期刊名称：Constantin Brancusi University's Annals, Letters and Social Sciences Serie
印刷版ISSN：1844-6051
出版年度：2009
期号：2
出版社：Academica Brancusi Publisher
摘要：This paper presents the position analysis in polynomial form of the Assur group of class 3 and order 3 including two internal and one external prismatic joints (RP-RP-PR triad). The aim of this position analysis is to determine all possible configurations of the Assur group, for a given position of its external joints. The position analysis leads to a non-linear system of three equations with three unknown parameters. Using a successive elimination procedure, a final polynomial equation of fourth order in one unknown is obtained. The real solutions of the polynomial equation correspond to assembly modes of the Assur group. The smaller upper-bound of the real solutions is established for the investigated triad. A numerical application of the proposed method is presented.
