Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/91438
標題: Optimal Tolerance Allocation for Positioning Mechanism of A Machine Tool Rotary Table
工具機旋轉工作台定位機構之最佳公差配置研
作者: 徐富庭
Fu-Ting Hsu
關鍵字: Tolerance allocation;Optimization;APC(Automatic Pallet Changing);公差配置;最佳化;自動交換工作台
引用: [BjØrke, 1989] O. BjØrke, Computer-Aided Tolerancing, 2nd ed. ASME Press, 1989. [Wade, 1967] O. R. Wade, Tolerance Control in Design and Manufacturing, Industrial Press, New York, 1967. [Greenwood & Chase, 1987 ] W.-H. Greenwood and K.-W. Chase, 'A New Tolerance Analysis Method for Designers and Manufactures,' Journal of Engineering for Industry, No. 109,1987, pp.112-116. [Requicha, 1983] A. A. Requicha, 'Toward A Theory of Geometric Tolerancing,' International Journal of Robotics Research, Vol.2, No.4, 1983, pp.45-60. [Fleming, 1988] A. Fleming, 'Geometric Relationships between Toleranced Features,' Artificial Intelligence, Vol.37, No.1-3, 1988, pp.403-412. [Chase & Guo, 1999] J.-B. Chase and B. Guo, 'Accuracy on the Mechanical Assembly,' Journal of Forklift Truck Technology, v1, 1999, pp.5-7. [Trego, 1993] Trego, A Comprehensive System for Modeling Variation in Mechanical Assemblies, M.S. Thesis, Department of Mechanical Engineering Brigham Young University, 1993. [Jeevanantham et al, 2007] S.-M. Jeevanantham, A.-K. Kannan and V. Jayabalan, 'Modelling and Analysis of Selective Assembly Using Taguchi's Loss Function,' International Journal of Production Research [Chase et al.,1995] K. W. Chase, J. Gao and S. P. Magleby, 'General 2-D Tolerance Analysis of Mechanical Assemblies with Small Kinematic Adjustments', Journal of Design and Manufacturing, Vol.5, No.4, 1995. [Chase et al.,1998] K. W. Chase, Spencer P. Magleby, 'Tolerance Analysis of 2-D and 3-D Mechanical Assemblies with Small Kinematic Adjustments', in Advanced Tolerance Techniques, pp. 103-137, John Wiley, 1998. [蔡志成&鄭國德,1995]蔡志成、鄭國德,'區間與統計公差正逆向四則運算方法之發展', 中國機械工程學會第十二屆學術研討會論文集(設計與製造) 1995,731-740頁。, [侯靖男,1996]侯靖男,公差分析與公差敏感度分析在產品設計之應用,國立中興大學機械 工程研究所碩士論文,1996。 [王曉慧,2002] 王曉慧 '關於虛公差問題的研究',製造技術與機床,第4期,2002,27-29頁 [朱益伸,2008] 朱益伸,工具機主軸公差分析與調整方法探討,國立中興大學機械工程研究所碩士論文,2008。 [沈哲民,2005] 沈哲民,機件公差配合與尺寸鏈分析實務-公差標註範例解説,財團法人工業技術研究院,人才培訓計畫講義,2005 [沈劍英,2003] 沈劍英,'虛公差現象及其探討',機械研究與應用,第16卷第4 期,2003,27-29頁 [廖國生&王曉慧,2007] 廖國生、王曉慧,'廣義公差及其應用',農業機械學報,第38卷第1期,2007,161-163頁 [段明揚,1989] 段明揚,'修配法解裝配尺寸鏈分析',機械工程學報,第25卷第1期,1989,54-56頁。 [臧照良,2009]臧照良,2009,'装配时修配法尺寸链计算',機械製造研究,38(4),2009,51-53頁。 [戴君豪, 2009] 戴君豪,以公差為限制之分組選配方法,國立中興大學機械工程研究所碩士論文,2009。 [蔡志成,2011] 蔡志成,'公差配合與組裝公差分析及配置',光灼華等編著,機械元件設計,第12章,2011,全華圖書。 [呂泰良,1998] 呂泰良,公差與外力對結構靜態誤差之探討,國立中興大學機械系碩士論文,1998。 [何益君,1999] 何益君,公差與受力對機械結構變形影響之探討,國立中興大學機械系碩士論文,1999。
摘要: 
Machinery industry usually install the APC(Automatic Pallet Changing) to improve the utilization of machine tools. The tolerance of table positioning mechanism is deeply related to the accuracy and reliability of the machine. Therefore, tolerance setting and adjustment for positioning mechanism components is an important issue to be investigated. This paper investigates on developing the optimal tolerance allocation method of the Rotary table positioning mechanism which accuracy is not enough. The method is considering the load of table, deformation, Assembly error and product processing cost at the same time.

This research is for the table positioning mechanism which accuracy is not enough. The first step is calculating the table positioning mechanism assembly variation of each axial by tolerance analysis. Table loading deformation analyze by Finite Element Method. According to the deformation of table positioning mechanism construct a mathematical model of the table flatness changes. The product processing cost is objective function. Variation of each axial and mathematical model of the table flatness changes are constraints. According to objective function and constraints, the Optimal Tolerance Allocation problem can be a constrained optimum design problem to solve. The results showed that increase in the cost of 19.05% (NT $ 8270), the table flatness can be improved 56.2%, the variance of each axis drop 50%. The main contribution of this research is developing method of Optimal Tolerance Allocation which consider the load of table, deformation, Assembly error and product processing cost at the same time. The method can increase Flatness and assembly precision without too much product processing cost.

使用工具機加工時為了提高機床的有效利用率,最常見的方法是在加工中心機上配置自動交換工作台,而工作台的定位機構影響機床的精度和可靠性,故定位機構組件之精度、性能、成本之間的取捨為其重要的課題。本研究針對一精度不足之之旋轉工作台定位機構,同時考慮使用時之負載以及組裝精度進行最佳化公差配置,發展考慮組裝精度與受力變形之最佳公差配置方法。

研究針對該工作平台定位機構,首先進行公差分析,計算定位機構組裝後在各軸向之精度變異,接著透過有限元素法分析工作台受負荷時之變形,據以建構定位機構受力造成工作台平面度變化之數學模型,再將兩者做為最佳化公差配置之限制條件,以工作台零組件之公差加工成本為目標函數,進行公差配置之最佳化。結果顯示在成本提高 19.05%(NT$8270)時,工作台平面度可提高 56.2%,各軸精度變異量下降 50%,達到設計之目標。本研究之主要貢獻在於同時考量工作台受負荷與拉力變形及組裝誤差與公差加工成本狀況下的最佳公差配置之方法,所發展之方法與結果可在不需提高太多加工成本即可大幅提高工作台之平面度與組裝精度。
URI: http://hdl.handle.net/11455/91438
Rights: 同意授權瀏覽/列印電子全文服務,2018-07-15起公開。
Appears in Collections:機械工程學系所

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