Nonlinear normal modes in a system with nonholonomic constraints

DOI10.1023/A:1012946515772zbMath1004.70009OpenAlexW4251936819MaRDI QIDQ5960058

Richard H. Rand, Deepak V. Ramani

Publication date: 11 April 2002

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1012946515772

zbMATH Keywords

rigid bodyphase flowlinear springs1:1 internal resonanceChaplygin's sleighnonholonomic constraintnonisolated equilibrianonlinear normal modesplanar motionsecond-order averaging

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Dynamics of a rigid body and of multibody systems (70E99) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (2)

On the validity of the vakonomic model and the Chetaev model for constraint dynamical systems ⋮ Modeling and analysis of nonholonomic dynamic systems with a class of rheonomous affine constraints

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