Delay effects in shimmy dynamics of wheels with stretched string-like tyres

DOI10.1016/j.euromechsol.2008.11.007zbMath1158.74386OpenAlexW2025434683MaRDI QIDQ1012268

Gábor Orosz, Dénes Takács, Gabor Stepan

Publication date: 15 April 2009

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2008.11.007

zbMATH Keywords

delayHopf bifurcationshimmytravelling wave solutionrelaxation length

Mathematics Subject Classification ID

Experimental work for problems pertaining to mechanics of deformable solids (74-05) Stability of dynamical problems in solid mechanics (74H55)

Related Items (11)

Contact patch memory of tyres leading to lateral vibrations of four-wheeled vehicles ⋮ Numerical continuation and bifurcation analysis in aircraft design: an industrial perspective ⋮ Stability of delay integro-differential equations using a spectral element method ⋮ Analytical results in transient brush tyre models: theory for large camber angles and classic solutions with limited friction ⋮ Racing bicycle tyres -- influence on mechanical characteristics of internal pressure, vertical force, speed and temperature ⋮ Control barrier functionals: Safety‐critical control for time delay systems ⋮ Discussion on: ``State feedback fuzzy adaptive control for active shimmy damping ⋮ Inter-layer synchronization of periodic solutions in two coupled rings with time delay ⋮ The Ishlinskii oscillator model in the Keldysh shimmy problem ⋮ Theoretical and experimental study on the nonlinear dynamics of wheel-shimmy ⋮ Nonoscillation of higher order mixed differential equations with distributed delays

Uses Software

• DDE-BIFTOOL

Cites Work

• Isolated large amplitude periodic motions of towed rigid wheels
• Advances in the modelling of motorcycle dynamics
• Hopf bifurcation calculations in delayed systems with translational symmetry
• Computational dynamics: theory and applications of multibody systems
• Dynamics of a rolling disk in the presence of dry friction
• Classical Vibration Analysis of Axially Moving Continua
• Continuation of Bifurcations in Periodic Delay‐Differential Equations Using Characteristic Matrices
• Systems of conservation laws
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