Dispersion and localisation in structured Rayleigh beams

作者：Piccolroaz A^*; Movchan A B

来源：International Journal of Solids and Structures, 2014, 51(25-26): 4452-4461.

DOI：10.1016/j.ijsolstr.2014.09.016

• Rayleigh beam
• Rotational inertia
• Dispersive waves
• Localised wave forms
• Quasi-periodic Green%26apos
• s functions

This paper brings a comparative analysis between dynamic models of couple-stress elastic materials and structured Rayleigh beams on a Winkler foundation. Although physical phenomena have different physical origins, the underlying equations appear to be similar, and hence mathematical models have a lot in common. In the present work, our main focus is on the analysis of dispersive waves, band-gaps and localised waveforms in structured Rayleigh beams. The Rayleigh beam theory includes the effects of rotational inertia which are neglected in the Euler Bernoulli beam theory. This makes the approach applicable to higher frequency regimes. Special attention is given to waves in pre-stressed Rayleigh beams on elastic foundations.

• 出版日期2014-12