Application of a semi-analytical method to the dynamic analysis of functionally graded porous conical–conical–cylindrical shell

The dynamic response characteristics of a coupled, functionally graded porous conical–conical–cylindrical shell (FGP-CCCS) with arbitrary boundary conditions are investigated using semi-analytical method in this research. individual shells firmly connected at the interface. It is assumed that FGP-CCCS made three types FGP materials uniform or non-uniform distribution porosity along thickness direction. overall theoretical model for analysis established based on first-order shear deformation theory. All displacement components shells, including conditions, expanded meridian direction into Chebyshev polynomial and circumferential standard Fourier series. By applying Rayleigh–Ritz to determination expansion coefficient, unified solution derived directly without need change equation motion functions. reliability accuracy verified comparison results literature finite element method. New numerical examples presented illustrate FGP-CCCS, effects geometrical, material parameters external forces different reported.