Exponential decay of serially connected elastic wave



Document title: Exponential decay of serially connected elastic wave
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000395545
ISSN: 0037-8712
Authors: 1
1
Institutions: 1Universidade Estadual de Londrina, Departamento de Matematica, Londrina, Parana. Brasil
Year:
Volumen: 28
Number: 1
Pages: 9–27-9–27
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract In this work we study a flexible structures which is formed by three serially connected elastic waves, more specifically on structure whose material consist of three different types of components where one is purely elastic component and two dissipative elastic. We show that for this types of materials the dissipation produced by the dissipative elastic part is strong enough to produce exponential decay of the solution, no matter how small is its size. We also show that the linear model is well posed
Disciplines: Matemáticas,
Física y astronomía
Keyword: Matemáticas aplicadas,
Mecánica, elasticidad y reología,
Ecuaciones diferenciales,
Ecuaciones diferenciales parciales,
Ondas,
Decaimiento exponencial,
Propagación de ondas,
Ondas elásticas,
Termoelasticidad,
Ecuación de onda
Keyword: Mathematics,
Physics and astronomy,
Applied mathematics,
Mechanics, elasticity and rheology,
Differential equations,
Partial differential equations,
Waves,
Exponential decay,
Wave propagation,
Elastic waves,
Transmission problem,
Thermoelasticity,
Wave equation
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