Study of the Stability Properties for a General Shape of Damped Euler–Bernoulli Beams under Linear Boundary Conditions
We study in this paper a general shape of damped Euler–Bernoulli beams with variable coefficients. Our main goal is to generalize several works already done on damped Euler–Bernoulli beams. We start by studying the spectral properties of a particular case of the system, and then we determine asympto...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2023/9939530 |
| _version_ | 1797530278549258240 |
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| author | Teya Kouakou Kra Isaac Bomisso Gossrin Jean-Marc Touré Kidjegbo Augustin Coulibaly Adama |
| author_facet | Teya Kouakou Kra Isaac Bomisso Gossrin Jean-Marc Touré Kidjegbo Augustin Coulibaly Adama |
| author_sort | Teya Kouakou Kra Isaac |
| collection | DOAJ |
| description | We study in this paper a general shape of damped Euler–Bernoulli beams with variable coefficients. Our main goal is to generalize several works already done on damped Euler–Bernoulli beams. We start by studying the spectral properties of a particular case of the system, and then we determine asymptotic expressions that generalize those obtained by other authors. At last, by adopting well-known techniques, we establish the Riesz basis property of the system in the general case, and the exponential stability of the system is obtained under certain conditions relating to the feedback coefficients and the sign of the internal damping on the interval studied of length 1. |
| first_indexed | 2024-03-10T10:26:46Z |
| format | Article |
| id | doaj.art-d7ce519158944c14874705635c301557 |
| institution | Directory Open Access Journal |
| issn | 1687-0409 |
| language | English |
| last_indexed | 2024-03-10T10:26:46Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj.art-d7ce519158944c14874705635c3015572023-11-22T00:00:02ZengHindawi LimitedAbstract and Applied Analysis1687-04092023-01-01202310.1155/2023/9939530Study of the Stability Properties for a General Shape of Damped Euler–Bernoulli Beams under Linear Boundary ConditionsTeya Kouakou Kra Isaac0Bomisso Gossrin Jean-Marc1Touré Kidjegbo Augustin2Coulibaly Adama3Felix Houphouet Boigny National Polytechnic InstituteNangui Abrogoua UniversityFelix Houphouet Boigny National Polytechnic InstituteFelix Houphouet Boigny UniversityWe study in this paper a general shape of damped Euler–Bernoulli beams with variable coefficients. Our main goal is to generalize several works already done on damped Euler–Bernoulli beams. We start by studying the spectral properties of a particular case of the system, and then we determine asymptotic expressions that generalize those obtained by other authors. At last, by adopting well-known techniques, we establish the Riesz basis property of the system in the general case, and the exponential stability of the system is obtained under certain conditions relating to the feedback coefficients and the sign of the internal damping on the interval studied of length 1.http://dx.doi.org/10.1155/2023/9939530 |
| spellingShingle | Teya Kouakou Kra Isaac Bomisso Gossrin Jean-Marc Touré Kidjegbo Augustin Coulibaly Adama Study of the Stability Properties for a General Shape of Damped Euler–Bernoulli Beams under Linear Boundary Conditions Abstract and Applied Analysis |
| title | Study of the Stability Properties for a General Shape of Damped Euler–Bernoulli Beams under Linear Boundary Conditions |
| title_full | Study of the Stability Properties for a General Shape of Damped Euler–Bernoulli Beams under Linear Boundary Conditions |
| title_fullStr | Study of the Stability Properties for a General Shape of Damped Euler–Bernoulli Beams under Linear Boundary Conditions |
| title_full_unstemmed | Study of the Stability Properties for a General Shape of Damped Euler–Bernoulli Beams under Linear Boundary Conditions |
| title_short | Study of the Stability Properties for a General Shape of Damped Euler–Bernoulli Beams under Linear Boundary Conditions |
| title_sort | study of the stability properties for a general shape of damped euler bernoulli beams under linear boundary conditions |
| url | http://dx.doi.org/10.1155/2023/9939530 |
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