Periodic locomotion of a two-body crawling system along a straight line on a rough inclined planeстатья
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Дата последнего поиска статьи во внешних источниках: 6 декабря 2018 г.
Аннотация:The motion of a two-body limbless crawler along a line of maximum slope on
an inclined plane is considered. Dry friction (anisotropic in the general case) acts
between the system's bodies and the underlying plane. The motion is excited and controlled
by a periodic change in the distance between the bodies. Of most interest is
the periodic upward motion of the system, when the velocity of the system's center
of mass changes periodically with a period coinciding with that of the excitation. A
mathematical model of the crawler is presented. An upper bound for the inclination
angles of the plane at which the system can move upward is estimated. This estimate
is based on the averaged model, which implies smallness of the coefficient of friction.
Numerical and physical simulation is performed to verify the theoretical results and
define an applicability area for them.