A finite element model based on continuum shell elements available in ABAQUS software has been developed for the free vibration analysis of FGM sandwich panels. Applications to sandwich plates with different combinations of FGM core and/or FGM face sheets satisfying through-the-thickness material gradations in the form of either power (P-FGM) or sigmoid (S-FGM) or exponential (E-FGM) distributions are considered. A user-defined material subroutine UMAT was used to implement functionally graded properties of the constitutive FGM layer. Numerical studies are given for free vibrations of sandwich plates subjected to different boundary conditions and with different structural parameters such as span to thickness, face sheet–core–face sheet thickness and aspect ratios, and volume fraction exponent. The studies showed very good agreement between the present results and those existing in the literature that confirmed the accuracy of the developed model. A series of numerical solutions obtained in the research extends the results of testing examples and may serve as additional benchmark data for other researchers.

已经开发了基于ABAQUS软件中可用的连续壳元素的有限元模型，用于FGM夹心板的自由振动分析。应用于具有FGM核心和/或FGM面板的不同组合的夹心板，满足功率（P-FGM）或S形（S-FGM）或指数（E-FGM）分布形式的全厚度材料渐变被考虑。用户定义的材料子例程UMAT用于实现本构FGM层的功能渐变属性。对夹层板在不同边界条件和具有不同结构参数（例如跨度到厚度，面板-芯-面板厚度和长宽比以及体积分数指数）的自由振动进行了数值研究。研究表明，目前的结果与文献中已有的结果非常吻合，证实了所开发模型的准确性。研究中获得的一系列数值解扩展了测试示例的结果，并可以用作其他研究人员的其他基准数据。