EXISTENCE OF CIRCLE-POINT AND CENTER-POINT CIRCLES FOR 3-PRECISION-POINT-DYAD SYNTHESIS

被引：3

作者：

LOERCH, RJ ^{[1
]}

ERDMAN, AG ^{[1
]}

SANDOR, GN ^{[1
]}

机构：

[1] UNIV FLORIDA,MECH ENGN DESIGN LAB,GAINESVILLE,FL 32611

来源：

JOURNAL OF MECHANICAL DESIGN-TRANSACTIONS OF THE ASME | 1979年 / 101卷 / 04期

关键词：

D O I：

10.1115/1.3454100

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A graphical method is developed for expressing solutions to all possible revolute dyad, three finitely separated position synthesis problems, where any two rotational displacements are prescribed. Also, cases are discussed where two positions and one velocity are prescribed. The three-precision-point solutions are shown to be represented by circular loci of fixed and moving dyad pivots that are derived from an analytical treatment based on bilinear transformation of the synthesis equations. The superposition of two three-position dyad problems with two common positions yields points on the four-precision-point Burmester curves satisfying both problems. A new alternative explanation for the classical Burmester curve construction is offered. Regions of the plane are found where dyad moving pivots cannot exist for a given problem. Computer graphics output is used to demonstrate several typical solutions. © 1979 by ASME.

引用

页码：554 / 562

页数：9