Dynamical behavior of nonlinear viscoelastic Timoshenko beams with damage on a viscoelastic foundation

DOI10.1007/s11741-004-0059-6zbMath1168.74370OpenAlexW2035091027MaRDI QIDQ5484269

Yan Zhang, Dongfa Sheng, Chang-Jun Cheng

Publication date: 17 August 2006

Published in: Journal of Shanghai University (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11741-004-0059-6

zbMATH Keywords

chaosbifurcationlarge deflectionTimoshenko beamsviscoelastic solid with damage

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Fracture and damage (74R99) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60) Numerical nonlinear stabilities in dynamical systems (65P40) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Nonlinear modes (70K75)

Cites Work

• Linear elastic materials with voids
• Controlling chaotic oscillations of viscoelastic plates by the linearization via output feedback
• Quasi-static and dynamical analysis for viscoelastic Timoshenko beam with fractional derivative constitutive relation
• Dynamical behavior of nonlinear viscoelastic beams
• Periodic and chaotic behavior of viscoelastic nonlinear (elastica) bars under harmonic excitations
• Generalized variational principles of the viscoelastic body with voids and their applications
• Extensions of derivations II.
• Chaotic Vibrations of Beams: Numerical Solution of Partial Differential Equations
• Dynamical stability of viscoelastic column with fractional derivative constitutive relation

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