Effet des fondations élastique sur le comportement mécanique de structure en FGM.

Abstract

This study examines the influence of elastic foundations on the vibrational characteristics of specific structures, particularly functionally graded material (FGM) plates. The primary objective is to evaluate how the introduction of elastic foundations alters the vibration modes of these complex structures. Additionally, the analysis of the effect of porosity on the vibrational behavior of porosity-graded plates is studied. Three forms of porosity distribution are used: uniform (FGU), asymmetric (FGA), and symmetric (FGS), to observe their behavior on the foundations. Porosity is assumed to vary only across the thickness of the plates. elastic foundations, acting as flexible supports, absorb and redistribute the vibrations generated by the FGM plates, thus influencing their overall behavior in terms of resonance, damping, and dynamic response. The plate is considered to be simply supported along its perimeter, and the equations of motion are developed using the principle of energy minimization, with solutions derived using the Navier technique. The results of this study provide valuable insights for optimizing structures in terms of vibrational performance across various application fields, such as aerospace, automotive, and other sectors where vibration reduction and fatigue resistance are crucial. In conclusion, this research enriches the understanding of the complex interactions between material properties, structural geometry, and support conditions. It also explores the effect of the porosity index, the length-to-thickness ratio (h/a), and the material index (p), paving the way for potential innovations in the design of more efficient and resilient materials and structures against vibrations