Vibration Control of a Viscoelastic Flexible Marine Riser with Vessel Dynamics

被引：5

作者：

Seghour, Lamia ^{[1
]}

Berkani, Amirouche ^{[2
]}

Tatar, Nasser-eddine ^{[3
]}

Saedpanah, Fardin ^{[4
]}

机构：

[1] Univ Sci & Technol Houari Boumediene, Fac Math, BP 32 El Alia, Bab Ezzouar Algiers 16111, Algeria

[2] Univ Mohamed El Bachir El Ibrahimi, Fac Math & Informat, Bordj Bou Arreridj 34030, El Anasser, Algeria

[3] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[4] Univ Kurdistan, Dept Math, POB 416, Sanandaj, Iran

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2018年 / 23卷 / 03期

关键词：

stability; vibration control; flexible marine riser; boundary control; Euler-Bernoulli beam structure; viscoelasticity; EULER-BERNOULLI BEAM; BOUNDARY CONTROL; STABILIZATION; MEMORY; EXISTENCE; STABILITY; EQUATION;

D O I：

10.3846/mma.2018.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：433 / 452

页数：20

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