Interrelationship between screw systems and corresponding reciprocal systems and applications

被引:139
作者
Dai, JS [1 ]
Jones, JR
机构
[1] Kings Coll London, Sch Phys Sci & Engn, Dept Mech Engn, London WC2R 2LS, England
[2] JP & J Rees Jones, Wirral CH61 7XP, Merseyside, England
关键词
D O I
10.1016/S0094-114X(01)00004-0
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper discusses the relationship between a screw system and its corresponding reciprocal system based upon set theory, proposes a theorem, makes a proposition with corollaries to specify the relationship between the two screw systems and characterises all cases in screw systems. The theory is then applied to the one-, two-, and three-systems and their corresponding reciprocal five-, four-and three-systems, and used to predict reciprocal screws and the subsequent relationship with the existing screw system. A further application is given by selecting screws to design a system such that a certain intersection is desirable between the system and its reciprocal system. As a result, a method of generating a one-system of reciprocal screw from a five-system and of generating a reciprocal system from a co-reciprocal system is given. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:633 / 651
页数:19
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