伺服沖床是近幾年來因應精密製造與高科技電子產品自動化生產需要而產生的設備，採用數位伺服控制，可從事多樣化的沖、鍛、壓製程。本研究針對伺服沖床傳動機構之一的滾珠螺桿機構，利用變轉速輸入的概念，找出符合各類型沖壓加工所需之運動需求的轉速函數，並進一步考慮動力之需求，期能將變轉速滾珠螺桿機構應用於伺服沖床。
　　首先針對伺服沖床與滾珠螺桿做一介紹。接著推導滾珠螺桿機構之輸入與輸出桿件的運動特性方程式，以為運動分析之基礎。接著分析所需輸入轉矩與輸入功率大小。然後以最小化輸入功率峰值為目標函數，分別針對其一般化運動需求及伺服沖床於深引伸與精密剪切加工等應用，設計出滿足運動與動力特性之輸入轉速函數。最後，設計與實作出一套伺服滾珠螺桿機構的原型機測試系統，透過實驗方式驗證了本研究之可行性。由結果得知，本研究所使用的轉速函數設計方法，亦可用於輸入桿件必須正逆轉使用的滾珠螺桿機構。而變轉速滾珠螺桿機構之多樣化的輸出運動特性，其趨勢確實能夠滿足伺服沖床高速下降、等速加工、以及下死點停留時間延長等特性。

　　Servo presses are the manufacturing equipments resulted from the need of the recent precision manufacturing and the current automatic producing for high-tech electronic products. The slider of the servo press can perform various processes by digital servo control. Here we apply the concept of variable-input-speed for finding the suitable kinematic functions for the various requirements of sheet-metal forming processes for servo presses that are driven by ball-screw-mechanisms. The dynamic requirements are considered for the application of the variable-speed ball-screw-mechanisms on the servo presses. Firstly, the introduction of servo presses and ball-screw-mechanisms is presented. Then, the functions of the kinematic relationship between the input link and the output link of the ball-screw-mechanisms are derived. And, the functions of desired input torque and the input power are derived. Then, the minimum input power of the slider is selected as the objective function for designing the desired input speed trajectories that satisfy the specific kinematic and dynamic specifications. Finally, a prototype “Servo-Ball-Screw-Mechanism” is built and tested. The results show that the derived input speed trajectories also can be applied to ball-screw-mechanisms such that the direction of the input link is reversed. And, the various characteristics of the output motion of ball-screw-mechanisms can achieve high speed dropping, uniform processing, and extending the retention period of the low dead center of servo presses.

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