The impact of nonlinear restoring forces acting on hinged elastic beams

We consider a hinged elastic beam subject to a nonlinear restoring force. We show that the equilibrium position of the beam under the action of a vertical load displays an oscillating profile. We compare the nonlinear model with the linear model and we study the dependence of the solution with respe...

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Bibliographic Details
Published in:Bulletin of the Belgian Mathematical Society, Simon Stevin Simon Stevin, 2015, Vol.22 (4), p.559-578
Main Authors: Gazzola, Filippo, Pavani, Raffaella
Format: Article
Language:English
Subjects:
34B15
34C10
65L10
74B20
hinged beam
nonlinear elasticity
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Description
Summary:We consider a hinged elastic beam subject to a nonlinear restoring force. We show that the equilibrium position of the beam under the action of a vertical load displays an oscillating profile. We compare the nonlinear model with the linear model and we study the dependence of the solution with respect to the physical parameters involved.
ISSN:1370-1444
2034-1970
DOI:10.36045/bbms/1447856059