Generation and geometry of hypoid gear-member with face-hobbed teeth of uniform depth

An Alternative Formulation of the Dynamic Transmission Error to Study the Oscillations of Automotive Hypoid Gears

“…The analysis is repeated in Figure 5 for the time interval between 100,100 to 100,120 meshing periods. The comparison with Figure 4 reveals that when resistive torque follows equation (10), the response is unaltered with integration time. Therefore, steady state conditions are achieved from an early stage.…”

“…Early models disregarded the exact mesh geometry, relying on simplified expressions for the contact force vector [8][9]. Nonetheless, the development of Tooth Contact Analysis (TCA) theory [10] together with complimentary computational tools [11] enabled the inclusion of the real geometric characteristics [12]. Dynamic models were capable of accounting for the time-varying mesh position, as well as for nonlinear effects due to gear backlash [13][14].…”

A motion control method for face hobbing on CNC hypoid generator

“…So, the relative location motion between the generating and machined gear completely determine the tooth resultant form of the gear. During face-hobbing process, the rotational motion of cutter and that of workpiece interact with each other as per a certain transmission ratio, which enables continuous indexing during gear cutting; meanwhile, the blade of the cutter forms an epicycloid tooth trace on the generating gear [1,2,4]. Because of the continuous indexing during gear cutting, motion of such machine tool is more complex in comparison to the face milling generator.…”

“…Lelkes researched tooth contact analysis of the face hobbed bevel gear [6]. M. Vimercati A-axis coordinate of the CNC hypoid generator during the face-hobbing A 1 rotation angle of the workpiece spindle for indexing A 2 rotation angle of the workpiece spindle for producing generation motion A h high speed part of rotation angle of A-axis is coupled with cutter spindle A l low speed part of rotation angle of A-axis b distance from point p′ the pitch point p B…”

“…Litvin and Qi Fan analyzed the machine tool setting and motion of face-hobbing, and researched the tooth form generating principle and derived the tooth form equation based on universal cradle type generator [1][2][3]. Shih and Fong build a unified tooth form equation suitable for both Gleason and Oerlikon face-hobbing method, and researched the tooth form modification based on ease-off topography [4,5].…”