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Mathematical model of slotting manufacture and simulation for cosine gears
引用本文:王建,罗善明,徐攀.Mathematical model of slotting manufacture and simulation for cosine gears[J].中南工业大学学报(英文版),2014(3):933-941.
作者姓名:王建  罗善明  徐攀
作者单位:[1]School of Mechanical & Automotive Engineering, Xiamen University of Technology, Xiamen 361024, China [2]School of Physics and Mechanical & Electrical Engineering, Xiamen University, Xiamen 361005, China [3]Jianglu Maching and Electronics Group Co., Ltd., Xiangtan 411100, China
基金项目: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 (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:计算机辅助制造  齿轮啮合  数学模型  余弦  开槽  仿真  matlab  主动控制

Mathematical model of slotting manufacture and simulation for cosine gears
WANG Jian,LUO Shan-ming,XU Pan.Mathematical model of slotting manufacture and simulation for cosine gears[J].Journal of Central South University of Technology,2014(3):933-941.
Authors:WANG Jian  LUO Shan-ming  XU Pan
Affiliation:1. School of Mechanical & Automotive Engineering, Xiamen University of Technology, Xiamen 361024, China; 2. School of Physics and Mechanical & Electrical Engineering, Xiamen University, Xiamen 361005, China; 3. Jianglu Maching and Electronics Group Co., Ltd., Xiangtan 411100, China)
Abstract:cosine gear mathemattical model computer simulation slotting manufacture CAM
Keywords:cosine gear  mathemattical model  computer simulation  slotting manufacture  CAM
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