear shaper cutter.The three-dimensional solid modeling of offset face gear pair is completed by MATLAB numerical calculation software and Solid Works three-dimensional modeling software.According to the tooth contact analysis(TCA),the distribution of tooth contact trace and the variation of transmission error curve of asymmetric offset gear under no-load condition are studied.The finite element analysis of asymmetric offset face gear pair is carried out by using ABAQUS software,and the loading contact characteristics and inherent characteristics of face gear are analyzed.It has far-reaching significance for the design and research of asymmetric offset face gear transmission system.The main research contents of the paper are:(1)Based on the principle of gear meshing,the spatial meshing coordinate system is constructed,and the machining coordinate system and space transformation matrix of asymmetric offset face gear are established.The tooth surface equation,transition surface equation and meshing equation are derived.The conditions of root undercutting and tip changing of asymmetric offset face gear are discussed,and the method of solving the minimum inner radius and the maximum outer radius is obtained,which can further realize the real model of asymmetric offset face gear Construction provides a theoretical basis.(2)In this paper,the generation of complex surface of asymmetric offset face gear pair is studied by using discrete parameter method.The discrete steps of tooth surface equation parameters are formulated.The point cloud coordinates of asymmetric cylindrical gear and offset face gear are obtained by solving the circular solution of MATLAB program.The point cloud file is generated and imported into Solid Works 3D modeling software to complete the 3D solid modeling of asymmetric offset face gear pair.(3)The tooth contact analysis(TCA)method is used to study the tooth meshing characteristics and the variation of tooth contact trace of asymmetric offset face gear pair.The tooth surface contact equation is derived,the tooth surface meshing point coordinates are calculated,and the contact trace and transmission error curve of asymmetric offset gear are drawn.The distribution law of tooth surface meshing points is obtained,and the influence of four installation errors on the meshing transmission performance of asymmetric offset face gear transmission system is explored.(4)Using ABAQUS software,the load simulation analysis of asymmetric offset face gear pair model is carried out,and the influence of the pressure angle change on the bearing capacity of the face gear is studied.The natural frequency characteristics,mode shape diagram and maximum shape variable of the asymmetric offset face gear under the first sixteen modes are studied,and the influence of the change of pressure angle and aperture on the natural characteristics of the asymmetric offset face gear is explored. |
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