Melnikov's method for chaos of a two-dimensional thin panel in subsonic flow with external excitation

DOI10.1016/j.mechrescom.2011.07.008zbMath1272.74323OpenAlexW1967272979MaRDI QIDQ366788

Yiren Yang, Minglu Zhang, Peng Li

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0093641311001492

zbMATH Keywords

chaossubsonic flowMelnikov's methodexternal excitationtin panel

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Supersonic flows (76J20)

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Cites Work

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• The extended Melnikov method for non-autonomous nonlinear dynamical systems and application to multi-pulse chaotic dynamics of a buckled thin plate
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcations of a thin plate-strip excited transversally and axially
• Arnold tongue predictions of secondary buckling in thin elastic plates
• Global dynamics of a parametrically and externally excited thin plate

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