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.;
2018-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
