This work is promoted to analyze the time-dependent behavior of composite panels. Furthermore, different curves and boundary conditions are also covered. The material properties for the composite panel are assumed to be vary continuously within z-direction. The effective material properties are estimated via Voigt’s micro-mechanical model by a modified-power law rule for arbitrary power index. The governing motion equations for the dynamics of imperfect panels are evaluated by rewriting the classical Hooke’s law through Eringen nonlocal elasticity for a higher-order shear deformable theory. Then, a numerical solution for imperfect functionally graded doubly-curved panels with arbitrary boundary conditions is carried out. The panel considered in the current study has pure ceramic/metal-rich surfaces within top and bottom of the panel in which the synthesize of imperfections in the composite material are described by a cosine model of porosity distribution. Ultimately, the sensitivity of both time-dependent transverse displacement and stresses are studied for material composition, porosity level, geometrical parameters, nonlocality and excitation frequency that supported by simply-supported, clamped, free and the combination of them as well as different curves (i.e., spherical, elliptical, hyperbolic and cylindrical).

这项工作被推广到分析复合板的时间相关行为。此外，还涵盖了不同的曲线和边界条件。假设复合板的材料属性在 z 方向内连续变化。通过 Voigt 的微机械模型，通过任意功率指数的修正幂律规则估计有效材料特性。通过 Eringen 非局部弹性重写经典胡克定律来评估不完美面板动力学的控制运动方程，以获得更高阶的剪切变形理论。然后，对具有任意边界条件的不完美功能梯度双曲面面板进行数值求解。当前研究中考虑的面板在面板的顶部和底部具有纯陶瓷/富含金属的表面，其中复合材料中缺陷的合成由孔隙率分布的余弦模型描述。最后，研究了简支、夹持、自由及其组合以及不同曲线支持的材料成分、孔隙率水平、几何参数、非定域性和激励频率对随时间变化的横向位移和应力的敏感性。即球形、椭圆形、双曲线形和圆柱形）。