The dynamics of a Chaplygin sleigh with an elastic internal rotor

DOI10.1134/S1560354719010076zbMath1412.37066OpenAlexW2914607465MaRDI QIDQ1739587

Vitaliy Fedonyuk, Phanindra Tallapragada

Publication date: 26 April 2019

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354719010076

zbMATH Keywords

nonholonomic systemsChaplygin sleighpassive degrees of freedom

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonholonomic systems related to the dynamics of a system of particles (70F25) Dynamics of multibody systems (70E55) Nonholonomic dynamical systems (37J60)

Related Items (5)

The motion of an unbalanced circular disk in the field of a point source ⋮ Generalized Lagrange's equations for systems with general constraints and distributed parameters ⋮ Plane-parallel motion of a snake robot in the presence of anisotropic dry friction and a single control input ⋮ Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions ⋮ Normal forms and averaging in an acceleration problem in nonholonomic mechanics

Cites Work

• Qualitative analysis of the dynamics of a wheeled vehicle
• How to control Chaplygin's sphere using rotors
• The dynamics of an articulated \(n\)-trailer vehicle
• Nonlinear dynamics and stability of the skateboard
• The Lyapunov-Malkin theorem and stabilization of the unicycle with rider
• The inertial motion of a \textit{roller racer}
• Sinusoidal control and limit cycle analysis of the dissipative Chaplygin sleigh
• Nonholonomic mechanical systems with symmetry
• The dynamics and control of a spherical robot with an internal omniwheel platform
• Aeromechanics of passive rotation in flapping flight
• Nonholonomic motion planning: steering using sinusoids
• The theory of the generalized magnus effect for non-holonomic mechanical systems
• Trajectory generation for the N-trailer problem using Goursat normal form
• PASSIVE AND ACTIVE FLOW CONTROL BY SWIMMING FISHES AND MAMMALS
• Unnamed Item
• Unnamed Item

This page was built for publication: The dynamics of a Chaplygin sleigh with an elastic internal rotor