Dynamic behavior of a new class of nanocomposites consisted of metal foam as matrix and graphene oxide powders as reinforcement is presented in this study in the framework of forced vibration. Graphene oxide powders are dispersed through the thickness of a plate made from metal foam material according to four various functionally graded patterns on the basis of the Halpin-Tsai micromechanical homogenization method. Also, three kinds of porosity distributions including two symmetric and one uniform patterns are considered for the metal foam matrix. As external effects, the plate is rested on the Winkler-Pasternak substrate and under uniform thermal and transverse dynamic loadings. By an incorporation of the refined higher order plate theory and Hamilton's principle, the governing equations of the dynamically loaded graphene oxide powder reinforced metal foam nanocomposite plate are derived and then solved with Galerkin exact solution method to achieve the resonance frequencies and dynamic deflections of the structure. Moreover, the influence of different boundary conditions is taken into account. The results indicate that the forced vibrational response of the graphene oxide powder strengthened metal foam nanocomposite plate is dramatically dependent on various parameters such as graphene oxide powders' weight fraction, different boundary conditions, various porosity distributions, foundation parameters and temperature change of uniform thermal loading.

本研究在强迫振动的框架内介绍了一类由金属泡沫作为基体和氧化石墨烯粉末作为增强材料的新型纳米复合材料的动态行为。基于 Halpin-Tsai 微机械均质化方法，根据四种不同的功能梯度图案，将氧化石墨烯粉末分散在由金属泡沫材料制成的板的厚度上。此外，泡沫金属基体考虑了三种孔隙率分布，包括两种对称和一种均匀图案。作为外部效应，该板搁置在 Winkler-Pasternak 基底上，并承受均匀的热载荷和横向动态载荷。通过结合精细的高阶板理论和汉密尔顿原理，推导出动态加载的氧化石墨烯粉末增强金属泡沫纳米复合板的控制方程，然后用Galerkin精确解法求解，以获得结构的共振频率和动态挠度。此外，还考虑了不同边界条件的影响。结果表明，氧化石墨烯粉末增强泡沫金属纳米复合板的受迫振动响应显着依赖于各种参数，如氧化石墨烯粉末的重量分数、不同的边界条件、各种孔隙率分布、地基参数和均匀热载荷的温度变化。 .