A general mathematical model for two-parameter generating machining of involute cylindrical gears

Analytical Method for Screw Rotor Cutting according to the Cutter Workpiece Engagement Model

“…The triangle mesh model [2] and the instantaneous cutting flute and exit-entry [3] were studied to describe it. It can also be assumed to be generating machining that employs a two-parameter enveloping theory, such as machined profile calculation and instant contact analysis [4,5]. In addition, a cutting simulation of the grinding process can be adapted to screw rotor cutting using form milling cutter.…”

Mathematical modelling of power skiving for general profile based on numerical enveloping

“…In addition, the simulation of power skiving process is significant to estimate and optimize the skiving process and cutting tools. Research works are mainly devoted to geometric precision simulation [22][23][24][25][26][27][28][29][30][31] and the working condition analysis of cutter [32][33][34][35][36][37]. Commonly, the geometric simulations include three kinds of manner.…”

“…First, the analytical ones adopted the meshing equation for geometry calculation, like Guo et al [22,23] studied the theoretical tooth profile errors of gears in skiving, and investigated the tool setting errors on gear skiving accuracy, further they [24] studied the cutting edge correction method for conical cutter; Zheng et al [25] generalized the machine kinematics correction and TCA to gear skiving. Secondly, the numerical methods represent the machining process in a discrete way for concrete calculation, like Jia et al [26] developed a numerical simulation method for non-involute gear power skiving with adopt approximate external enveloping; Zheng et al [27] developed a novel z-map based numerical method to calculate tooth flank, and investigate the influence of eccentricity error on the surface roughness; Inui et al [28] developed a triple-dexel based geometric simulation method for power skiving process with GPU computing acceleration. Thirdly, the CAD based methods perform the cutting process as Boolean operation and finished it via commercial CAD package, like Antoniadis et al [29,30] simulated the kinematics of the cutting process with the aid of commercial CAD software, which allows the precise determination of the non-deformed chips and cutting forces; Tapoglou [31] simulated the chip thickness of skiving with the aid of CAD.…”

“…However, it is difficult to process the conditions like self-intersection and overcutting, particularly for universal target profiles. The discrete numerical enveloping method proposed in [26] demonstrates excellent performance to deal with these drawbacks in general profile skiving simulation, but it lacks the capability to investigate the entire skiving process with combining time-varying configuration and kinematic parameters.…”

“…Aiming to investigate the dynamic machining process for power skiving with overcoming the shortcoming of [26], this work developed a discrete enveloping based mathematic modelling method for power skiving, which is effect for general profile tasks with strong robustness. The remainder is organized as follows.…”