Nonlinear hysteretic damping effects on the post-critical behaviour of the visco-elastic Beck’s beam

DOI10.1177/1081286516632381zbMath1371.74134OpenAlexW2329319664MaRDI QIDQ5358971

Angelo Luongo, Francesco D'Annibale

Publication date: 22 September 2017

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286516632381

zbMATH Keywords

Hopf bifurcationfollower forceslimit-cycle analysisnonlinear Beck's beamnonlinear hysteretic damping

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Linear constitutive equations for materials with memory (74D05) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (6)

On the effect of damping on the stabilization of mechanical systems via parametric excitation ⋮ Nonlinear dynamics of uniformly loaded Elastica: Experimental and numerical evidence of motion around curled stable equilibrium configurations ⋮ Invariant subspace reduction for linear dynamic analysis of finite-dimensional viscoelastic structures ⋮ A discrete formulation of Kirchhoff rods in large-motion dynamics ⋮ The Effect of Mechanical Load-induced Intraosseous Pressure Gradients on Bone Remodeling ⋮ Modeling the linear dynamics of continuous viscoelastic systems on their infinite-dimensional central subspace

This page was built for publication: Nonlinear hysteretic damping effects on the post-critical behaviour of the visco-elastic Beck’s beam