Analyticity and dynamic behavior of a damped three-layer sandwich beam

J. M. Wang; B. Z. Guo

doi:10.1007/s10957-007-9341-7

Analyticity and dynamic behavior of a damped three-layer sandwich beam

J. M. Wang, B. Z. Guo

School of Mathematics and Statistics

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

18 Citations (Scopus)

Abstract

Using the Riesz basis approach, we study a sandwich beam that is composed of an outer stiff layer and a compliant middle layer. The dynamic behavior and analyticity of the system are obtained based on a detailed spectral analysis and Riesz basis generation. As a consequence, the analyticity of the solution and the exponential stability of the system are concluded.

Original language	English
Pages (from-to)	675-689
Number of pages	15
Journal	Journal of Optimization Theory and Applications
Volume	137
Issue number	3
DOIs	https://doi.org/10.1007/s10957-007-9341-7
Publication status	Published - Jun 2008

Keywords

Analytic semigroups
Dynamic behavior
Exponential stability
Riesz bases
Sandwich beams

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10.1007/s10957-007-9341-7

Cite this

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abstract = "Using the Riesz basis approach, we study a sandwich beam that is composed of an outer stiff layer and a compliant middle layer. The dynamic behavior and analyticity of the system are obtained based on a detailed spectral analysis and Riesz basis generation. As a consequence, the analyticity of the solution and the exponential stability of the system are concluded.",

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AB - Using the Riesz basis approach, we study a sandwich beam that is composed of an outer stiff layer and a compliant middle layer. The dynamic behavior and analyticity of the system are obtained based on a detailed spectral analysis and Riesz basis generation. As a consequence, the analyticity of the solution and the exponential stability of the system are concluded.

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KW - Dynamic behavior

KW - Exponential stability

KW - Riesz bases

KW - Sandwich beams

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Analyticity and dynamic behavior of a damped three-layer sandwich beam

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Keywords

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