Viscoelastic Timoshenko Beams with Occasionally Constant Relaxation Functions

被引：12
|
作者：
Tatar, Nasser-eddine [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 2012年 / 66卷 / 01期
关键词：
Arbitrary decay; Memory term; Relaxation function; Stabilization; Timoshenko beam; Viscoelasticity; BOUNDARY FEEDBACK STABILIZATION; EXPONENTIAL STABILITY; ASYMPTOTIC-BEHAVIOR; SYSTEMS; DECAY;
D O I：
10.1007/s00245-012-9167-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a prescribed desirable arbitrary decay suitable viscoelastic materials are determined through their relaxation functions. It is shown that if we wish to have a decay of order gamma(t) then the kernels should be of the same order. That is their product with this function should be summable.
引用
收藏
页码：123 / 145
页数：23
相关论文
共 50 条
  • [1] Viscoelastic Timoshenko Beams with Occasionally Constant Relaxation Functions
    Nasser-eddine Tatar
    [J]. Applied Mathematics & Optimization, 2012, 66 : 123 - 145
  • [2] FREE VIBRATIONS OF VISCOELASTIC TIMOSHENKO BEAMS
    HUANG, TC
    HUANG, CC
    [J]. JOURNAL OF APPLIED MECHANICS, 1971, 38 (02): : 515 - +
  • [3] On the Control of Dissipative Viscoelastic Timoshenko Beams
    Mustafa, Muhammad I.
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (02)
  • [4] FORCED VIBRATIONS OF VISCOELASTIC TIMOSHENKO BEAMS
    HUANG, CC
    HUANG, TC
    [J]. JOURNAL OF ENGINEERING FOR INDUSTRY-TRANSACTIONS OF THE ASME, 1976, 98 (03): : 820 - 826
  • [5] Laminated Timoshenko beams with viscoelastic damping
    Mustafa, Muhammad I.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 466 (01) : 619 - 641
  • [6] FORCED VIBRATIONS OF VISCOELASTIC TIMOSHENKO BEAMS
    HUANG, CC
    HUANG, TC
    [J]. MECHANICAL ENGINEERING, 1975, 97 (12): : 96 - 96
  • [7] TIMOSHENKO BEAMS ON LINEAR VISCOELASTIC FOUNDATIONS
    KOBAYASHI, H
    SONODA, K
    [J]. JOURNAL OF GEOTECHNICAL ENGINEERING-ASCE, 1983, 109 (06): : 832 - 844
  • [8] On the Control of Dissipative Viscoelastic Timoshenko Beams
    Muhammad I. Mustafa
    [J]. Mediterranean Journal of Mathematics, 2021, 18
  • [9] Analytical Solutions of Viscoelastic Nonlocal Timoshenko Beams
    Pinnola, Francesco Paolo
    Barretta, Raffaele
    Marotti de Sciarra, Francesco
    Pirrotta, Antonina
    [J]. MATHEMATICS, 2022, 10 (03)
  • [10] Dynamical Behavior of Nonlinear Viscoelastic Timoshenko Beams with(Damage) on a Viscoelastic Foundation
    盛冬发
    张燕
    程昌钧
    [J]. Advances in Manufacturing, 2004, (03) : 245 - 251
12345