In-plane nonlinear vibration of circular dielectric elastomer membranes with extreme stretchability

DOI10.1016/j.euromechsol.2022.104660zbMath1502.74045OpenAlexW4281382132MaRDI QIDQ2168374

Christopher G. Cooley, Robert L. Lowe

Publication date: 31 August 2022

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.2022.104660

zbMATH Keywords

instabilitybifurcationnumerical solutionHamilton principlejump phenomenonpre-stretched circular membrane

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Electromagnetic effects in solid mechanics (74F15) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Membranes (74K15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (2)

Local and global dynamics of a functionally graded dielectric elastomer plate ⋮ Modelling and nonlinear dynamics of dielectric elastomer sandwich cantilever-plate actuators

Cites Work

• Resonant behavior of a membrane of a dielectric elastomer
• Electric field-induced surface transformations and experimental dynamic characteristics of dielectric elastomer membranes
• Nonlinear dynamics of dielectric elastomer balloons based on the Gent-Gent hyperelastic model
• A Nonlinear Model for Dielectric Elastomer Membranes
• On the two-potential constitutive modeling of dielectric elastomers

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