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研究生:曾吉禎
論文名稱:螺旋彈簧在旋轉受壓狀態下之穩態分析
論文名稱(外文):Steady State Analysis of Spinning and Compressing Helical Springs
指導教授:林呈彰
學位類別:碩士
校院名稱:國立中正大學
系所名稱:機械工程研究所
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:1998
畢業學年度:86
語文別:中文
論文頁數:88
中文關鍵詞:螺旋彈簧旋轉受壓
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  在綜合加工機中,主軸用來固定刀具,並藉著快速轉動使切削工具有充分的表面速度進行切削加工。主軸利用拉刀機構提供拉刀力以固定刀具,若拉刀機構所提供的拉刀力不足,會影響加工效率及品質。故我們必須用一套量測系統,在主軸製造完成或長時間的操作使用後,測知拉刀機構是否能提供所需拉刀力及其剛性。
  陳勇達(1996)設計一拉刀力的量測裝置。利用裝置內的螺旋彈簧來平衡拉刀機構中的盤形彈簧所產生的拉刀力,再由螺旋彈簧位移變化來推知拉刀力大小。此設計中,量測動態之主軸拉刀力時,螺旋彈簧是處於受壓及旋轉的狀態下,因此本研究利用漢米頓原理(Hamilton's Principle)及變分法,提出在受壓旋轉狀態下的螺旋壓縮彈簧在圓截面、變節矩角、變螺旋半徑的動態方程式,同時建立螺旋彈簧在穩態時其軸向變形、徑向變形和軸向力及轉速的關係式。然後利用有限元素分析軟體建立彈簧的實體模型與有限元素模型,以分析其軸向變形和軸向力及轉速的關係。將有限元素軟體分析得的結果和理論分析值作比較,發現此二者的趨勢有良好的一致性。


  In general machining operations, the cutting tools were held by the draw - in mechanism in the spindle. Insufficient draw - in force would cause poor machining efficiency and quality. So, the draw - in force should be measured peridoically by a set of measurement system after the CNC machine operated for a long time.
  A set of draw - in force measurement device was designed by Yung - Da Chen in 1996. The force produced by the helical spring in the measurement device balanced the draw - in force produced by Belleville springs. Then the draw - in force produced by Belleville springs. Then the draw - in force could be measured by the displacement variation of the helical spring which was compressing and spinning. General dynamic equations for the springs with circular cross section, varying pitch angle and radius were derived by using Hamilton's Principle and variational method. For a specific spring with constant axial loading and rotation speed, the axial and radial deformation were found in this research. Then, the finite element model built b using finite element analysis software were used to find the axial deformation of the helical spring at specific axial loading and rotation speed. The results we found by FEM analysis and theoretical derivation had the same tendency.

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