Generalização da teoria binária para cadeias granulares decoradas por múltiplos grãos

• Autor(a) principal: Bragança, Eduardo André de Figueiredo
• Data de Publicação: 2013
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UFPB
• Texto Completo: https://repositorio.ufpb.br/jspui/handle/tede/5729
• topic: Cadeias granulares; Propagação do pulso; Teoria binária; Cadeia efetiva; Granular decorated chains; Pulse propagation; Binary theory; CIENCIAS EXATAS E DA TERRA::FISICA

Granular decorated chains can be used for the development of impact-absorbing devices. Thus, one of the features of those systems is that they can be used as shock absorbers and impact protectors. We study here the pulse propagation in a decorated granular chain, composed of spherical grains, which initially are just touching each other, making use of an effective description, where the original chain was replaced by a decorated chain with effective masses where the grains interact via an effective potential. Our goal was to generalize the results obtained in a previous work, by analizing a decorated chain with an arbitrary number of small grains between the large ones, and thus, presenting an analytical approach that describes the effective masses and the effective interaction between the granules as a function of the quantity small grains between the large ones. In this system the grains interact with each other via the Hertz potential. We presented the comparation between of the numerical and analytical results for the profiles velocity of the large granules in the original chain with the grains of the effective chain, the pulse propagation time, and the frequency of oscillation of the smaller grains in the original chain. We also highlight the use of Binary Theory, which was been widely appllied to describe analitically the properties of the propagating pulse in granular chains.