Stability and chaotic motion in columns of nonlinear viscoelastic material

DOI10.1007/BF02459307zbMath1007.74051OpenAlexW2090840763MaRDI QIDQ1841447

Chang-Jun Cheng, Li Qun Chen

Publication date: 27 March 2003

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459307

zbMATH Keywords

Galerkin methodchaotic motionviscoelastic materialaveraging methoddynamical stabilitynonlinear integro-ordinary differential equationnonlinear integro-partial differential equationLeaderman nonlinear constitutive relationhomogeneous simple supported columnperiodic axial force

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (2)

Numerical analysis of variable fractional viscoelastic column based on two-dimensional Legendre wavelets algorithm ⋮ Nonlinear dynamic behaviors of viscoelastic shallow arches

Cites Work

• The stability of viscoelastic perfect columns: A dynamic approach
• Dynamic stability of nonlinear viscoelastic plates
• Elastica type dynamic stability analysis of viscoelastic columns
• Influence of large deflections on the dynamic stability of nonlinear viscoelastic plates
• Periodic and chaotic behavior of viscoelastic nonlinear (elastica) bars under harmonic excitations
• A comparison of single-integral non-linear viscoelasticity theories
• Stability Properties of a Viscoelastic Column Under a Periodic Force
• Averaging methods in nonlinear dynamical systems

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