Abstract
Functionally graded magneto-electro-elastic (FGMEE) materials have enormous application potential in vibro-acoustic 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 Rayleigh-Ritz 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.
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