摘要
本文用域外法分析了各向同性薄板的弯曲问题,适用于任意边界形状及任意边界条件,效果十分理想。
The numerical methods of structural analysis have been developed to out-domain method(ODM) from domain methods such as FEM and boundary methods such as BEM. In ODM which based on differential equations and their boundary conditions of various problems appearing in engineering, the elastic body of interest is imagined to be embedded in infinite domain with point loads judiciously placed outside the body. The magnitudes of these loads are then adjusted to satisfy prescribed boundary conditions. Owing to foundamental solutions using, the method has the advantage of simple calculations and can easily be written as programs which can save a lot of CPU time and computer storages. So ODM is superior to various domain methods and boundary methods.In this paper, ODM is first used to analyse flexural problems of isotropic thin plates with arbitrary plan form and boundary conditions, all the results are quite satisfactory.