Resumen de A stochastic meshless framework for higher-order free vibration analysis and static bending of porous functionally graded plates

Ping Xiang, Zhanjun Shao, Han Zhao, Peng Zhang, Xiaonan Xie, Xiaochun Liu

• In this study, the structural parameters of porous Functionally Graded (FG) plates are regarded as random fields with spatial variability, and their impact on static bending and free vibration, are investigated along with sensitivity analysis. Higher-order shear deformation theories (HSDT) are employed to establish the displacement field of the plate. Various parameters, including thickness, Young’s modulus, density, volume fraction index, and porosity parameter are treated as random fields, which are discretized by Karhunen-Loève (KL) method. The analysis of uncertainties concerning structural bending deflections and natural frequencies is conducted using modified perturbation stochastic method (MPSM) in conjunction with radial point interpolation method (RPIM). The investigation extends to exploring the sensitivities of the structural responses to these random fields. The results indicate that porous FG plates exhibit heightened sensitivity to variations in thickness, ceramic Young’s modulus, and volume fraction index; alterations in external conditions do not exert an influence on these sensitivities; the porosity distribution type significantly impacts the sensitivities.