Active vibration control of functionally graded material plates integrated with piezoelectric layers using new Q9ɤ approach

Abstract

Abstract A new efficient approach has been developed to simulate the free vibration, static, dynamic response and active control of functionally graded material (FGM) plates with integrated piezoelectric layers. This approach reinforces the standard first-order shear deformation theory by introducing a novel shear strain fields, alleviating the problem of shear locking, especially in the analysis of thin structures. These new fields accurately predict the shear strain fields, satisfying both compatibility and equilibrium equations while requiring less mesh refinement. Furthermore, this current approach provides higher performance and precision in analysing FGM structures. Additionally, a feedback control system has been implemented using either total piezoelectric layers or partial covering (patch) as actuators and sensors in both static bending control and dynamic vibration control analysis. The present work strengthens the basic techniques for further research in finite element analysis across a broader spectrum of materials and applications.