Publicação
Uniform stabilization for the transmission problem of the Timoshenko system with memory
| Resumo: | In this paper we study the transmission for a partially viscoelastic beam, that is, a beam which is composed of two components, elastic and viscoelastic. In the rotation angle of the filaments of the beam, ψ1(x,t) and ψ2(x,t), the dissipation is occasioned by the memory effect. In the transverse vibrations ϕ1(x,t) and ϕ2(x,t) we do not have dissipation and the system is purely elastic. For this type of beam we show the uniform stabilization, i.e., the rate of decay has directly relation with the velocity of the relaxation function. |
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| Autores principais: | Alves, Margareth S. |
| Outros Autores: | Raposo, Carlos Alberto; Rivera, Jaime E. Muñoz; Sepúlveda, Mauricio A.; Villagrán, Octavio Paulo Vera |
| Assunto: | Transmission problem Exponential decay Polynomial decay Partially viscoelastic beam |
| Ano: | 2018 |
| País: | Brasil |
| Tipo de documento: | artigo |
| Tipo de acesso: | unknown |
| Instituição associada: | IBICT |
| Idioma: | inglês |
| Origem: | Oasisbr |
| Resumo: | In this paper we study the transmission for a partially viscoelastic beam, that is, a beam which is composed of two components, elastic and viscoelastic. In the rotation angle of the filaments of the beam, ψ1(x,t) and ψ2(x,t), the dissipation is occasioned by the memory effect. In the transverse vibrations ϕ1(x,t) and ϕ2(x,t) we do not have dissipation and the system is purely elastic. For this type of beam we show the uniform stabilization, i.e., the rate of decay has directly relation with the velocity of the relaxation function. |
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