VIBRATION CONTROL OF A VISCOELASTIC FLEXIBLE MARINE RISER WITH VESSEL DYNAMICS-Reference-Cited by-同舟云学术

VIBRATION CONTROL OF A VISCOELASTIC FLEXIBLE MARINE RISER WITH VESSEL DYNAMICS

Published:2018-06-15 Issue:3 Volume:23 Page:433-452
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
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Author:

Seghour Lamia¹,Berkani Amirouche²,Tatar Nasser-eddine³,Saedpanah Fardin⁴

Affiliation:

1. University of Sciences and Technology Houari Boumediene

2. University Mohamed El Bachir El Ibrahimi Bordj Bou Arréridj

3. King Fahd University of Petroleum and Minerals

4. University of Kurdistan

Abstract

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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