戟齒輪切削刀具磨刀機數學模式推導之研究

Mathematical Model of The Six-Axis CNC Machine for Grinding Cutting Tools of Hypoid Gear

謝東翰(Tung-Han Hsieh)

指導教授 ： 馮展華

國立中正大學/工學院/機械工程學系/碩士(2015年)

摘要

本篇論文研究戟齒輪切削刀具磨刀機數學模式，是參考奧利康(Oerlikon)的磨刀專用機台，並依照需求建立出本文的六軸磨刀專用機，推導出機台之數學模式，將機台以STL檔案匯入VERICUT7.3建立機台模型，並結合已知的切削刀刃刃口線數學模式，來驗證此兩條刃口線是否吻合。
利用兩種方法來驗證本文之磨刀機數學模式：利用Mathematica9將設計好之刃口線和用六軸磨刀機之數學模式所求得之刃口線，分別輸出點資料來進行比對；依照本文之設定利用模擬切削軟體VERICUT 7.3建立機台，並將本文所解出各軸之位移量與旋轉角度，輸入後模擬實際切削情形，再將切削完成之刀刃模型匯入Solidwork3D進行量測的部分。
藉由數學與模擬實際之情形來進行驗證，可經由這過程來確認本文設計之刀刃刃口與實際研磨的刀刃刃口是否吻合，並可利用切削模擬來確認本文之戟齒輪切削刀具之磨刀機數學模式之正確性。

關鍵字:切削刀具、磨刀機、六軸

關鍵字

磨刀機 ； 切削刀具 ； 六軸

並列摘要

This paper aims at building a mathematical model of the six-axis CNC machine for grinding cutting tools of hypoid gear, is based on the Oerlikon’s grinding machine, and input STL file to build the model of machine on VERICUT 7.3, and verify the mathematical model of cutting edge which derived by Lee, Yi-Hui, the student from Department of Mechanical Engineering of National Chung Cheng University.
Using Mathematica 9.0 output point data of cutting edge to check the positions; input the designed parameters to calculated the displacement and angle, and simulate cutting processes, and measure the model, imported into Solidwork3D.
To Verify correctness of mathematical model of the six-axis CNC machine for grinding cutting tools of hypoid gear by verifying designed and derived cutting edge.

Keywords:Cutting Tools, Grinding Machine, Six-Axis

並列關鍵字

Grinding machine ； Cutting tools ； Six-axis

參考文獻

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[19] H. Giurgiuman, and M. Knaden, 2004, Dual-Grinding Method for Bar Blades and Grinding Disc for Carrying Out Said method, US Patent 6,709,318 (Oerlikon).

[22] Hartmuth Müller and Hasting Wyman III, 2004, Blade Runner 3F, Gear Solutions.

[24] Y.-P. Shih, 2007,“Mathematical Model for a Universal Face Hobbing Hypoid Gear Generator,” Vol. 129, ASME J. Mech. Des.

[31] Klingelnberg GmbH之技術資料