Bifurcation behavior of steady vibrations of cantilever plates with geometrical nonlinearities interacting with three-dimensional inviscid potential flow

DOI10.1177/1077546314534716zbMath1365.74064OpenAlexW1986947712MaRDI QIDQ5270785

K. V. Avramov

Publication date: 3 July 2017

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546314534716

zbMATH Keywords

singular integral equationsgeometric nonlinearityshooting techniqueNaimark-Sacker bifurcationaerodynamic derivativesalmost periodic motions

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60) Bifurcation control of ordinary differential equations (34H20)

Related Items (3)

Dynamic instability of parabolic shells in supersonic gas stream ⋮ Periodic, quasi-periodic, and chaotic geometrically nonlinear forced vibrations of a shallow cantilever shell ⋮ Numerical analysis of nonlinear modes of piecewise linear systems torsional vibrations

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