| Issue |
ESAIM: COCV
Volume 13, Number 4, October-December 2007
|
|
|---|---|---|
| Page(s) | 657 - 668 | |
| DOI | https://doi.org/10.1051/cocv:2007034 | |
| Published online | 20 July 2007 | |
On the mobility and efficiency of mechanical systems
Department of mathematics, Haifa
32000, Israel; gershonw@math.technion.ac.il
Received:
8
February
2006
It is shown that self-locomotion is possible for a body in Euclidian space, provided its dynamics corresponds to a non-quadratic Hamiltonian, and that the body contains at least 3 particles. The efficiency of the driver of such a system is defined. The existence of an optimal (most efficient) driver is proved.
Mathematics Subject Classification: 37J50 / 37K25 / 70H33
Key words: Lagrangian mechanics / efficiency / self-locomotion
© EDP Sciences, SMAI, 2007
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.