Hybrid laminated Timoshenko beam

C. A. Raposo; O. V. Villagŕan; J. E. Muñoz Rivera; M. S. Alves

doi:10.1063/1.4998945

Hybrid laminated Timoshenko beam

C. A. Raposo
, O. V. Villagŕan
, J. E. Muñoz Rivera
, M. S. Alves

Universidade Federal da Bahia
Universidad del Bío-Bío
Universidade Federal do Rio de Janeiro
Universidade Federal de Viçosa

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

We consider the hybrid laminated Timoshenko beam model. This structure is given by two identical layers uniform on top of each other, taking into account that an adhesive of small thickness is bonding the two surfaces and produces an interfacial slip. We suppose that the beam is fastened securely on the left while on the right it's free and has an attached container. Using the semigroup approach and a result of Borichev and Tomilov, we prove that the solution is polynomially stable. Published by AIP Publishing.

Original language	English
Article number	101512
Journal	Journal of Mathematical Physics
Volume	58
Issue number	10
DOIs	https://doi.org/10.1063/1.4998945
State	Published - 1 Oct 2017
Externally published	Yes

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10.1063/1.4998945

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abstract = "We consider the hybrid laminated Timoshenko beam model. This structure is given by two identical layers uniform on top of each other, taking into account that an adhesive of small thickness is bonding the two surfaces and produces an interfacial slip. We suppose that the beam is fastened securely on the left while on the right it's free and has an attached container. Using the semigroup approach and a result of Borichev and Tomilov, we prove that the solution is polynomially stable. Published by AIP Publishing.",

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AU - Alves, M. S.

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N2 - We consider the hybrid laminated Timoshenko beam model. This structure is given by two identical layers uniform on top of each other, taking into account that an adhesive of small thickness is bonding the two surfaces and produces an interfacial slip. We suppose that the beam is fastened securely on the left while on the right it's free and has an attached container. Using the semigroup approach and a result of Borichev and Tomilov, we prove that the solution is polynomially stable. Published by AIP Publishing.

AB - We consider the hybrid laminated Timoshenko beam model. This structure is given by two identical layers uniform on top of each other, taking into account that an adhesive of small thickness is bonding the two surfaces and produces an interfacial slip. We suppose that the beam is fastened securely on the left while on the right it's free and has an attached container. Using the semigroup approach and a result of Borichev and Tomilov, we prove that the solution is polynomially stable. Published by AIP Publishing.

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Hybrid laminated Timoshenko beam

Abstract

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