Vibration Analysis of FGM Coupled Structure by the Unified Power Series Method with Wave Based Approach

This study proposes the wave-based method to investigate the vibration characteristics of functionally graded material (FGM) conical-cylindrical shells and cylindrical shell-annular plate coupled structures.

A unified analytical model is first developed for FGM cylindrical shells, conical shells, and annular plates. The displacement fields are formulated using power series expansions. A wave-based matrix is then constructed to relate displacements and forces under various coupling conditions. The global dynamic matrix of the FGM coupled structure is assembled using the wave-based approach.

The accuracy and stability of the proposed model are verified by comparing natural frequencies, mode shapes, and frequency responses with finite element method (FEM) results.

Numerical examples demonstrate the effects of geometric and material parameters on the natural frequencies and dynamic behavior of FGM coupled structures, offering insights for structural design and optimization.