Vibration control of a viscoelastic flexible marine riser with vessel dynamics
In this work, we investigate the asymptotic behavior of solutions of a viscoelastic flexible marine riser with vessel dynamics. Under a suitable control applied at the top end of the riser, we establish explicit decay rates for a large class of relaxation functions. In particular, exponentially and...
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Vilnius Gediminas Technical University
2018-06-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/2240 |
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doaj-f7ee53f2a61642aca813520e4c02069f2021-07-02T09:50:33ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102018-06-0123310.3846/mma.2018.026Vibration control of a viscoelastic flexible marine riser with vessel dynamicsLamia Seghour0Amirouche Berkani1Nasser-eddine Tatar2Fardin Saedpanah3Faculty of Mathematics, University of Sciences and Technology Houari Boumediene, BP 32 El Alia, 16111 Bab Ezzouar Algiers, AlgeriaFaculty of Mathematics and Informatics, University Mohamed El Bachir El Ibrahimi Bordj Bou Arréridj, 34030 El-Anasser, AlgeriaDepartment of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, 31261 Dhahran, Saudi ArabiaDepartment of Mathematics, University of Kurdistan, P.O. Box 416, Sanandaj, Iran In this work, we investigate the asymptotic behavior of solutions of a viscoelastic flexible marine riser with vessel dynamics. Under a suitable control applied at the top end of the riser, we establish explicit decay rates for a large class of relaxation functions. In particular, exponentially and polynomially (or power type) decaying functions are included in this class. Our method is based on the multiplier technique. Numerical simulations justifying the effectiveness of the proposed boundary control to suppress the vibrations of the flexible marine riser are provided. https://journals.vgtu.lt/index.php/MMA/article/view/2240stabilityvibration controlflexible marine riserboundary controlEuler-Bernoulli beam structureviscoelasticity |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Lamia Seghour Amirouche Berkani Nasser-eddine Tatar Fardin Saedpanah |
| spellingShingle |
Lamia Seghour Amirouche Berkani Nasser-eddine Tatar Fardin Saedpanah Vibration control of a viscoelastic flexible marine riser with vessel dynamics Mathematical Modelling and Analysis stability vibration control flexible marine riser boundary control Euler-Bernoulli beam structure viscoelasticity |
| author_facet |
Lamia Seghour Amirouche Berkani Nasser-eddine Tatar Fardin Saedpanah |
| author_sort |
Lamia Seghour |
| title |
Vibration control of a viscoelastic flexible marine riser with vessel dynamics |
| title_short |
Vibration control of a viscoelastic flexible marine riser with vessel dynamics |
| title_full |
Vibration control of a viscoelastic flexible marine riser with vessel dynamics |
| title_fullStr |
Vibration control of a viscoelastic flexible marine riser with vessel dynamics |
| title_full_unstemmed |
Vibration control of a viscoelastic flexible marine riser with vessel dynamics |
| title_sort |
vibration control of a viscoelastic flexible marine riser with vessel dynamics |
| publisher |
Vilnius Gediminas Technical University |
| series |
Mathematical Modelling and Analysis |
| issn |
1392-6292 1648-3510 |
| publishDate |
2018-06-01 |
| description |
In this work, we investigate the asymptotic behavior of solutions of a viscoelastic flexible marine riser with vessel dynamics. Under a suitable control applied at the top end of the riser, we establish explicit decay rates for a large class of relaxation functions. In particular, exponentially and polynomially (or power type) decaying functions are included in this class. Our method is based on the multiplier technique. Numerical simulations justifying the effectiveness of the proposed boundary control to suppress the vibrations of the flexible marine riser are provided.
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| topic |
stability vibration control flexible marine riser boundary control Euler-Bernoulli beam structure viscoelasticity |
| url |
https://journals.vgtu.lt/index.php/MMA/article/view/2240 |
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1721332825600294912 |