Bulletin of the Belgian Mathematical Society - Simon Stevin

The impact of nonlinear restoring forces acting on hinged elastic beams

Filippo Gazzola and Raffaella Pavani

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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

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

First available in Project Euclid: 18 November 2015

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

hinged beam nonlinear elasticity


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

Export citation