A multi-physics coupling formulation for vibro-acoustic analysis of FGMEE plates

Functionally graded magneto-electro-elastic (FGMEE) materials have enormous application potential in vibroacoustic control due to multi -physics coupling effects, and rectangular plates widely used in engineering fields provide carriers for smart materials. This paper establishes a quadruple physics coupling model to reveal the forced vibro-acoustic performance of FGMEE plates immersed in semi -infinite heavy fluid for the first time. The proposed collocation points method paves a new path to bypass the complex four -fold integral introduced by calculating vibro-acoustic coupling work through Rayleigh integral. Using a predetermined rule to regulate the distribution of components. Boundary constraints are implemented adopting virtual springs. A vibration framework is constructed based on the MEE constitutive equation and the first -order shear deformation theory (FSDT). The multi -physical fields are uniformly described by Chebyshev polynomials, and coupled via RayleighRitz method. It is found that the influence of external magnetic potential and electric voltage on FGMEE plates is opposite. Also, the frequency curves changing with power -law exponent exhibits two completely opposite trends under different magneto -electric loads. This work is considered to lay a theoretical platform for further in-depth research on vibro-acoustics of such structures, and the results may be helpful for future design and optimization of FGMEE-based smart structures.