Buckling, free vibration, dynamic instability and flutter of variable stiffness composite laminated plates with magneto-electro-elastic face sheets
摘要
The present study aims to analyze the buckling, free vibration, dynamic instability, and flutter characteristics of innovative variable stiffness composite laminated plates with magneto-electro-elastic (VSCL-MEE) face sheets, utilizing a reliable and validated isogeometric analysis (IGA) framework. On the basis of the generalized higher-order shear deformation theory, Maxwell’s equations, first-order piston theory and magneto-electro-elasticity, the weak form for the governing equations of motion are established according to Hamilton’s principle. The unknown displacements, electric and magnetic potentials are subsequently discretized by IGA approximation, leading to the discretized governing equations of motion for the VSCL-MEE plates. The buckling, free vibration, and flutter behaviors are determined directly by solving the corresponding characteristic equations, while the dynamic instability regions are identified using the Bolotin method. Several benchmark examples on free vibration of MEE plates, dynamic instability of isotropic plates and free vibration of VSCL plates are provided to make sure the correctness of present formulation and computational framework. In numerical investigation, three patterns of stacking sequences of the VSCL core are analyzed that constructed on the basis of the straight fiber configurations of unidirectional, symmetrically balanced and quasi-isotropic laminates. The numerical results demonstrate that the ply orientations, stacking sequence patterns, MEE layer thicknesses, and plate dimensions significantly influence the buckling, free vibration, dynamic instability, and flutter responses of VSCL-MEE plates. In summary, the proposed sandwich structure presents a lightweight, adaptive, and self-aware system, ideally suited for pioneering applications in smart morphing wings, high-speed robotic arms, and intelligent wind turbine blades.