蝸桿式砂輪齒形修整方法之研究;Tooth Flank Corrective Method for the Rinding Worm on a Generating Gear Grinder

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Title:	蝸桿式砂輪齒形修整方法之研究;Tooth Flank Corrective Method for the Rinding Worm on a Generating Gear Grinder
Authors:	王文和;WANG, WEN-HO
Contributors:	機械工程系研究所
Keywords:	奇異值分解;敏感度分析法;修砂器;蝸桿砂輪;創成式磨齒;偽逆矩陣;pseudo-inverse;generating gear grinding machine;sensitivity analysis;singular value decomposition
Date:	2017
Issue Date:	2019-07-17
Publisher:	機械工程系研究所
Abstract:	目前齒輪加工在製造精度要求越來越高的趨勢下，本研究使用的創成式磨齒機台建立模擬磨齒機修砂加工，將機台簡化成多體運動學模型，且建立相鄰體間在安裝時出現的裝配誤差和加工運動時的同動誤差，透過敏感度分析法(Sensitivity Analysis)，與模擬加工件齒面拓撲誤差圖，探討齒輪磨齒機修砂系統的各軸裝配設定誤差對於工件齒面的影響，將各軸誤差影響量建立成敏感度矩陣，利用奇異值分解(Singular value decomposition)分析敏感度，矩陣找出機台誤差之主要特徵及每個特徵對應出誤差系統模型中之線性組合，簡化敏感度矩陣，得知新的敏感度矩陣，將其敏感度矩陣以偽逆矩陣(Pseudo-inverse)求出機台之結構誤差係數，再以控制器上的電子齒輪箱(Electronic Gear Box EGB )的動態輔助修正功能為基礎，加入主從軸同動函數(Curve Table)補償路徑誤差。期望可以藉此方法降低由機台結構誤差所產生的齒面加工誤差，並且將此修正關係式存於機台內部，用以提高每次的工件加工精度。 In modern industrial development, the demand of gear precision is higher and higher. In this study, we simplify the generating gear grinding machine into a multi-body kinematic model, and establish structural errors of the installation and synchronous errors of processing movement. Through the sensitivity analysis and simulation of tooth surface topography error, we discuss the influence of the workpiece tooth surface which caused by each axis error of gear grinding machine. We establish the sensitivity matrix by the influence of each axis error. Using the singular value decomposition to analyze the main characteristic of the machine error and each characteristic corresponds to the error system model. We simplify the sensitivity matrix to obtain a new sensitivity matrix. Inversing the new one we can get pseudo-inverse which can obtain the structural error coefficient of the machine. Then using the synchronization on the gear grinding machine which based on the multi-axis dressing method in the electronic gear box EGB controller. It is expected that the tooth surface machining error generated by the machine structure can be reduced, and the mathematical model of flank correction can be stored inside the machine to improve the accuracy of each workpiece.
Appears in Collections:	[機械工程學系] 學位論文

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