MAPPINGS OF SPATIAL KINEMATICS

被引：83

作者：

RAVANI, B ^{[1
]}

ROTH, B ^{[1
]}

机构：

[1] STANFORD UNIV,DEPT MECH ENGN,STANFORD,CA 94305

来源：

JOURNAL OF MECHANISMS TRANSMISSIONS AND AUTOMATION IN DESIGN-TRANSACTIONS OF THE ASME | 1984年 / 106卷 / 03期

关键词：

MECHANISMS; -; Analysis;

D O I：

10.1115/1.3267417

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Mappings are studied of spatial kinematics and the geometry for which a spatial displacement is an element. Study's soma is reviewed and it is shown that Euclidean geometry in three-space with spatial displacements as elements corresponds to elliptic geometry of points in a projective dual three-space. Study's eight parameters are used to define the mapping of spatial kinematics into points of this projective dual three-space. The basic geometric properties of this dual three-space representation of Study's soma is developed and it is applied to the study of spatial motions and mechanisms.

引用

页码：341 / 347

页数：7