This article deals with the investigation of the effects of porosity distributions on nonlinear free vibration and transient analysis of porous functionally graded skew (PFGS) plates. The effective material properties of the PFGS plates are obtained from the modified power-law equations in which gradation varies through the thickness of the PFGS plate. A nonlinear finite element (FE) formulation for the overall PFGS plate is derived by adopting first-order shear deformation theory (FSDT) in conjunction with von Karman’s nonlinear strain displacement relations. The governing equations of the PFGS plate are derived using the principle of virtual work. The direct iterative method and Newmark’s integration technique are espoused to solve nonlinear mathematical relations. The influences of the porosity distributions and porosity parameter indices on the nonlinear frequency responses of the PFGS plate for different skew angles are studied in various parameters. The effects of volume fraction grading index and skew angle on the plate’s nonlinear dynamic responses for various porosity distributions are illustrated in detail.

本文研究了孔隙率分布对多孔功能梯度倾斜 (PFGS) 板的非线性自由振动和瞬态分析的影响。PFGS 板的有效材料特性是从修正的幂律方程中获得的，其中梯度随 PFGS 板的厚度变化。通过采用一阶剪切变形理论 (FSDT) 并结合 von Karman 的非线性应变位移关系，推导出整个 PFGS 板的非线性有限元 (FE) 公式。利用虚功原理推导出PFGS板的控制方程。采用直接迭代法和Newmark积分技术求解非线性数学关系。研究了不同参数下孔隙率分布和孔隙率参数指数对不同倾斜角度下PFGS板非线性频率响应的影响。详细说明了体积分数分级指数和倾斜角对各种孔隙度分布的板非线性动态响应的影响。