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
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