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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Rus. J. Nonlin. Dyn., 2024 Volume 20, Number 1, Pages 141–149 (Mi nd885)

This article is cited in 1 paper

Nonlinear physics and mechanics

On the Dynamics of a Biped upon a Moving Rough Plane

A. P. Ivanov

Sirius University of Science and Technology, Olimpiyskiy pr. 1, Sirius, 354340 Russia

Abstract: We consider the planar problem of the dynamics of a body moving along a horizontal with two legs in contact with a rough horizontal plane. Possible types of movements of the body are discussed depending on the acceleration of the support: relative equilibrium, sliding on two legs, lifting off one leg without sliding on the other, lifting off one leg while sliding on the other. Based on the results obtained, it is shown that, when sliding on two legs, the friction force is generally anisotropic. This makes it possible to transport the body due to simple vibrations of the plane, for example, harmonic vibrations.

Keywords: Coulomb friction, a body on a moving support, unilateral contact, vibrotransportation

MSC: 70E18

Received: 12.12.2023
Accepted: 27.01.2024

Language: English

DOI: 10.20537/nd240304



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