Mechanisms Generating Line Trajectories
Journal article
Selig, J. and Di Paola, V. (2023). Mechanisms Generating Line Trajectories. Mechanism and Machine Theory. 191, p. 105494.
Authors | Selig, J. and Di Paola, V. |
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Abstract | In this work the problem of designing mechanisms to guide a line along a ruled surface is considered. This is motivated by the idea of illustrating, by means of a physical model, the set of lines in a general linear line complex. Cylindrical symmetry implies that the problem reduces of designing a mechanism to move a line along the regulus of a rectangular hyperbolic paraboloid. This leads to the study of several simple ruled surfaces and congruences of lines. In particular the paper studies the regulus of the elliptical hyperboloid, the cylindroid and linear line congruences. In each case relatively simple mechanisms are designed to constrain a line in the mechanism to a given space of lines. |
Keywords | Line geometry, constraint varieties, Study quadric |
Year | 2023 |
Journal | Mechanism and Machine Theory |
Journal citation | 191, p. 105494 |
Publisher | Elsevier |
ISSN | 1873-3999 |
Publication dates | |
27 Sep 2023 | |
Publication process dates | |
Accepted | 19 Sep 2023 |
Deposited | 28 Sep 2023 |
Publisher's version | License File Access Level Open |
Accepted author manuscript | License File Access Level Controlled |
https://openresearch.lsbu.ac.uk/item/950vq
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