本研究主要目的為設計一曲柄懸臂機構,使其輸出端可滿足任一曲線路徑移動,並以最佳化設計來找出最圓滑之非圓形齒輪節曲線,使得齒形之產生更為容易。曲線路徑可分為開放式及封閉式兩種形式,皆以B-spline曲線擬合的原理來設計出通過給定之擬合點位置之曲線,兩種形式之曲線其最大差別在於封閉式曲線路徑之起點與終點為同一點,該點又稱為閉合點。最佳化之設計主要是以非圓形齒輪節曲線之曲率相差值為目標函數, B-spline曲線路徑主要的設計參數是曲線之起點與終點的切線向量,因此開放式曲線的設計變數為起點與終點之切線向量,確定目標函數及設計變數後,再以最佳化之計算求得最圓滑之節曲線。最後以Solid-Works繪製各零件及組合件,並以COSMOS-Motion進行動作模擬與驗證。
The purpose of this study is to optimize a crank cantilever mechanism, that the output can meet the specific curve path with the smoothest noncircular gear pitch curve. The desired curved path can be divided into open and close forms, by applying the principle of the B-spline curve fitting to pass through the position of input point. The difference betwen the two forms of the path is that the starting and ending points are the same point, i.e., close point, for the closed curve. The objective function is to minimize the curvature difference of pitch curve of noncircular gear. The key design parameters of the open B-spline curve path are the start point and end point tangent vector. This study apply the optimization mathed to obtain the smooth pitch curve. These parts and assemblies were drawn by Solid-Works, then COSMOS-Motion of Solid-Works was used to simulate and check.