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.
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