本研究發展一套可搜尋平面彈簧之幾何參數最佳化計算技術，先建立平面彈簧幾何外形，再配合數值模擬並結合簡易型共軛梯度法(Simplified Conjugate-gradient method, SCGM)，進行最佳化分析。此外，探討兩型平面彈簧，包括阿基米德螺旋線型及迷宮型，並針對幾何參數、懸臂數目及固定質量等參數的影響進行討論。實驗方面架設平面彈簧之彈簧常數量測系統，再以實驗數據驗證數值模擬，並修正模擬的設定使其更能準確預測平面彈簧之彈簧常數，作為未來設計平面彈簧最佳化設計之目的。
本研究設計將實驗彈簧常數與數值模擬彈簧常數進行比較，其結果相當接近。因此，可確定可以透過數值模擬配合最佳化搜尋。對於阿基米德螺旋線型，可以探討螺旋線之間隙、螺旋線之懸臂間距、起始離圓心距離及螺旋角角度的組合設計下。對於迷宮型，可以探討狹縫之間隙、狹縫之懸臂間距、迷宮式外徑及狹縫角角度的組合設計。利用最佳化搜尋，可以達到特定彈簧常數之彈簧設計。

This study develops a set of optimal calculation techniques for the geometric parameters of the searchable planar spring. Start by setting up the geometric dimensions of the planar spring, and then combined the numerical simulation with the simplified conjugate gradient method (SCGM) for optimization analysis. In addition, explore two types of planar springs, including Archimedes spiral type and labyrinth type, acquire a spring design with a specific spring constant by using optimization search. Then verify the numerical simulation results with the experimental data, so that the simulation can more accurately predict the spring constant of the planar spring more accurately, to be the purpose of designing the optimal design of the planar spring in the future.

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