空隙、杂质及组分突变对功能梯度构件动力特性的影响

功能梯度材料具有复杂的细部结构, 其内部构造远比匀质材料复杂, 因此其构件动力分析很难求得其解析解。本文中提出了一种新颖的功能梯度构件动力分析的细观元法, 其目的在于建立材料的宏观性能与其组分材料性能及细观构造之间的定量关系, 以便揭示不同的材料组合及其变异所具有不同的宏观性能的内在机制。利用细观元法对含有空隙、 杂质及组分突变等情况下的功能梯度构件进行动力分析, 求得其三维固有频率及振型的三维分布。从而可知空隙、 杂质及组分突变均对功能梯度材料构件的宏观动力特性有很大的影响。 

Influence of gap, impurities and component mutation on dynamic character of functionally graded structures

There are complex microstructures of functionally graded materials, and their internal structures are more complex than those of homogeneous materials. Therefore, the analytic solution of the functionally graded structure is difficult to obtain. A new microelement method for the analysis of functionally graded structures was suggested to establish the quantitative relation between the macro-character and microstructures of functionally gra- ded materials, and the mechanism, that different combination and variation of materials have different macro-charac- ters, can he found. The dynamic analyses of functionally graded structures with gap, impurities and component mu- tation are performed by the microelement method, and the three-dimensional values of natural frequency and the three-dimensional distributions of the mode shape are given in this paper, and there are great influences of the gaps, impurities and component mutation on the macro dynamic characters of the functionally graded structures.