Nonlinear Dynamics of a Rigid Block on a Rigid Base

DOI10.1115/1.2787209zbMath0887.70008OpenAlexW2044295779MaRDI QIDQ4339690

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Publication date: 25 May 1998

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.2787209

zbMATH Keywords

method of averagingstability boundaryMelnikov functions1-period symmetric orbitshomoclinic intersections of stable and unstable manifoldsperturbed separatrixprismatic rectangular blockthree-dimensional separatrixvertical forcing

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Free motion of a rigid body (70E15) Stability theory for smooth dynamical systems (37C75)

Related Items (4)

HETEROCLINIC BIFURCATIONS AND OPTIMAL CONTROL IN THE NONLINEAR ROCKING DYNAMICS OF GENERIC AND SLENDER RIGID BLOCKS ⋮ LYAPUNOV'S EXPONENTS FOR NONSMOOTH DYNAMICS WITH IMPACTS: STABILITY ANALYSIS OF THE ROCKING BLOCK ⋮ Damping in rigid block dynamics contained between side-walls ⋮ A dynamical systems approach to the overturning of rocking blocks

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