Journal of Vibration Engineering and Technologies, cilt.13, sa.6, 2025 (SCI-Expanded)
Introduction: This study investigates the sound radiation and phase velocity characteristics of functionally graded (FG) bio-composite annular plates using a quasi-3D refined theory. Methods: The advanced higher-order model captures through-thickness deformation effects, accurately representing both transverse shear deformation and normal strain without requiring a shear correction factor. The governing equations of motion are derived via Hamilton's principle, ensuring a variationally consistent formulation. Solution: A hybrid solution strategy combining discrete singular convolution (DSC) and an analytical method is proposed to achieve both numerical efficiency and accuracy. The DSC approach offers enhanced stability in resolving high-order spatial derivatives, while the analytical method enables robust modal analysis for evaluating phase velocity in FG bio-composite annular plates. This integrated framework yields comprehensive insights into the dispersion behavior of wave propagation in advanced materials. Results: The influences of gradient index, boundary conditions, and geometric parameters on phase velocity dispersion are systematically analyzed. Results confirm the improved accuracy of the quasi-3D refined theory in predicting wave characteristics compared to classical and first-order shear deformation theories. These findings support the development of FG bio-composite structures for biomedical and aerospace applications by improving predictive capabilities for wave propagation and acoustic radiation. Overall, the study demonstrates the efficacy of the combined DSC–analytical approach in modeling complex wave behavior, contributing to future research on the dynamic responses of advanced composite structures.