Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/2278
標題: 預拉對於雙螺帽滾珠導螺桿之轉動摩擦扭矩與溫升影響之探討
An Investigation on the Rotational Friction Torque and Temperature Raise due to Pretension of Double-Nut Ballscrew
作者: 蕭旭原
Siao, Syu-Yuan
關鍵字: pretension;預拉;ballscrews;temperature raising;滾珠螺桿;溫升
出版社: 機械工程學系所
引用: 【Lundberg & Sjörall, 1958】G. Lunndberg and H. Sjörall, “Stress and Deformation in Elastic Contacts,” Pub.4, Institute of Theory of Elasticity and Strength of Materials, Chalmers Inst. Tech., 1958. 【Palmgren, 1959】A. Palmgren, Ball and Roller Engineering, 3rd ed., Burbak, Philadelphia, 1959. 【Hertz, 1881】H. Hertz, “The Contact of Elastic Solids,” J. Reine Angew Math., Vol. 92, pp. 156-171, 1881. 【Harris, 1984】T. A. Harris, Rolling Bearing Analysis, John Wiley & Sons, New York, 1984. 【Markho, 1988】P. H. Markho, “Highly Accurate Formulas for Rapid Calculation of the Key Geometrical Parameters of Elliptic Hertzian Contacts,” ASME Journal of Tribology, vol. 109, pp. 640-647, 1988. 【Liu et al, 2001】J.-Y. Liu, M.-H. Hsu, F.-C. Chen, “On the Design of Rotating Speed Functions to Improve the Acceleration Peak Value of Ball-Screw Transmission Mechanism,” Mechanism and Machine Theory, vol. 36, pp. 1035-1049, 2001. 【Prashad, 2001】H. Prashad, “Relative Comparison of Stiffness and Damping Properties of Double Decker High Precision and Conventional Rolling-Element Bearings,” Tribology Interational ,vol. 35, pp. 265-269, 2002. 【Chen et al., 2002】T. Y. Chen, P. H. Hou, J. Y. Chiu, “Measurement of the Ballscrew Contact Angle by Using the Photoelastic Effect and Image Processing,” Optics and Lasers in Engineering ,vol. 38, pp. 87-95, 2002. 【Lin, 2003】J. F. Lin, C. C. Wei, “Kinematic Analysis of the Ball Screw Mechanism Considering Variable Contact Angles and Elastic Deformations,” Journal of Mechanical Design, vol. 125, pp. 717-733, December 2003. 【Ting & Zhang, 2004】K. L. Ting and Y. Zhang, “On the Basis Screws and Screw Systems of Point-Line and Line Displacements,” Transactions of the ASME, vol. 126, January 2004. 【Mundo & Yan, 2007】D. Mundo, H. S. Yan, “Kinematic Optimization of Ball-Screw Transmission Mechanisms,” Mechanism and Machine Theory, vol. 42, pp. 34-47, 2007. 【Zhu, 2007】L. Zhu, “Dynamic Analysis and Design of the Spindle-Bearing System in Turn-Milling Centre,” Proceeding of the IEEE International Conference on Automation and Logistics, August, 2007. 【Fu, 2007】G. Fu, “An Extension of Hertz’s Theory in Contact Mechanics,” Journal of Applied Mechanics, vol. 74, pp. 373-374, March 2007. 【謝介銘,1995】謝介銘,精密機械零組件及系統之可靠度分析,國立交通大學碩士論文。 【孫明華,2002】孫明華,預壓對滾珠螺桿磨耗之實驗探討,國立中興大學碩士論文,2002。 【魏進忠,2003】魏進忠,單螺帽雙圈滾珠螺桿在預負荷及潤滑作用條件下運動機制與機械性能的理論分析及實驗印證,國立成功大學碩士論文,2003。 【曹博涵,2005】曹博涵,滾珠螺桿預壓力、軸向剛性與尺寸公差關係之探討,國立中興大學碩士論文,2005。 【黃惠琪,2006】黃惠琪,單螺帽歌德牙型滾珠螺桿之尺寸干涉量對預壓力影響之探討,國立中興大學碩士論文,2006。 【朱元一,2007】朱元一,歌德曲面與球面接觸變形之探討,國立中興大學碩士論文,2007。 【鄔詩賢,2008】鄔詩賢,“工具機滾動性接觸特性與精度分析”,機械工業雜誌,第300期 pp.4-15,2008。 【Hiwin】Ballscrews Technical Information, S99TC09-0809,2008. 【Hiwin】上銀科技公司網頁,http://www.hiwin.com.tw.
摘要: 
滾珠導螺桿因其應用滾動傳遞動力之方式具有低摩擦、低磨耗、高傳動效率與精密定位等特性,故已廣泛地被應用於航空業、電子設備、醫療儀器以及CNC工具機等產業中。此類設備在組裝滾珠導螺桿時,都會對滾珠導螺桿施以預拉量,以增加螺桿之剛性以及補償運動造成之溫升熱變形;然而預拉之效果尚缺乏量化之分析,本研究即針對此類運動系統探討其裝配過程中施加於滾珠導螺桿之預拉量對於該系統所造成之運動特性變化的影響。
本研究針對雙螺帽滾珠導螺桿首先分析鋼珠在螺帽內部與螺桿之接觸幾何,再藉由Hertz接觸理論推導滾珠導螺桿承受內部預壓力作用時其元件之應力特徵,進一步分析預拉對螺桿所產生之應力分佈,比較其受預壓與預拉同時作用時所造成之應力特徵,結果顯示預壓會造成集中性之局部應力,但預拉所造成的效果為螺桿斷面之全域性應力,但前者較後者高出數百倍。研究進一步設計實驗,針對雙螺帽滾珠導螺桿分別量測螺帽端與軸承端之啟動摩擦力矩與連續往復運動之溫升變化,以與上述應力分佈之效果比較,同時探討預拉對於此類進給系統之影響。實驗結果顯示,預拉所產生最明顯之影響為軸承端之啟動摩擦力矩與溫升,其啟動摩擦力矩隨著預拉量之增加而提高,兩者約為線性關係;而溫升除了隨運動時間增長而提昇之外,也隨著預拉量之增加而提高。研究最後亦根據實驗結果及曲線崁合建立該軸承在不同預拉量下所造成之啟動摩擦力矩與溫升之經驗函數,作為調整與補償滾珠導螺桿預拉量之依據。

Ballscrews has been widely used in power transmission、precision positioning.With it''s low frictional rolling motion、low frictional power dissipation、high transmission efficient et al, it has been widely used in aerospace、electronic equipments、medical instrumentals and CNC machine tool fields. In the machine tool field, still use ballscrews as the precision positioning and feed system components.While machine tool makers assemble ballscrews, they will give a pretension value on it. The purpose is to increase it''s stiffness、compensate the temperature rising.
In the investigation, first we will analyze the geometry contact of ball on screw and nut.Further by Hertz contact theory, we will get the component stress characteristic by itself preload mechanism, and get the stress character by pretension mechanism.
In the experiment, it will get the effects on static-friction-torque and temperature rising of the pretension mechanism, on bearing part and nut part individually. By the result of the experiment, the pretension mechanism has the obvious effect on the static-friction-torque and temperature rising function of pretension value. In the future, the pretension value of the feed system can be monitored by the experience function, and compensate it.
URI: http://hdl.handle.net/11455/2278
其他識別: U0005-1808200915490500
Appears in Collections:機械工程學系所

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