Bulletin of the Belgian Mathematical Society - Simon Stevin

The impact of nonlinear restoring forces acting on hinged elastic beams

Filippo Gazzola and Raffaella Pavani

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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.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 22, Number 4 (2015), 559-578.

Dates
First available in Project Euclid: 18 November 2015

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1447856059

Digital Object Identifier
doi:10.36045/bbms/1447856059

Mathematical Reviews number (MathSciNet)
MR3429171

Zentralblatt MATH identifier
1333.34075

Subjects
Primary: 34B15: Nonlinear boundary value problems 65L10: Boundary value problems 74B20: Nonlinear elasticity 34C10: Oscillation theory, zeros, disconjugacy and comparison theory

Keywords
hinged beam nonlinear elasticity

Citation

Gazzola, Filippo; Pavani, Raffaella. The impact of nonlinear restoring forces acting on hinged elastic beams. Bull. Belg. Math. Soc. Simon Stevin 22 (2015), no. 4, 559--578. doi:10.36045/bbms/1447856059. https://projecteuclid.org/euclid.bbms/1447856059


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