Mathematical model of slotting manufacture and simulation for cosine gears  

作　　者：王建 罗善明 徐攀 

机构地区：[1]School of Mechanical & Automotive Engineering,Xiamen University of Technology [2]School of Physics and Mechanical & Electrical Engineering, Xiamen University [3]Jianglu Maching and Electronics Group Co.,Ltd.

出　　处：《Journal of Central South University》2014年第3期933-941,共9页中南大学学报（英文版）

基　　金：Projects(51205335,50975242,51375411) supported by the National Natural Science Foundation of China;Project(2013J01209) supported by the Natural Science Foundation of Fujian Province,China

摘　　要：A slotting method for cosine gears was proposed by using the involute cutter based on the conjugate theories of digital surface and gear meshing. The slotting model between the cosine tooth surface represented by discrete points and the cutter figuration determined by analytic function was built for their geometrical relationship and conjugate motion during the machining process. Conjugate points in the cutter section corresponding to the discrete points on the cosine gear tooth surface and the conjugate movements were solved. By using the flexible control of the CNC procedure, the active control of the cutting trace of the slotting cutter was accomplished and the envelop forming of the cosine gear was obtained. Based on the software C++ and Matlab, the computer aided manufacturing(CAM) system of the cosine gear was developed, and the simulation of the slotting process was accomplished. Several examples were provided to illustrate the approach. The result of the simulation demonstrates that the proposed slotting method is feasible.A slotting method for cosine gears was proposed by using the involute cutter based on the conjugate theories of digital surface and gear meshing. The slotting model between the cosine tooth surface represented by discrete points and the cutter figuration determined by analytic function was built for their geometrical relationship and conjugate motion during the machining process. Conjugate points in the cutter section corresponding to the discrete points on the cosine gear tooth surface and the conjugate movements were solved. By using the flexible control of the CNC procedure, the active control of the cutting trace of the slotting cutter was accomplished and the envelop forming of the cosine gear was obtained. Based on the software C＋＋ and Matlab, the computer aided manufacturing （C;AM） system of the cosine gear was developed, and the simulation of the slotting process was accomplished. Several examples were provided to illustrate the approach. The result of the simulation demonstrates that the proposed slotting method is feasible.

关 键 词：cosine gear mathemattical model computer simulation slotting manufacture CAM 

分 类 号：TH132.41[机械工程—机械制造及自动化] TP391.73[自动化与计算机技术—计算机应用技术]