Nonlinear vibrations of a rectangular hyperelastic membrane resting on a nonlinear elastic foundation

DOI10.1007/S11012-017-0755-5zbMath1457.74085OpenAlexW2754593107MaRDI QIDQ1794017

Renata M. Soares, Paulo Batista Gonçalves

Publication date: 15 October 2018

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-017-0755-5

zbMATH Keywords

Galerkin methodWinkler foundationdynamic instabilityfinite deformationrectangular membrane

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Membranes (74K15)

Related Items (6)

A variational differential quadrature solution to finite deformation problems of hyperelastic shell-type structures: a two-point formulation in Cartesian coordinates ⋮ Nonlinear dynamics of fractional viscoelastic PET membranes with linearly varying density ⋮ Investigating nonlinear vibrations of higher-order hyper-elastic beams using the Hamiltonian method ⋮ Nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading in the subcritical buckling regime ⋮ Nonlinear breathing motions and instabilities of a pressure-loaded spherical hyperelastic membrane ⋮ Elastic and viscoelastic foundations: a review on linear and nonlinear vibration modeling and applications

Uses Software

• ABAQUS

Cites Work

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• Oscillatory behaviour of compressible hyperelastic shells subjected to dynamic inflation: a numerical study
• Deflections of a rubber membrane
• On the formal development of elastic foundation models
• The mechanics of rubber elasticity
• Nonlinear vibration analysis of a membrane based on large deflection theory

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