Solid Modeling And Tooth Contact Analysis Of Hypoid Bevel Gear

Hypoid bevel gear is used to convey motion of space crossed axes. It is widely used in aircraft, shipbuilding, automobile and other industries. In the paper, solid modeling and tooth contact analysis(TCA) has been studied to provide theoretical basis for authoring special cutting software of gear, and processing parameters for gear production.Solid model with all properties of hypoid gear is essential for parameter optimization, strength and life assessment, movement and dynamics simulation, digital simulation and system simulation. Therefore, based on the research of hypoid gear solid model, the flow chart is presented. The theoretical tooth surface equation of hypoid gear is established by the principle of gear meshing. The one-to-one mapping between grid points and points on the tooth surface is built by the theoretical tooth surface equation. Coordinates of points on tooth surface are able to be got by the method of numerical algorithm. Solid model is constructed by SolidWorks.TCA can be used to determine the reasonable control parameters of the pinion, parameter adjustment of machine tool, and cutter parameter design. The mathematical model of TCA is established; the algorithm to give the initial value of TCA contact starting point is studied; the flow chart and principle based on are presented, and results show that the proposed method and program has good applicability. The algorithm to solve the rest of contact points is studied; the algorithm of variable step-size is presented; According to the actual situation, it can be changed automatically. No convergence problem of nonlinear equations is better solved. TCA boundary conditions are also given.Based on the method of TCA, the adjustment of diamond contact, bias contact and fishtail contact are studied. Sensitive control parameters of the pinion and their influence are researched to found the method which is used to determine control parameters of the pinion.