In this paper, amplitude-dependent dispersion relations for flexural and axial waves travelling along a pantographic beam in non-linear deformation regime are computed. The kinetic energy of the pantographic beam, including a gradient micro-inertia contribution, is derived by homogenization. In the limit of travelling waves with infinitesimal amplitude, well-known amplitude-independent wave dispersion relations for linear deformation regime are recovered. Our analysis concludes that exotic wave propagation is observed in pantographic beams and deserves further studies.

Wave dispersion in non-linear pantographic beams / Barchiesi, E.; Laudato, M.; Di Cosmo, F.. - In: MECHANICS RESEARCH COMMUNICATIONS. - ISSN 0093-6413. - 94:(2018), pp. 128-132. [10.1016/j.mechrescom.2018.11.002]

Wave dispersion in non-linear pantographic beams

Barchiesi E.;
2018

Abstract

In this paper, amplitude-dependent dispersion relations for flexural and axial waves travelling along a pantographic beam in non-linear deformation regime are computed. The kinetic energy of the pantographic beam, including a gradient micro-inertia contribution, is derived by homogenization. In the limit of travelling waves with infinitesimal amplitude, well-known amplitude-independent wave dispersion relations for linear deformation regime are recovered. Our analysis concludes that exotic wave propagation is observed in pantographic beams and deserves further studies.
Wave dispersion in non-linear pantographic beams / Barchiesi, E.; Laudato, M.; Di Cosmo, F.. - In: MECHANICS RESEARCH COMMUNICATIONS. - ISSN 0093-6413. - 94:(2018), pp. 128-132. [10.1016/j.mechrescom.2018.11.002]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11388/280591
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 32
  • ???jsp.display-item.citation.isi??? 24
social impact