Finite-Amplitude, Shockless, Resonant Vibrations of an Inhomogeneous Elastic Panel

DOI10.1177/1081286505036411zbMath1074.74031OpenAlexW2086671157MaRDI QIDQ5695005

Michael P. Mortell, Brian R. Seymour

Publication date: 11 October 2005

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286505036411

zbMATH Keywords

geometrical acoustics approximationfinite-strength inhomogeneity

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45)

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Cites Work

• Nonlinear elastic surface gravity waves: Continuous and discontinuous solutions
• The calculation of resonance separatrices for the near-integrable case of the standard mapping
• An analytic method for strong motion studies in layered media
• Resonant wave motion in a non-homogeneous system
• Standing waves in an open pipe: A nonlinear initial-boundary value problem
• Nonlinear forced oscillations in a closed tube: continuous solutions of a functional equation
• A finite-rate theory of resonance in a closed tube: discontinuous solutions of a functional equation
• Nonlinear resonant oscillations in open tubes
• A Method for Obtaining Exact Solutions to Partial Differential Equations with Variable Coefficients
• Resonant acoustic oscillations with damping: small rate theory
• Resonant oscillations in closed tubes
• Finite amplitude waves in bounded media: nonlinear free vibrations of an elastic panel
• Pulse Propagation in a Nonlinear Viscoelastic Rod of Finite Length