Nonlinear oscillations in a thin ring. I. Three-wave resonant interactions

DOI10.1007/BF01172807zbMath0908.73041MaRDI QIDQ1384824

A. I. Potapov, Dmitry Anatolyevich Kovriguine

Publication date: 22 March 1999

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

stress amplificationplanar waveshigh-frequency azimuthal waveperiod of energy exchangesecondary low-frequency wavesstress growth constant

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (3)

Approximate modeling of wave processes in elastoplastic solids ⋮ The effect of a weak nonlinearity on the lowest cut-off frequencies of a cylindrical shell ⋮ Geometrical nonlinearity stabilizes a wave solid-state gyro

Cites Work

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• Nonlinear vibrations of a thin ring
• Dynamic Stability of Transverse Axisymmetric Waves in Circular Cylindrical Shells
• The Elastic Cylindrical Shell Under Nearly Uniform Radial Impulse
• On transverse vibrations of thin, shallow elastic shells

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