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

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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.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Strutturale e Geotecnica, “Sapienza” University, Rome, Italy

    Egidio Lofrano, Achille Paolone & Giuseppe Ruta

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  1. Egidio Lofrano
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  2. Achille Paolone
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  3. Giuseppe Ruta
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Correspondence to Giuseppe Ruta.

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Lofrano, E., Paolone, A. & Ruta, G. Stability of non-trivial equilibrium paths of beams on a partially visco-elastic foundation. Acta Mech 223, 2183–2195 (2012). https://doi.org/10.1007/s00707-012-0699-8

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  • DOI: https://doi.org/10.1007/s00707-012-0699-8

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