針對五軸工具磨床A軸與刀具軸誤差量測方法分析

Error Measurement Methods for A-axis and Spindle of Five-axis Grinding Machine Tool

陳昱達(Yu-Ta Chen)

指導教授 ： 劉建聖

國立中正大學/工學院/機械工程學系/碩士(2015年)

摘要

隨著現代製造業的蓬勃發展，精密和超精密加工技術扮演越來越重要的角色，電腦數值控制工具機做為發展高科技產品和尖端工業產品的基礎設備，因應工具機市場的高度競爭與朝向生產高精度工具機且當前對於五軸工具磨床誤差綜合建模與量測技術的研究稍嫌不足，因此，本論文致力於研究五軸工具磨床誤差綜合模型、 軸偏心誤差、 軸與刀具主軸在 方向的偏置誤差量測方法分析，本論文的主要研究內容:
建立五軸工具磨床誤差綜合模型，本論文詳細分析與定義五軸工具磨床各運動軸主要誤差源，進行機台誤差運動學分析，建立誤差運動學方程式，首先利用各軸間的齊次座標矩陣轉換對五軸工具磨床進行幾何誤差建模，基於小誤差理論假設，對誤差綜合模型進行合理的簡化，得出該五軸工具磨床的誤差綜合數學模型，並驗證模型的正確性。
五軸工具磨床A軸與刀具軸誤差量測方法分析，本文利用齊次座標矩陣轉換推導出工具機的功能矩陣與其逆向運動學，再根據五軸工具磨床各軸運動關係轉換成NC數值函數，設計五次不同的量測姿態，進行 軸與刀具主軸在 方向的偏置誤差量測方法分析，驗證理論的可行性。

關鍵字

誤差量測 ； 誤差模型 ； 五軸工具磨床

並列摘要

With the growing development of the modern manufacturing industry, precise and ultra-precise processing technologies are playing an important role in recent years. Computerized numerical control machine tools have become the basic manufacturing equipments in high-tech industry and are being widely used in the factory. In response to the highly competitive market, the machine tools manufacturers will naturally tend to produce highly precise products. Currently there is relatively less research on geometric error modeling and measurement technology of five-axis CNC machine tools. Therefore this thesis focuses on geometric error modeling and the analysis of the measurement method of the eccentricity error of orthogonal rotary axes. The thesis analyzes the geometric error sources and establishes the error motion equations on five-axis CNC grinding machine tools. By using the homogeneous transformation matrix (HTM), this thesis proposes the geometric error model of the five-axis machine tool and verify the validity of the error model.
Also this thesis analyzes the measurement method of the geometric error of A-axis and spindle on the five-axis CNC grinding machine tool. The homogeneous transformation technology is used to get the forward kinematics, the corresponding element of the ability matrix and inverse solution, and then NC data equations are obtained according to the relation of the moving parts on the machine tool. Five different measuring postures are designed to measure the coordinates of the workpiece origin ( 、 、 ) and the active parameters.

並列關鍵字

Error measurement ； Error model ； Five-axis grinder machine tool

參考文獻

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