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Beam on viscoelastic foundation: an extension of Winkler’s model
Archive of Applied Mechanics, 2009Models in the field of Applied Mechanics originate less from thought experiments but rather from technical problems. So does the so-called Winkler model: elastic beam on deformable foundation. It stems from the then (1870) High Technology the railway system.
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A general solution to vibrations of beams on variable winkler elastic foundation
Computers & Structures, 1993A general solution to vibrations of beams on a variable Winkler elastic foundation is presented. The solution to the dynamic response of the beam is obtained by considering the reaction force of the foundation as the external force acting on the beam. This is described by an integral equation that includes the displacement of the beam.
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NON-LINEAR VIBRATIONS OF A BEAM RESTING ON A TENSIONLESS WINKLER FOUNDATION
Journal of Sound and Vibration, 2000The forced vibrations of an elastic beam resting on a non-linear tensionless Winkler foundation subjected to a concentrated dynamic load at its centre are described in this paper. The problem is a non-linear one because of the tensionless character of the foundation and the non-linear term in the foundation model.
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