UNCERTAINTY-AWARE VIBRATION CONTROL IN LAMINATED COMPOSITE STRUCTURES: A COMPREHENSIVE REVIEW

This paper presents a comprehensive review of recent advancements in the vibration control of laminated composite structures, with a specific focus on studies that account for the presence of damage and material uncertainties. Given the inherent flexibility and critical applications of these structures, effective vibration suppression is paramount. The review systematically examines the foundational laminate theories employed in modeling, including Classical Laminate Theory, First-Order Shear Deformation Theory,and Higher-Order Shear Deformation Theories. It further delves into the prevailing vibration control strategies, categorizing them into active, passive, and hybrid methods, and discussing their respective advantages and limitations. The governing equations of motion and associated boundary conditions, derived from fundamental principles such as Hamilton's principle and the Euler-Lagrange equation are also summarized. A significant portion of this review is dedicated to analyzing contemporary studies on the vibration control of real-world structures in aerospace, naval, and civil engineering (e.g., bridges). The synthesis focuses on the methodologies used to determine critical system parameters like damping ratios, achieve system stabilization, and characterize mode shapes under conditions of uncertainty and damage. Finally, the paper concludes by identifying key research gaps and proposing potential directions for future work in this evolving field.