tabilization of a suspension bridge with locally distributed damping

被引：13

作者：

Cavalcanti, Marcelo M. ^{[1
]}

Correa, Wellington J. ^{[2
]}

Fukuoka, Ryuichi ^{[1
]}

Hajjej, Zayd ^{[3
]}

机构：

[1] Univ Estadual Maringa, Dept Math, BR-87020900 Maringa, Parana, Brazil

[2] Fed Technol Univ Parana, Acad Dept Math, Campuses Campo Mourao, BR-87301899 Campo Mourao, PR, Brazil

[3] Univ Gabes, Fac Sci Gabes, Dept Math, Gabes 6029, Tunisia

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2018年 / 30卷 / 04期

关键词：

Suspension bridge; Exponential asymptotic; Localized damping; SEMILINEAR WAVE-EQUATION; VON KARMAN PLATES; ENERGY DECAY-RATES; NONLINEAR OSCILLATIONS; RECTANGULAR PLATE; BERGER PLATE; BOUNDARY; STABILIZATION; DISSIPATION; ATTRACTORS;

D O I：

10.1007/s00498-018-0226-0

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study a nonlocal evolution equation modeling the deformation of a bridge, either a footbridge or a suspension bridge. Contrarily to the previous literature, we prove the exponential asymptotic stability of the considered model with a small amount of damping (namely, on a small collar around the whole boundary) which represents less cost of material.

引用

页数：39

共 51 条

[1] Bending and stretching energies in a rectangular plate modeling suspension bridges [J].

Al-Gwaiz, Mohammed ;

Benci, Vieri ;

Gazzola, Filippo .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 106 :18-34

[2] Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems [J].

Alabau-Boussouira, F .

APPLIED MATHEMATICS AND OPTIMIZATION, 2005, 51 (01) :61-105

[3] A unified approach via convexity for optimal energy decay rates of finite and infinite dimensional vibrating damped systems with applications to semi-discretized vibrating damped systems [J].

Alabau-Boussouira, Fatiha .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 248 (06) :1473-1517

[4] Stabilization of Bernoulli-Euler beams by means of a pointwise feedback force [J].

Ammari, K ;

Tucsnak, M .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 39 (04) :1160-1181

[5]

[Anonymous], INT SERIES NUMERICAL

[6]

[Anonymous], SPRINGER P MATH STAT

[7]

[Anonymous], J APPL MECH

[8]

[Anonymous], MODERN BIRKHAUSER CL

[9]

[Anonymous], TECHNICAL REPORT

[10] FINITE DIMENSIONAL SMOOTH ATTRACTOR FOR THE BERGER PLATE WITH DISSIPATION ACTING ON A PORTION OF THE BOUNDARY [J].

Avalos, George ;

Geredeli, Pelin G. ;

Webster, Justin T. .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2016, 15 (06) :2301-2328

← 1 2 3 4 5 6 →