Research On Transmission Characteristics And Machining Method Of The Elliptic-Arc-Tooth-Trace Cylindrical Gear

Gear transmission is the most widely used power transmission mechanism,which is widely used in automobile,aerospace,engineering machinery,instrument and many other fields.In recent years,many scholars put forward the concept of curvilinear-tooth-trace cylindrical gear,and focus on a circular-arc-tooth-trace cylindrical gear.The load-carrying capacity and transmission stability of circular-arc-tooth-trace cylindrical gear are obviously improved compared with traditional gears,but it is difficult to process this gear with ideal geometric parameters efficiently.Based on the research and analysis of the existing circular-arc-tooth-trace cylindrical gear,it is found that the elliptic-arc-tooth-trace cylindrical gear with ideal geometric characteristics can be machined by adjusting the cutter to a specific installation angle.This gear also has excellent transmission characteristics,and it can be processed quickly.In this thesis,the ideal geometric parameters of the elliptic-arc-tooth-trace cylindrical gear are presented.According to the meshing principle,the tooth surface equations,dynamic meshing line equations and the calculation of contact ratio are derived.Through the Solidworks secondary development technology,the three dimensional parametric automatic modeling program of this gear is completed.Based on the gear model,the dynamic characteristics of this gear are analyzed,and the influence of the gear main parameters on the transmission performance is studied.Based on Adams,the influence of cutter radius and gear speed on rotation fluctuation is analyzed.The variation of dynamic meshing force with cutter radius and gear speed is studied,and the optimal selection range of main parameters of this gear is determined.Based on the principle of finite element analysis,the influence of load on the dynamic meshing stiffness of gear pair is analyzed.By analyzing the meshing relationship of gear and rack,the elliptic-arc-tooth-trace rack is transformed into the machining tool of elliptic-arc-tooth-trace cylindrical gear,and the machining principle of the gear is put forward.According to the principle,the machining of elliptic-arc-tooth-trace cylindrical gear is simulated by Vericut,and the feasibility of tooth surface cutting is verified.At the same time,the tilting telescopic rotary cutter processing method is proposed.Finally,according to the processing method,the special machine and its software control system are designed independently,and the trial processing of elliptic-arc-tooth-trace cylindrical gear is carried out.The meshing experiment of the machined gears is carried out,and the distribution of the meshing track between the standard gear and the modified gear on the tooth surface is studied.The results show that the meshing path of the standard elliptic-arc-tooth-trace cylindrical gear pair is in full tooth width distribution,and the full tooth width curve contact can be realized,which is consistent with the theoretical derivation.The contact area of the modified gear is distributed in the center of the tooth surface,and the two ends do not participate in the meshing,which is conducive to improving the contact state of the tooth root at both ends and enhancing the bearing capacity of the gear.