螺旋二系的代数法研究

ALGEBRAIC APPROACH TO 2-SYSTEM SCREWS

作为基础理论，螺旋理论自本世纪中叶以来，在机构学、机器人研究中的应用，越来越受到重视，并日益显现出广泛的应用潜力。螺旋二系作为螺旋理论重要的基本的内容，国内外学者作了深入研究。由于螺旋迭加研究中引入两螺旋主矢的模之比即变量ｋ，并视确定合螺旋的有关参数为ｋ的函数，从而为螺旋理论研究开辟了崭新的途径，同时，可望得出新的结论。

A basic one, the screw theory has in the studies of niechanism and developm-ent of robots ever since the middle of the century found wider and wideruse, receivedgreater and greater attention, and displayed increasingly extensive Potentials of aPPlicat-ion. Deep-going studies have been made of 2-sysfern screws,both at home and abzoad,with particular attention given fo screw resultants. Use is made of a variable k , as in-troduced in the studies of addition of screws, wkich is the generalized ratio of geating,and thus Parameters for determining a resultant screw are functions of k. As far as thestudies of screw theory are concerned, this may Prove to be a new approach, and a Ptom-ising one at that.