Stability of non-trivial equilibrium paths of beams on a partially visco-elastic foundation

We consider a cantilever beam partially resting on a linear visco-elastic foundation of generalized Winkler type. The length and placement of the partial foundation are variable. The beam is subjected to a sub-tangential force at its unconstrained end. The stability of some of its non-trivial equili...

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Bibliographic Details
Published in:Acta mechanica 2012-10, Vol.223 (10), p.2183-2195
Main Authors: Lofrano, Egidio, Paolone, Achille, Ruta, Giuseppe
Format: Article
Language:English
Subjects:
Beamforming
Boundaries
Cantilever beams
Classical and Continuum Physics
Control
Dynamical Systems
Engineering
Engineering Thermodynamics
Foundations
Heat and Mass Transfer
Instability
Mathematical analysis
Solid Mechanics
Stability
Systems stability
Theoretical and Applied Mechanics
Vibration
Viscoelasticity
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Summary:We consider a cantilever beam partially resting on a linear visco-elastic foundation of generalized Winkler type. The length and placement of the partial foundation are variable. The beam is subjected to a sub-tangential force at its unconstrained end. The stability of some of its non-trivial equilibrium configurations is investigated by a numerical procedure based on a finite differences technique. The critical boundaries of buckling and flutter are found; it turns out that the critical conditions for both static and dynamic instability depend on some physical parameters, and interactions between the boundaries of the domains of stability appear.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-012-0699-8