The Infinitesimal Burmester Lines in Spatial Movement

被引：1

作者：

Wang, Delun ^{[1
]}

Wang, Wei ^{[1
]}

Dong, Huimin ^{[1
]}

Lin, Son ^{[2
]}

机构：

[1] Dalian Univ Technol, Dalian, Peoples R China

[2] Tongji Univ, Shanghai, Peoples R China

来源：

MECHANISMS, TRANSMISSIONS AND APPLICATIONS | 2015年 / 31卷

关键词：

Curvature theory; Ruled surface; Invariant; Axode; Kinematics; KINEMATIC DIFFERENTIAL GEOMETRY; RIGID-BODY; INSTANTANEOUS INVARIANTS; ADJOINT APPROACH; MOTION;

D O I：

10.1007/978-3-319-17067-1_1

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The paper studies the infinitesimal Burmester lines of the moving body at any instant, according to the invariance of the constraint ruled surface of the binary link C-C. A line-trajectory is expressed by the invariants of axodes of a rigid body in spatial motion. The Euler-Savary analogue of a line-trajectory in spatial movement is described in the Frenet frame of axodes. Both the stationary line congruence of constant axis curvature and the Ball line are revealed. The degenerated cases of the infinitesimal Burmester lines, the characteristic lines L-HC and L-RC, are discussed according to the H-C curvature and R-C curvature. An numerical example of a spatial linkage RCCC is given to show some of above results.

引用

页码：3 / 10

页数：8

共 13 条

[1]

[Anonymous], DIFFERENTIAL GEOMETR

[2]

Disteli M., 1914, Z MATH PHYS, V62, P261

[3] INSTANTANEOUS INVARIANTS IN 3-DIMENSIONAL KINEMATICS [J].