Akademik Veri Yönetim Sistemi
Journal of Structural Engineering & Applied Mechanics, cilt.2, sa.4, ss.190-206, 2019 (Hakemli Dergi)
A graded harmonic solid ring finite element model (FEM) is developed from the three-dimensional theory
of elasticity using Fourier series expansion in circumferential direction to investigate free vibration
characteristics of functionally graded (FG) thin and thick-walled cylinders parametrically. The mechanical
properties of the finite length FG cylinders composed of metal (stainless steel) and ceramic (silicon nitride)
are assumed to vary in radial direction according to a power law variation as a function of the volume
fractions of the constituents. The frequency characteristics of the FG cylinders depending on various
parameters such as circumferential harmonic number, power law exponent, thickness to radius ratio, length
to radius ratio, and constituent material configuration are investigated through numerical simulations. When
the graded harmonic model is compared with the previous models in the literature the agreements are found
to be excellent. Also, a reduction in computational effort is provided using a smaller number of graded
elements required for a fair estimation of vibrational behavior of such axisymmetric structures. As far as the
numerical results are considered it is observed that thin and thick-walled cylinders behave in a different way
for increasing circumferential harmonic number. The influence of the power law exponent on the frequency
depends on the constituent material position and it does not affect the circumferential harmonic number at
which the fundamental natural frequency occurs. As a conclusion, it can be stated that the free vibration
behavior of FG cylinders can be regulated arbitrarily by altering material configuration and power law
function as well as geometrical parameters.