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研究生:林勇學
研究生(外文):Yung-Hsueh Lin
論文名稱:承受預壓力之滾珠螺桿有限元素分析
論文名稱(外文):Finite Element Analysis of a Ball Screw under Preloading
指導教授:劉永生劉永生引用關係
指導教授(外文):Yung-Sheng Liu
學位類別:碩士
校院名稱:逢甲大學
系所名稱:機械工程學所
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2009
畢業學年度:97
語文別:中文
論文頁數:64
中文關鍵詞:有限元素分析滾珠螺桿預壓
外文關鍵詞:PreloadingBall ScrewFinite Element Analysis
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  • 被引用被引用:13
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滾珠螺桿為工具機中將轉動運動轉換為線性運動的關鍵零組件。為得到精確的傳動,必須消除螺桿、螺帽間的背隙,而使用施加預壓的方法可以達到此目的,並且可提高滾珠螺桿的剛性以及各方面的性能,但因而也造成過大的接觸摩擦力。
本文利用有限元素軟體ANSYS/LS-DYNA®對滾珠螺桿進行動態模擬分析,使用設定接觸來模擬滾珠螺桿中各元件的接觸關係。首先建立單顆滾珠模型進行暫態分析,由電腦模擬的結果可得知滾珠直徑改變量與預壓力之關係,並將模擬分析所得預壓力代入預壓扭矩計算公式,進而求得預壓扭矩。而後建立滾珠螺桿全模模型,並施加角位移和角速度兩種驅動方式,以有限元素法探討滾珠干涉尺寸與預壓力的關係,及預壓力對於滾珠螺桿運動特性的影響。分析結果顯示滾珠螺桿在預壓狀況時,有較好的運轉傳動效率,且對滾珠螺桿在其徑向位移的來回振動有所改善,並對其徑向加速度有減小趨勢。而對螺桿軸向方面其速度與加速度都有明顯的改善,可使得螺桿運動更趨於線性而減少振動。
Ball screw which converts rotational motion to linear motion is one of the important components for precision machine center. A ball screw is composed of screw, nut, and balls circulating system. In order to have accurate transmission, the backlash between the nut and screw must be removed. Using large size balls to create preload for the ball screw not only can achieve this goal, but also increase the stiffness and transmission performance of ball screw. However preloading would cause excessive contact friction. Therefore getting of properly preload is a critical problem in ball screw design.
In this paper, finite element analysis software ANSYS/LS-DYNA® is employed to model the ball screw dynamically and analyze the preload. In LS-DYNA model all components have been assigned identified contact entities to simulate the contact relationship of ball screw. A single ball model is established first for transient analysis. The computer simulation results from single ball model will give the relationship between ball diameter and contact force, and by using of the contact force may calculate the basic torque. Then, a whole model of ball screw is built, and the screw angular displacement and angular velocity are adopted as input of analysis. The effects of preloading have been analyzed by LS-DYNA. The results of computer simulation show that preloading for ball screw can reduce the vibration in radial direction, and can improve the efficient of transmission since the axial velocity is more linearized.
摘要.............................................................................................................i
Abstract......................................................................................................ii
目錄...........................................................................................................iii
圖目錄.........................................................................................................v
表目錄.....................................................................................................viii
第一章 緒論...............................................................................................1
1.1前言................................................................................................1
1.2文獻回顧........................................................................................2
1.3研究動機及方法............................................................................5
1.4本文大綱........................................................................................7
第二章 相關基礎理論..............................................................................9
2.1滾珠螺桿........................................................................................9
2.1.1滾珠螺桿之分類..................................................................9
2.1.2滾珠螺桿預壓方式............................................................12
2.2 赫茲接觸理論.............................................................................15
2.3 接觸碰撞分析.............................................................................17
2.3.1接觸碰撞類型....................................................................17
2.3.2接觸碰撞算法概述............................................................18
第三章 滾珠螺桿有限元模擬................................................................20
3.1 單顆滾珠預壓力分析.................................................................20
3.1.1單顆滾珠模型建立............................................................20
3.1.2 單顆滾珠有限元模擬.......................................................21
3.2滾珠螺桿全模分析......................................................................25
3.2.1滾珠螺桿全模建立............................................................25
3.2.2滾珠螺桿全模有限元模擬................................................28
第四章 分析結果與討論........................................................................35
4.1單顆滾珠預壓力分析結果.........................................................35
4.1.1鋼珠應力結果探討............................................................35
4.1.2鋼珠壓合前後直徑改變量................................................37
4.1.3鋼珠壓合後接觸力............................................................39
4.2全模滾珠螺桿分析結果.............................................................42
4.2.1定角位移............................................................................42
4.2.2定角速度............................................................................44
第五章 結論與未來展望........................................................................60
5.1結論..............................................................................................60
5.2未來展望......................................................................................62
參考文獻...................................................................................................63
1. Ro, P. I. and Hubbel, P. I., 1993, “Model Reference Adaptive Control of Dual-modeMicro/macro Dynamics of Ball Screws for Nano-meter Motion,” ASME Journal ofDynamic Systems, Measurement and Control, Vol. 115, No. 1, pp. 103-108.
2. Spath, D., Rosum, J., and Haberkern, A., 1995, “Kinematics, Frictional Characteristics and Wear Reduction by PVD Coating on Ball Screw Drives,” Annals of the CIRP, Vol. 44, pp. 349-352.
3. J. F. Cuttino, T. A. Dow and B. F. Knight, 1997 “Analytical And Experimental Identification of Non-linearities in a Single-Nut, Preloaded BallScrew,” ASME Journal of Mechanical Design, Vol. 119, No. 1, pp. 15-19.
4. H. Weule and H.U. Golz, 1991, “Preload-control in Ball Screw – A New Approach for Machine Tool Building”, Annals of the CIRP, Vol. 40, pp. 383-386.
5. J.S. Chen and I.C. Dwang,"A Ballscrew Drive Mechanismwith Piezo-electric Nut for Preload and MotionControl ",Int. J. Mach. Tools Manufact. Vol.40 2000,pp.513-526
6. T. A. Harris, 1984, Rolling Bearing Analysis, John Wiley & Sons, New York.
7. 穆立洋, 2000, “滾動接觸之剛度探討”,私立中原大學博士論文
8. 孫明華,2002, “預壓對滾珠螺桿磨耗之實驗探討”,國立中興大學碩士論文
9. 魏進忠, 2003, “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”,國立成功大學博士論文
10. 曹博涵, 2005, “滾珠螺桿預壓力、軸向剛性與尺寸及公差關係之探討”,國立中興大學碩士論文。
11. 黃惠琪, 2006, “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
12. Hiwin Technology Company, “Hiwin Ballscrews Technical Information, Tanchung, Taiwan
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