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2015 | OriginalPaper | Chapter

The Infinitesimal Burmester Lines in Spatial Movement

Authors : Delun Wang, Wei Wang, Huimin Dong, Son Lin

Published in: Mechanisms, Transmissions and Applications

Publisher: Springer International Publishing

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Abstract

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.

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next chapter Educational and Research Kinematic Capabilities of GIM Software
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Metadata
Title
The Infinitesimal Burmester Lines in Spatial Movement
Authors
Delun Wang
Wei Wang
Huimin Dong
Son Lin
Copyright Year
2015
Book
Mechanisms, Transmissions and Applications

Print ISBN: 978-3-319-17066-4

Electronic ISBN: 978-3-319-17067-1

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-17067-1_1

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