This is the first time the multidirectional-graded porous panel structure modeled numerically using an equivalent single-layer higher-order polynomial model considering the cubic variation of extensional displacement to maintain the necessary stress/strain. The effect of porosity (even and uneven distributions) and variable grading patterns also included achieving the generality. Further, the deflection and stress values, the proposed bidirectional functionally graded (2D-FG) structure, are predicted under the variable loadings, i.e. static and dynamic. Three different types of grading pattern, i.e. power-law, exponential and sigmoid are introduced by varying the material constituents along their principal material axes (longitudinal and transverse). The current numerical solutions (deflection and stress) are obtained through a customized computer code (prepared in MATLAB), under the influences of the static and time-dependent loadings utilizing the higher-order finite element formulations. The dynamic deflections are obtained through the constant acceleration type Newmark’s time-integration steps. The predicted result accuracy is checked by comparing the previously published values in literature and different simulation models (ANSYS and ABAQUS). Besides, the batch input technique is adopted for the simulation material models for both the ANSYS and ABAQUS. Moreover, the python scripting is adopted first time to modify ABAQUS input files for the present 2D graded structure. The influential structure input parameter (power-law exponents, thickness ratio, aspect ratio, end conditions, geometry and curvature ratio) is varied to compute a few final responses (deflection and stress data) of multidirectional FG structure via the derived mathematical model and the final understandings listed the details.

这是第一次使用等效单层高阶多项式模型对多方向梯度多孔板结构进行数值建模，考虑到拉伸位移的三次变化以保持必要的应力/应变。孔隙度（均匀和不均匀分布）和可变分级模式的影响也包括实现一般性。此外，所提出的双向功能梯度 (2D-FG) 结构的挠度和应力值是在可变载荷（即静态和动态）下预测的。通过沿材料主轴（纵向和横向）改变材料成分，引入了三种不同类型的分级模式，即幂律、指数和 sigmoid。当前的数值解（挠度和应力）是通过定制的计算机代码（在 MATLAB 中准备）在静态和瞬态载荷的影响下使用高阶有限元公式获得的。动态挠度是通过恒加速度型 Newmark 的时间积分步骤获得的。通过比较文献中先前公布的值和不同的仿真模型（ANSYS 和 ABAQUS）来检查预测结果的准确性。此外，ANSYS和ABAQUS的仿真材料模型均采用批量输入技术。此外，首次采用python脚本对现有二维分级结构的ABAQUS输入文件进行修改。有影响的结构输入参数（幂律指数、厚度比、纵横比、末端条件、