現今定力彈簧的設計/製造大都仰賴專業人員的經驗，以不斷試誤的方式調整彈簧製程參數，頗耗費時間，並缺乏科學數據。本研究使用CAE模擬技術進行定力彈簧之製程參數探討，主要分為三部份：以CAE軟體模擬定力彈簧之製程參數、以田口法輔助定力彈簧設計分析及模擬與分析的交叉比對，其中“以CAE軟體模擬定力彈簧之製程參數”是利用CAE軟體ABAQUS來定義及模擬影響彈簧內徑尺寸的參數因子，包括：出線距離、檔板角度、製程溫度及成型時間；“田口法輔助定力彈簧設計分析”是以田口方法分析從參數因子中找出較為顯著的影響因子，再以其預測定力彈簧在不同水準排配下所產生的彈簧內徑尺寸；“模擬與分析的交叉比對”是以ABAQUS再次驗證不同因子水準所產生的彈簧內徑是否與預測值相符。
經由本研究的田口分析可知影響定力彈簧之性能的顯著因子為檔板角度及出線距離，將此兩個因子對定力彈簧之內徑統整為彈簧設計直交表，設計者即能快速取得所需彈簧內徑之製程參數參考數值，以大幅縮短定力彈簧之人為試誤時間。

The design and manufacturing of the Negator spring have relied on the experience of the professionals. Modifying the manufacturing parameters by trial and error method costs time and resources.
This study investigates the relationship between manufacturing parameters of the Negator spring by CAE simulation. It can be divided into the following three major parts: (1) simulating the manufacturing parameters of Negator spring by CAE software, (2) analyzing the simulation result by the Taguchi method, and (3) cross-comparing the predicted values from the interpolation method and the values from the CAE results. Four parameters, including distance, angle, temperature and time, are firstly defined as potential factors which may have influence on the assignment of inner diameter of the spring. The software ABAQUS is then used to create the CAE model of simulating the manufacturing processes of the Negator spring. Using the CAE simulation model, various spring inner diameters can be obtained by varying the values of the four potential factors. The results are further analyzed by the Taguchi method in order to find dominant factors. In the last stage, an interpolation method is applied to find a predicted value of spring inner diameter to fit the engineering design need, and the value is re-validated using the ABAQUS software.
It is found that angle and distance are dominant factors by the Taguchi analysis. By fixing the value of other non-dominant factors, the relationship between angle and distance are summarized into a table which can be a reference for Negator spring designers.
Keywords：CAE, Negator spring, Taguchi method

[1] 劉晉奇（2006），有限元素分析與ANSYS的工程運用，滄海書局，台北市。
[2] 莊育傑，「以知識為基之圓柱形螺旋彈簧設計系統」（2008），碩士論文，中華大學機械工程系，新竹市。
[3] 賴俊豪，「圓柱形螺旋動靜態之有限元素分析」（2006），碩士論文，台灣科技大學機械工程系，台北市。
[4] 呂洛文，「螺旋壓縮彈簧承受軸向力與扭矩之挫曲研究」（2010），碩士論文，台灣科技大學機械工程系，台北市。
[5] 柯定成，「大型滑蓋之結構分析與尺寸參數設計」（2010），碩士論文，台灣科技大學機械工程系，台北市。
[6] 馬揚傑，「滑蓋彈簧應力分析與尺寸參數設計」（2009），碩士論文，台灣科技大學機械工程系，台北市。
[7] 蘇文彥，「有限元素ABAQUS分析圓管在循環彎曲負載下之力學行為」（2006），碩士論文，成功大學工程科學系，台南市。
[8] 陳盈章，「滑蓋彈簧應力分析與尺寸參數設計」（2007），碩士論文，台灣科技大學機械工程系，台北市。
[9] Andrea, S. and Eugenio, D. (2015), “Analytical and Numerical Modeling of Shape Memory Alloy Negator Spings for Long-Stroke Constant-Force Actuators,” Journal Intelligent Material Systems and Structures, Vol. 26, No. 6, pp. 619-630
[10] Votta, F. A. (1952), “The Theory and Design of Long-Deflection Constant-Force Spring Elements,” Transactions of the ASME, Vol. 74, pp. 439-450.
[11] 鐘義（2017），機件原理，台科大圖書，台北市。
[12] 李國誠，「彈簧生產控制整合系統」（2012），碩士論文，台灣海洋大學資訊工程學系，基隆市。
[13] http://www.ft9998.com/
[14] https://www.youtube.com/watch?v=IGZMHG_qaa4
[15] Stefan, L. and Jonas, H. (2007), Alternative Methods for Heat Stress Relief, Master Thesis, Department of Applied Physics and Mechanical Engineering, Lulea University of Technology, Luleå, Sweden.
[16] https://www.moldmakingtechnology.com/articles/sub-harmonic-stress-relief-improves-mold-quality
[17] Grenier, M and Gingras, R. (2003), “Rapid Tempering and Stress Relief Via High-Speed Convection Heating,” Industrial Heating, Vol. 70, No. 5, pp. 40 - 45