Primary and secondary resonance responses of fractional viscoelastic PET membranes
type: Item
instance of: scholarly article
title: Primary and secondary resonance responses of fractional viscoelastic PET membranes
zbMATH Open document ID: 1502.74048
author: Jiajuan Qing
author: Shisheng Zhou
author: Jimei Wu
author: Mingyue Shao
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2022-10-28T00:00:00Z
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74D05
Mathematics Subject Classification ID: 74S40
zbMATH DE Number: 7609338
zbMATH Keywords: fractional Kelvin-Voigt model
zbMATH Keywords: von Karman membrane
zbMATH Keywords: nonlinear vibration
zbMATH Keywords: multiple-scale method
zbMATH Keywords: Galerkin method
zbMATH Keywords: amplitude-frequency curve
zbMATH Keywords: force-amplitude curve
MaRDI profile type: Publication
full work available at URL: j.cnsns.2022.106810
OpenAlex ID: W4293215206
cites work: Theory of gradient-elastic membranes and its application in the wrinkling analysis of stretched thin sheets
cites work: Analysis of inhomogeneous anisotropic viscoelastic bodies described by multi-parameter fractional differential constitutive models
cites work: Kelvin-Voigt versus fractional derivative model as constitutive relations for viscoelastic materials
cites work: Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load
cites work: Mathematical modeling and parametric investigation of blood flow through a stenosis artery
cites work: The fractional derivative expansion method in nonlinear dynamic analysis of structures
cites work: Fractional calculus approach for the phase dynamics of Josephson junction
cites work: Numerical computations of fractional nonlinear Hartmann flow with revised heat flux model
cites work: Electrified fractional nanofluid flow with suspended carbon nanotubes
cites work: Simulations of a fractional rate type nanofluid flow with non-integer Caputo time derivatives
cites work: Classical Vibration Analysis of Axially Moving Continua
cites work: Nonlinear vibration analysis of fractional viscoelastic cylindrical shells
cites work: Transient responses of an axially accelerating viscoelastic string constituted by a fractional differentiation law
cites work: Fractional viscoelastic beam under torsion
cites work: Stability in parametric resonance of an axially moving beam constituted by fractional order material
cites work: Analytical analysis on nonlinear parametric vibration of an axially moving string with fractional viscoelastic damping
cites work: Nonlinear vibration of fractional Kelvin-Voigt viscoelastic beam on nonlinear elastic foundation
cites work: Kinetic wrinkling of an elastic film on a viscoelastic substrate
cites work: Kelvin-Voigt versus Bürgers internal damping in modeling of axially moving viscoelastic web
cites work: The BEM for numerical solution of partial fractional differential equations
cites work: A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
cites work: Applications in Engineering, Life and Social Sciences, Part B
DOI: 10.1016/J.CNSNS.2022.106810
description: scientific article; zbMATH DE number 7609338