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Viscous Damping, Plasticity and Buckling on Large Amplitude Vibrations of Beams

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Part of the book series: IUTAM Bookseries (closed) ((IUTAMBOOK,volume 32))

Abstract

Curious dynamic behaviour that beams may experience is discussed in this article. In the model of the beams a simple type of viscous damping, an elasto-plastic stress–strain relation and Von Kármán type of non-linearity are assumed. The continuum system is discretized following a finite element, p-version approach, and the equations of motion are numerically solved in the time domain. The analyses focuses on the qualitative differences that appear in the oscillations of damped beams when plasticity is present and on a buckling like phenomenon that plasticity may induce, leading to a dynamic behaviour difficult to anticipate.

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Correspondence to Pedro Ribeiro .

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Ribeiro, P. (2013). Viscous Damping, Plasticity and Buckling on Large Amplitude Vibrations of Beams. In: Wiercigroch, M., Rega, G. (eds) IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design. IUTAM Bookseries (closed), vol 32. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5742-4_8

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  • DOI: https://doi.org/10.1007/978-94-007-5742-4_8

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-5741-7

  • Online ISBN: 978-94-007-5742-4

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