有限元的因次分析法

利用因次分析法对用有限元法所分析的结构进行分析，求得了模型和原型之间相似准则，对于同种材料的结构，当结构几何比为λl，外加动载荷之比为λl^2，振动频率之比为时1／λl，结构满足相似准则，则结构的振动加速度之比为1／λl，辐射声功率之比为λl^2。

Dimensional analysis method for finite element model

Dimensional analysis method is an efficient method to abtain the similarity principles. In this paper, a dimensional analysis method for finite element model is put forword. With it, similarity principles of a structure, which is analysed by finite element method, are abtained. Consequently, the similarly relationships of similary structures are abtained. For prototype structure and model structure, which are made from the same material, if structures proportion of geometrical size is ll, proportion of dynamic load is2lland proportion vibratonal frequency isll1, prototpye and model structures will be similary. And the similary structures proportion of vibrational acceleration isll1, proportion of power of noise radiation is 2ll.