Analysis of critical and post-critical behaviour of non-linear dynamical systems by the normal form method, Part II: Divergence and flutter

DOI10.1016/0022-460X(83)90388-7zbMath0522.73039OpenAlexW2014292145MaRDI QIDQ3673225

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Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-460x(83)90388-7

zbMATH Keywords

reduced systemHopf bifurcationnonlinear dynamical systemsnormal form methodnormalizing transformationcomputer routinefollower force loadingpost-critical behaviouramplitude and frequency of post-flutter oscillationsanalysis of systems near two basic bifurcation conditionshigh degeneracieslocal equilibrium paths associated with divergence bifurcationmechanical model problem with two degrees of freedomplane double pendulumstability of bifurcating singular pointten and thirteen dimensional systemsvisco-elastic hinges

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability of dynamical problems in solid mechanics (74H55) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

Applying the method of normal forms to second-order nonlinear vibration problems ⋮ The invariant manifold approach applied to nonlinear dynamics of a rotor-bearing system ⋮ Methods to reduce nonlinear mechanical systems for instability computation

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