This paper investigates the effect of porosity on active damping of geometrically nonlinear vibrations (GNLV) of the magneto-electro-elastic (MEE) functionally graded (FG) plates incorporated with active treatment constricted layer damping (ATCLD) patches. The perpendicularly/slanted reinforced 1–3 piezoelectric composite (1–3 PZC) constricting layer. The constricted viscoelastic layer of the ATCLD is modeled in the time-domain using Golla-Hughes-McTavish (GHM) technique. Different types of porosity distribution in the porous magneto-electro-elastic functionally graded PMEE-FG plate graded in the thickness direction. Considering the coupling effects among elasticity, electrical, and magnetic fields, a three-dimensional finite element (FE) model for the smart PMEE-FG plate is obtained by incorporating the theory of layer-wise shear deformation. The geometric nonlinearity adopts the von Kármán principle. The study presents the effects of a variant of a power-law index, porosity index, the material gradation, three types of porosity distribution, boundary conditions, and the piezoelectric fiber's orientation angle on the control of GNLV of the PMEE-FG plates. The results reveal that the FG substrate layers' porosity significantly impacts the nonlinear behavior and damping performance of the PMEE-FG plates.

本文研究了孔隙率对结合主动处理收缩层阻尼 (ATCLD) 贴片的磁电弹性 (MEE) 功能梯度 (FG) 板的几何非线性振动 (GNLV) 主动阻尼的影响。垂直/倾斜增强的 1-3 压电复合材料 (1-3 PZC) 收缩层。使用 Golla-Hughes-McTavish (GHM) 技术在时域中对 ATCLD 的收缩粘弹性层进行建模。多孔磁电弹性功能梯度PMEE-FG板在厚度方向上不同类型的孔隙率分布。考虑弹性、电场和磁场之间的耦合效应，结合分层剪切变形理论，得到智能PMEE-FG板的三维有限元（FE）模型。几何非线性采用冯卡门原理。该研究展示了幂律指数、孔隙率指数、材料级配、三种孔隙率分布、边界条件和压电纤维取向角对 PMEE-FG 板 GNLV 控制的影响。结果表明，FG基板层的孔隙率显着影响PMEE-FG板的非线性行为和阻尼性能。