Dynamic equations for solid isotropic radially functionally graded circular cylinders
Journal article, 2018

A hierarchy of dynamic equations for solid isotropic functionally graded circular cylinders is derived based on the three dimensional elastodynamic theory. The material parameters are assumed to vary in the radial direction. Using Fourier expansions in the circumferential direction and power series expansions in the radial direction, equations of motion are obtained for longitudinal, torsional, flexural and higher order motion to arbitrary Fourier and power orders. Numerical examples for eigenfrequencies and plots on mode shapes and stress distributions curves are presented for simply supported cylinders for different material distributions. The results illustrate that the present approach renders benchmark solutions provided higher order truncations are used, and act as engineering cylinder equations using low order truncation.

Series expansion



Functionally graded

Beam equation


Hossein Abadikhah

Chalmers, Mechanics and Maritime Sciences, Dynamics

Peter Folkow

Chalmers, Mechanics and Maritime Sciences, Dynamics

Composite Structures

0263-8223 (ISSN)

Vol. 195 147-157

Subject Categories

Applied Mechanics

Areas of Advance

Materials Science



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Latest update

5/8/2018 6