| Klingelnberg cyclo-palloid bevel gears is one of the three commonly used spiral bevel gears at present.It has the characteristics of low vibration,low noise,and can meet the requirements of high-speed transmission.It can bear larger transmission moment and achieve larger transmission ratio.It is widely used in industry,Especially in the field of heavy-duty,high-power transmission in the marine,metallurgical and building materials industries.With the rapid development of China's heavy machinery and the increasingly close cooperation with European,American,Japanese and Korean enterprises,advanced Klingelnberg cyclo-palloid bevel gears processing machine tools are gradually introduced to domestic enterprises.Since the price of machine tools imported from abroad is very expensive,domestic machine tool manufacturers have tried to imitate such machine tools,but the structure of the machine tool spindle is too complicated to be successful.Based on the Klingelnberg cyclo-palloid bevel gears machined by monolithic cutter on domestic CNC spiral bevel milling machine,the meshing transmission performance of cyclo-palloid bevel gears was studied in this paper.The tooth flank equation of cyclo-palloid bevel gears with arc blade was established.The coordinates of discrete points and normal vector parameters of the tooth flank were calculated by using binary iteration algorithm.And completed the study of contact analysis and loaded tooth contact analysis of gear pair,The main research contents of this paper are as follow:1.Based on the principle of cutting Klingelnberg cyclo-palloid bevel gears with monolithic cutter and the relative position and relative motion relationship among cutter,imaginary crown gear and gear blank in the process of milling,the accurate tooth flank equation of gear and,pinion with arc blade was established.In order to obtain theoretical tooth flank coordinate parameters,gear and pinion tooth flank are discretized and solved by binary iteration algorithm.Based on the Visual Basic software platform,the calculation software of discrete point coordinates and normal vector parameters of cyclo-palloid bevel gears was developed.2.Based on the meshing theory of gears,the contact equation of cyclo-palloid bevel gears at the initial contact position was established.The parameters of the initial contact point were calculated,and the normal curvature and geodesic torsion at the meshing contact point of gear and pinion which determine the length of major axis and minor axis of contact ellipse.Considering the influence of installation position error of gear pair on meshing contact performance,through adjusting V/H parameters,the contact pattern and transmission error curve of gear pair at the midpoint position,the heel position and the toe position were simulated and analyzed by using Visual Basic software.3.By processing the data of discrete points on the tooth flank,the geometric model of cyclo-palloid bevel gears was created by Creo.The mesh of the full-tooth model of gear and pinion were divided by HyperMesh,the finite element pre-processing software,And the mesh model of five pairs of teeth for loaded meshing performance analysis was cut out on the full-tooth mesh model.In ABAQUS software environment,the transmission performance of cyclo-palloid bevel gears under loading were analyzed.The influence of different loading conditions and installation positions of gear and pinion on the maximum contact stress of tooth surface,the maximum bending stress of tooth root,contact pattern and transmission error curve was analyzed.4.Based on the domestic H1250C spiral bevel gear cutting machine and the monolithic cutter,the gear pair with the tooth number ratio of 12:37 was milled.The tooth profile error of the cyclo-palloid bevel gears was measured by the L65G gear measuring center,and the correctness of the tooth flank equation and the calculation software of the discrete point coordinates and normal vector parameters of the tooth flank based on the cutting principle of the monolithic cutter was verified.The meshing rolling test of the contact performance of the gear pair was carried out by H1250T rolling tester,and the correctness of tooth the contact analysis method of the tooth flank was verified. |
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