Autoparametric interaction of a liquid surface in a rectangular tank with an elastic support structure under 1:1 internal resonance

DOI10.1007/s11071-009-9606-9zbMath1189.74039OpenAlexW1977060308MaRDI QIDQ979406

Takashi Ikeda

Publication date: 28 June 2010

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-009-9606-9

zbMATH Keywords

Hopf bifurcationwavebifurcation set1:1 internal resonancesloshingelastic supportautoparametric interactionfrequency response curverectangular liquid tankvertical excitation

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (1)

Application of the DAE approach to the nonlinear sloshing problem

Uses Software

• AUTO
• HomCont

Cites Work

• Nonlinear dynamics of a shallow arch under periodic excitation. II: 1:1 internal resonance
• Nonlinear parametric vibrations of an elastic structure with a rectangular liquid tank
• Forced Nonlinear Oscillations of an Autoparametric System—Part 2: Chaotic Responses
• Secondary bifurcation and change of type for three-dimensional standing waves in finite depth
• Symmetry-breaking bifurcations in resonant surface waves
• Autoparametric resonance in a structure containing a liquid, Part I: Two mode interaction
• Faraday's instability in viscous fluid
• Nonlinear Faraday resonance in a box with a square base
• Liquid Sloshing Dynamics
• The stability of the plane free surface of a liquid in vertical periodic motion

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