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.
Stability of non-trivial equilibrium paths of beams on partial visco-elastic foundation / Lofrano, Egidio; Paolone, Achille; Ruta, Giuseppe. - In: ACTA MECHANICA. - ISSN 0001-5970. - STAMPA. - 223:(2012), pp. 2183-2195. [10.1007/s00707-012-0699-8]
Stability of non-trivial equilibrium paths of beams on partial visco-elastic foundation
LOFRANO, EGIDIO;PAOLONE, ACHILLE;RUTA, Giuseppe
2012
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.