Bending and vibration analysis of three-phase bi-directional functionally graded porous sandwich plates

This study delves into the bending and vibration analysis of three-phase bi-directional functionally graded porous sandwich plates, highlighting the impact of material gradation, porosity distribution, and structural parameters on deflection and natural frequency. The research employs Reddy’s third-order shear deformation theory and the pb2-Ritz method to accurately model and analyze these complex structures. Key findings reveal that the volume fraction indices and significantly influence the deflection and natural frequency of the plates. The study also explores the effects of different porosity distribution patterns, such as uniform and symmetric non-uniform distributions, on the mechanical behavior of the plates. Additionally, the influence of boundary conditions and aspect ratios on the deflection and natural frequency is thoroughly examined. The results provide valuable insights into optimizing sandwich plate designs for high-performance engineering applications, particularly in aerospace, automotive, and civil infrastructure. The study concludes that the sandwich plate with a symmetric porosity distribution exhibits higher stiffness and lower deflection compared to the one with a uniform porosity distribution, making it a preferred choice for applications requiring enhanced structural integrity and performance.