On the Internal and Boundary Control of the Laminated Beams

被引:0
作者
Mustaf, Muhammad, I [1 ]
机构
[1] Univ Sharjah, Dept Math, POB 27272, Sharjah, U Arab Emirates
关键词
laminated beams; uniform stability; internal and boundary dampings; EXPONENTIAL STABILITY; ENERGY DECAY;
D O I
10.1007/s00009-022-02189-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider laminated beams model with structural damping. With one internal frictional damping in the first equation and one boundary damping both modulated by time-dependent coefficients, we establish a uniform stability result without imposing any conditions on the physical parameters of the system. The same stability result will be obtained in the absence of the structural damping provided that the wave speeds are equal.
引用
收藏
页数:14
相关论文
共 50 条
  • [21] Well-posedness and exponential decay for laminated Timoshenko beams with time delays and boundary feedbacks
    Feng, Baowei
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (03) : 1162 - 1174
  • [22] Asymptotic Behavior in a Laminated Beams Due Interfacial Slip with a Boundary Dissipation of Fractional Derivative Type
    Tita Maryati
    Jaime Muñoz Rivera
    Verónica Poblete
    Octavio Vera
    Applied Mathematics & Optimization, 2021, 84 : 85 - 102
  • [23] Asymptotic Behavior in a Laminated Beams Due Interfacial Slip with a Boundary Dissipation of Fractional Derivative Type
    Maryati, Tita
    Munoz Rivera, Jaime
    Poblete, Veronica
    Vera, Octavio
    APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 84 (01) : 85 - 102
  • [24] Uniform Stability for a Semilinear Laminated Timoshenko Beams Posed in Inhomogeneous Medium with Localized Nonlinear Damping
    Mansouri, Sabeur
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2024,
  • [25] EXPONENTIAL STABILIZATION OF LAMINATED BEAMS WITH GURTIN-PIPKIN THERMAL LAW THE CASE OF EQUAL SPEEDS
    Fayssal, Djellali
    Zannini, Victor R. Abanillas
    Al-Mahdi, Adel M.
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2024, 36 (02) : 183 - 202
  • [26] Laminated beams subjected to transverse load
    Allison, I. M.
    STRAIN, 1998, 34 (03) : 91 - 94
  • [27] Optimal polynomial stability for laminated beams with Kelvin-Voigt damping
    Cabanillas Zannini, Victor R.
    Quispe Mendez, Teofanes
    Sanchez Vargas, Juan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (16) : 9578 - 9601
  • [28] Torsion of variable stiffness composite laminated beams
    Gunay, Muhsin Gokhan
    PAMUKKALE UNIVERSITY JOURNAL OF ENGINEERING SCIENCES-PAMUKKALE UNIVERSITESI MUHENDISLIK BILIMLERI DERGISI, 2022, 28 (01): : 18 - 25
  • [29] Elasticity solution for free vibration of laminated beams
    Chen, WQ
    Lv, CF
    Bian, ZG
    COMPOSITE STRUCTURES, 2003, 62 (01) : 75 - 82
  • [30] A coupled contact and decohesion analysis of laminated beams
    Carpinteri, Alberto
    Paggi, Marco
    Zavarise, Giorgio
    IUTAM SYMPOSIUM ON COMPUTATIONAL METHODS IN CONTACT MECHANICS, 2007, 3 : 147 - +