Nonlinear dynamics of dielectric elastomer balloons based on the Gent-Gent hyperelastic model

DOI10.1016/j.euromechsol.2020.103986zbMath1475.74046OpenAlexW3011749548MaRDI QIDQ2190103

Hamidreza Heidari, Amin Alibakhshi

Publication date: 18 June 2020

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2020.103986

zbMATH Keywords

chaostime integrationbifurcation diagramPoincaré sectionnonlinear vibrationCauchy-Green deformation tensorsecond invariantEuler-Lagrange energy method

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Electromagnetic effects in solid mechanics (74F15) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (7)

In-plane nonlinear vibration of circular dielectric elastomer membranes with extreme stretchability ⋮ Dynamics of pneumatically coupled visco-hyperelastic dielectric elastomer actuators: theoretical modeling and experimental investigation ⋮ On a comprehensive analysis for mechanical problems of spherical structures ⋮ Dynamic modelling of liquid crystal elastomer actuators based on a physics-phenomenon-combined approach ⋮ Nonlinear vibration and stability of a dielectric elastomer balloon based on a strain-stiffening model ⋮ Modelling and nonlinear dynamics of dielectric elastomer sandwich cantilever-plate actuators ⋮ A novel nonlinear elasticity approach for analysis of nonlinear and hyperelastic structures

Cites Work

• Determining Lyapunov exponents from a time series
• Analytical approximation solutions of a dielectric elastomer balloon using the multiple scales method
• Fitting hyperelastic models to experimental data

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