Open Access
november 2015 The impact of nonlinear restoring forces acting on hinged elastic beams
Filippo Gazzola, Raffaella Pavani
Bull. Belg. Math. Soc. Simon Stevin 22(4): 559-578 (november 2015). DOI: 10.36045/bbms/1447856059

Abstract

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.

Citation

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Filippo Gazzola. Raffaella Pavani. "The impact of nonlinear restoring forces acting on hinged elastic beams." Bull. Belg. Math. Soc. Simon Stevin 22 (4) 559 - 578, november 2015. https://doi.org/10.36045/bbms/1447856059

Information

Published: november 2015
First available in Project Euclid: 18 November 2015

zbMATH: 1333.34075
MathSciNet: MR3429171
Digital Object Identifier: 10.36045/bbms/1447856059

Subjects:
Primary: 34B15 , 34C10 , 65L10 , 74B20

Keywords: hinged beam , nonlinear elasticity

Rights: Copyright © 2015 The Belgian Mathematical Society

Vol.22 • No. 4 • november 2015
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