Nonlinear forced vibration of a viscoelastic buckled beam with 2 : 1 internal resonance

DOI10.1155/2014/906324zbMath1407.74023OpenAlexW2048941276WikidataQ59070595 ScholiaQ59070595MaRDI QIDQ1719348

Hu Ding, Liu-Yang Xiong, Guo-Ce Zhang, Li Qun Chen

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/906324

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60) Dynamical systems in solid mechanics (37N15) Linear constitutive equations for materials with memory (74D05)

Related Items (5)

Subharmonic resonance of a clamped-clamped buckled beam with 1:1 internal resonance under base harmonic excitations ⋮ Supercritical nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading ⋮ Investigation of quasi-periodic response of a buckled beam under harmonic base excitation with an ``unexplained sideband structure ⋮ Electrostatic nonlinear bending, buckling and free vibrations of viscoelastic microbeams based on the modified couple stress theory ⋮ Two-to-one internal resonance of an inclined marine riser under harmonic excitations

Cites Work

• Unnamed Item
• Experimental validation of reduction methods for nonlinear vibrations of distributed-parameter systems: Analysis of a buckled beam
• Nonlinear normal modes of buckled beams: Three-to-one and one-to-one internal resonances
• Three-to-one internal resonances in hinged-clamped beams
• On the nonlinear dynamics of a buckled beam subjected to a primary-resonance excitation
• Three-to-one internal resonances in parametrically excited hinged-clamped beams
• Chaotic motions and fractal basin boundaries in spring-pendulum system
• Modal Interactions in Dynamical and Structural Systems
• Vibration Damping, Control, and Design
• Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation

This page was built for publication: Nonlinear forced vibration of a viscoelastic buckled beam with 2 : 1 internal resonance