 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| Xinxin Cao, Wenjun Liu, Yanning An, and Li Zhang, "Polynomial Stability of the Laminated Beam with One Discontinuous Local Internal Fractional Damping," Mech. Solids. 57 (6), 1424-1447 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
6 |
Pages |
1424-1447 |
| DOI |
10.3103/S0025654422060024 |
| Title |
Polynomial Stability of the Laminated Beam with One Discontinuous Local Internal Fractional Damping |
| Author(s) |
Xinxin Cao (School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044 China)
Wenjun Liu (School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044 China; Center for Applied Mathematics of Jiangsu Province, Nanjing University of Information Science and Technology, Nanjing, 210044 China; Jiangsu International Joint Laboratory on System Modeling and Data Analysis, Nanjing University of Information Science and Technology, Nanjing, 210044 China, wjliu@nuist.edu.cn)
Yanning An (School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044 China)
Li Zhang (School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044 China) |
| Abstract |
In this paper, we are concerned with the stabilization of a laminated beam with one discontinuous local internal fractional damping. We reformulate the system into an augmented model and prove the well-posedness of it by using semigroup method. Based on a general criteria of Arendt-Batty, we show that the system is strongly stable. By combining frequency domain method and multiplier techniques, we establish a polynomial energy decay rate of type t−2/(1−α) for the case of equal wave speeds, and obtain a polynomial decay rate of type t−2/(5−α) when the wave speeds are different. |
| Keywords |
laminated beam, polynomial stability, local internal fractional damping, frequency domain method |
| Received |
11 April 2022 | Revised |
18 August 2022 | Accepted |
19 August 2022 |
| Link to Fulltext |
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