Abstract In this paper, damped dynamic deflections of an advanced piezoelectric sandwich plate (APSP) subjected to thermo-electro-mechanical loads have been studied using a meshless method. In the considered APSP, two active piezoelectric layers are attached on to the faces of a passive advanced structure consisting of two thin graphene reinforced nanocomposite (GRNC) layers and a thick porous polymeric core. In GRNC layers, graphene content is assumed to be varied according to functional distribution profiles. Using modified Halpin-Tsai’ equations, temperature dependent material properties of nanocomposite layers have been determined. Reddy’s third order theory of plates (called TSDT) is utilized to obtain the coupled governing equations, and MLS shape functions are adopted in the meshless solution. The influences of graphene content, porosity, temperature, electro-mechanical loading and structural damping on dynamic deflection behavior have been investigated. The results reveal that adding graphene volume fraction from 3% to 7% significantly affects the damping ratio, settling time and dynamic response of APSPs. However, further addition of graphene content has little effect on those responses. Moreover, embedding more pores in the core layer remarkably changes the damped dynamic behavior of APSPs due to a significant reduction in structural weight and a slight decrease in structural stiffness.

中文翻译：

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先进压电夹层板的阻尼动力学行为

摘要 在本文中，使用无网格方法研究了先进压电夹层板 (APSP) 在热机电负载下的阻尼动态挠度。在所考虑的 APSP 中，两个主动压电层附着在被动先进结构的表面上，该结构由两个薄石墨烯增强纳米复合材料 (GRNC) 层和一个厚多孔聚合物核组成。在 GRNC 层中，假定石墨烯含量根据功能分布曲线而变化。使用修改后的 Halpin-Tsai' 方程，已经确定了纳米复合材料层的温度相关材料特性。利用Reddy的三阶板理论（称为TSDT）得到耦合控制方程，在无网格解中采用MLS形函数。石墨烯含量、孔隙率、已经研究了温度、机电载荷和结构阻尼对动态挠度行为的影响。结果表明，石墨烯体积分数从 3% 增加到 7% 显着影响 APSP 的阻尼比、稳定时间和动态响应。然而，进一步添加石墨烯含量对这些响应几乎没有影响。此外，由于结构重量的显着减少和结构刚度的轻微降低，在核心层中嵌入更多的孔显着改变了 APSP 的阻尼动力学行为。进一步添加石墨烯含量对这些响应几乎没有影响。此外，由于结构重量的显着减少和结构刚度的轻微降低，在核心层中嵌入更多的孔显着改变了 APSP 的阻尼动力学行为。进一步添加石墨烯含量对这些响应几乎没有影响。此外，由于结构重量的显着减少和结构刚度的轻微降低，在核心层中嵌入更多的孔显着改变了 APSP 的阻尼动力学行为。