Stabilization of the laminated beams by internal and boundary dampings

被引:3
作者
Mustafa, Muhammad, I [1 ]
机构
[1] Univ Sharjah, Dept Math, POB 27272, Sharjah, U Arab Emirates
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 06期
关键词
Laminated beam; Uniform stability; Internal and boundary dampings; ENERGY DECAY; STABILITY;
D O I
10.1007/s00033-022-01865-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider a laminated beam model which is given by two identical uniform layers on top of each other, taking into account that an adhesive of small thickness is bonding the two surfaces and produces an interfacial slip. With one internal frictional or viscoelastic damping in the second equation and one boundary damping modulated by time-dependent coefficients, we establish uniform stability results without imposing any conditions on the physical parameters of the system.
引用
收藏
页数:14
相关论文
共 50 条
  • [41] ON THE INTERNAL AND BOUNDARY STABILIZATION OF A NONLINEAR SUSPENSION BRIDGE SYSTEM: EXPONENTIAL AND POLYNOMIAL DECAY RATES
    Mugbil, Ahmad
    Al-Gharabli, Mohammad M.
    Al-Mahdi, Adel M.
    Soufyane, Abdelaziz
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2024, 13 (04): : 1199 - 1211
  • [42] STABILIZATION OF HYPERBOLIC EQUATIONS WITH MIXED BOUNDARY CONDITIONS
    Fu, Xiaoyu
    MATHEMATICAL CONTROL AND RELATED FIELDS, 2015, 5 (04) : 761 - 780
  • [43] Memory-type boundary control of a laminated Timoshenko beam
    Feng, Baowei
    Soufyane, Abdelaziz
    MATHEMATICS AND MECHANICS OF SOLIDS, 2020, 25 (08) : 1568 - 1588
  • [44] Stabilization of a Thermoelastic Laminated Beam with Past History
    Wenjun Liu
    Weifan Zhao
    Applied Mathematics & Optimization, 2019, 80 : 103 - 133
  • [45] Exponential stability for laminated beams with intermediate damping
    Cabanillas, Victor R.
    Raposo, Carlos A.
    ARCHIV DER MATHEMATIK, 2022, 118 (06) : 625 - 635
  • [46] Laminated beams with thermoelasticity acting on the shear force
    Cabanillas Zannini, Victor R.
    Quispe Mendez, Teofanes
    Ramos, Anderson J. A.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (01) : 1352 - 1374
  • [47] Exponential Stability of Laminated Beams with Interfacial Slip
    Apalara, Tijani A.
    MECHANICS OF SOLIDS, 2021, 56 (01) : 131 - 137
  • [48] Progressive failure analysis of laminated composite beams
    Kim, Y
    Davalos, JF
    Barbero, EJ
    JOURNAL OF COMPOSITE MATERIALS, 1996, 30 (05) : 536 - 560
  • [49] Improved torsional analysis of laminated box beams
    Kim, Nam-Il
    Lee, Jaehong
    MECCANICA, 2013, 48 (06) : 1369 - 1386
  • [50] Free and Forced Vibration of Laminated Composite Beams
    Wu Zhen
    Chen Wanji
    AIAA JOURNAL, 2018, 56 (07) : 2877 - 2886