Synthesis of Stephenson-III Mechanism for Generating a Coupler Curve with up to Five Acceleration Poles

演生具五個以下加速度極心之耦桿點曲線的Stephenson-III機構之合成

黃文敏(Wen-Miin Hwang) ； 王敬仁(Jing-Ren Wang)

《中國機械工程學刊》 34卷6期 (2013/12) Pp. 487-495

摘要

本文應用一套解析法來合成平面六連桿Stephenson-III機構，使其演生之耦桿點曲線通過最多達五個加速度極心。文中首先針對輸入桿為等速旋轉之Stephenson-III機構，推導其在固定平面與耦桿平面上之加速度極心曲線參數式。由於耦點平面上之加速度極心曲線具有多重點的特性，若以該多重點為耦點桿，其耦桿點曲線必定可通過二個以上的加速度極心。綜合上述所推導之參數式與加速度極心曲線多重點之特性，本文提出一套可行的合成方法來演生Stephenson-III機構之耦桿點曲線，通過最多達五個指定位置的加速度極心，並符合所指定的輸入桿角位移。文中並以兩範例來驗證此法之可行性。

並列摘要

This article utilizes an analytical method for the dimensional synthesis of a planar six-bar Stephenson- III mechanism for generating a coupler curve with up to five acceleration poles. The parametric equations expressing the loci of the acceleration pole on the fixed link and the coupler plane of the Stephenson-III mechanism driven by a crank with a constant rotational speed are derived. The desired coupler point of a given path generator passing through two or more acceleration poles should be a multiple point on the locus of the acceleration pole described on the coupler plane. Using the parametric equations and the multiple point on the locus of the acceleration pole on the coupler plane, a procedure is proposed for synthesizing the Stephenson-III mechanism for generating a coupler curve with up to five specified acceleration poles that accord with the specified crank angles. Two examples are provided to illustrate the feasibility of the proposed method.

並列關鍵字

Stephenson-III mechanism ； acceleration pole ； path generator ； parametric equation