Dynamical behavior of nonlinear viscoelastic beams

DOI10.1007/BF02459308zbMath0999.74056OpenAlexW2062546773MaRDI QIDQ1841448

Li Qun Chen, Chang-Jun Cheng

Publication date: 2 December 2002

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

Full work available at URL: https://doi.org/10.1007/bf02459308

zbMATH Keywords

Galerkin methodtruncationordinary differential equationintegro-partial differential equationhomogeneous viscoelastic beamsLeaderman nonlinear constitutive relationsimply supported ends

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (6)

A numerical method for fractional integral with applications ⋮ Quasi-static analysis for viscoelastic Timoshenko beams with damage ⋮ Nonlinear dynamic behaviors of viscoelastic shallow arches ⋮ Quasi-static and dynamical analyses of a thermoviscoelastic Timoshenko beam using the differential quadrature method ⋮ Dynamical behavior of nonlinear viscoelastic Timoshenko beams with damage on a viscoelastic foundation ⋮ Quasi-static and dynamical analysis for viscoelastic Timoshenko beam with fractional derivative constitutive relation

Cites Work

• The investigation of the stability of elastic and viscoelastic rods under a stochastic excitation
• Periodic and chaotic behavior of viscoelastic nonlinear (elastica) bars under harmonic excitations
• A comparison of single-integral non-linear viscoelasticity theories
• A magnetoelastic strange attractor
• Chaotic Vibrations of Beams: Numerical Solution of Partial Differential Equations

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