Abstract

An efficient finite element model based on conventional shell elements available in ABAQUS software has been developed for free vibration analysis of FGM monolayer and sandwich flat panels. Applications to sandwich plates with an FGM layer embedded as either a core or face sheets with different through-the-thickness material gradations in the form of power (P-FGM), sigmoid (S-FGM), and 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 monolayer and sandwich plates subjected to various boundary conditions and with different structural parameters such as span-to-thickness, face sheet-core-face sheet thickness and aspect ratios, and volume fraction index. The studies showed very good agreement between the present results and those existing in the literature that confirmed the accuracy of the developed model at minimal computational costs. This emphasizes the efficiency of the shell-based modeling strategy proposed for the calculations. A series of numerical solutions obtained in the research extends the results of known testing examples and may serve as additional benchmark data for other analysts.

摘要

基于 ABAQUS 软件中可用的常规壳单元开发了一种有效的有限元模型，用于 FGM 单层和夹层平板的自由振动分析。将 FGM 层嵌入作为芯板或面板的夹层板的应用考虑分布。用户定义的材料子程序 UMAT 用于实现本构 FGM 层的功能分级特性。数值研究给出了单层和夹层板在各种边界条件和不同结构参数下的自由振动，例如跨度-厚度、面板-芯-面板厚度和纵横比以及体积分数指数。研究表明，目前的结果与文献中存在的结果非常一致，证实了以最小计算成本开发的模型的准确性。这强调了为计算提出的基于壳的建模策略的效率。研究中获得的一系列数值解扩展了已知测试示例的结果，并可作为其他分析师的额外基准数据。