A MAPPING FINITE-DIFFERENCE MODEL FOR INFINITE ELASTIC MEDIA

被引：1
作者：
ALABI, B
机构：
[1] Univ of Ibadan, Dep of Mechanical, Engineering, Ibadan, Nigeria, Univ of Ibadan, Dep of Mechanical Engineering, Ibadan, Nigeria
来源：
APPLIED MATHEMATICAL MODELLING | 1985年 / 9卷 / 01期
关键词：
ELASTIC WAVES - Mathematical Models - MATHEMATICAL TECHNIQUES - Finite Difference Method;
D O I：
10.1016/0307-904X(85)90142-8
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A simple mapping finite difference model was presented for the solution of boundary-value problems in the theory of time-harmonic elastic vibrations. The infinite problem domain is condensed by mapping into a smaller finite domain using a suitable coordinate transformation. The field equation and the boundary conditions are also appropriately transformed. The radiation condition at infinity is satisfied through a change of the dependent variable. Finite difference forms of the transformed equations were then solved in the mapped domain, subject to the transformed boundary conditions.
引用
收藏
页码：62 / 68
页数：7
相关论文
共 15 条
  • [1] ALABI B, 1979, THESIS U LONDON LOND
  • [2] ANG AHS, 1971, DEV TRANSMITTING BOU
  • [3] DYNAMIC RESPONSE OF AN INFINITE CYLINDRICAL SHELL REINFORCED WITH ELASTIC RINGS AND SUBMERGED IN AN ACOUSTIC MEDIUM
    BERGER, BS
    [J]. JOURNAL OF APPLIED MECHANICS, 1970, 37 (01): : 196 - &
  • [4] SOLUTION OF NAVIERS EQUATION IN CYLINDRICAL CURVILINEAR COORDINATES
    BERGER, BS
    ALABI, B
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1978, 45 (04): : 812 - 816
  • [5] ELASTIC WAVE FIELDS GENERATED BY SCALAR WAVE FUNCTIONS
    CHADWICK, P
    TROWBRIDGE, EA
    [J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1967, 63 : 1177 - +
  • [6] Davis PJ., 1975, METHODS NUMERICAL IN
  • [7] Eringen AC, 1975, ELASTODYNAMICS, VII
  • [8] ERINGEN AC, 1962, NONLINEAR MECHANICS
  • [9] IVES DC, 1976, J AIAA, V14, P1006
  • [10] KANSEL E, 1975, J ENGINEERING MECHAN, V101, P679
12