A coupled problem of thermoelastic vibrations of a circular plate with exact boundary conditions

被引:3
|
作者
Trajkovski, D
Cukic, R
机构
[1] Tehnicki Fak Bitola, Bitola 97000, North Macedonia
[2] Univ Belgrade, Masinski Fak, YU-11000 Belgrade, Yugoslavia
关键词
coupled; thermoelastic; plates; integral; equations; transforms;
D O I
暂无
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Thermoelastic vibrations of a free supported and clamped circular plate caused by a thermal shock upon the plate surface have been analysed. The system of partial differential equations of the coupled system has been reduced to Volterra's first and second kind integral equations in the time domain. In both cases the solutions are given in the form of series of Bessel functions of the first kind.
引用
收藏
页码:217 / 224
页数:8
相关论文
共 50 条
  • [21] Thermal deflection of an inverse thermoelastic problem in a thin isotropic circular plate
    Gaikwad, MN
    Deshmukh, KC
    APPLIED MATHEMATICAL MODELLING, 2005, 29 (09) : 797 - 804
  • [22] Thermoelastic problem of a thin circular plate subject to a distributed heat supply
    Khobragade, NL
    Deshmukh, KC
    JOURNAL OF THERMAL STRESSES, 2005, 28 (02) : 171 - 184
  • [23] Exact-approximate boundary controllability of thermoelastic systems under free boundary conditions
    Avalos, G
    Lasiecka, I
    CONTROL OF DISTRIBUTED PARAMETER AND STOCHASTIC SYSTEMS, 1999, 13 : 3 - 11
  • [24] On vibrations of nonlocal rods: Boundary conditions, exact solutions and their asymptotics
    Xu, Xiao-Jian
    Zheng, Mu-Lian
    Wang, Xuan-Cang
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2017, 119 : 217 - 231
  • [25] On a nonlinear coupled system of thermoelastic type with acoustic boundary conditions
    Braz e Silva, P.
    Clark, H. R.
    Frota, C. L.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2017, 36 (01): : 397 - 414
  • [26] On a nonlinear coupled system of thermoelastic type with acoustic boundary conditions
    P. Braz e Silva
    H. R. Clark
    C. L. Frota
    Computational and Applied Mathematics, 2017, 36 : 397 - 414
  • [27] Thermoelastic problem in the functionally graded plate with the slanting boundary to the functional gradation
    Ohmich, M.
    Nodal, N.
    MULTISCALE AND FUNCTIONALLY GRADED MATERIALS, 2008, 973 : 670 - +
  • [28] Boundary Controllability of a Thermoelastic Plate
    Yang, Fengyan
    Yao, Pengfei
    PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 1317 - 1322
  • [29] COUPLED THERMOELASTIC PROBLEM
    DHALIWAL, RS
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (01): : 219 - &
  • [30] Coupled transient thermoelastic contact problem in an edge-cracked plate
    Chen, Cha'o-Kuang, 1600, ASME, New York, NY, United States (61):