TY - JOUR
T1 - Application of 2-D GDQ Method to Analysis a Thick FG Rotating Disk with Arbitrarily Variable Thickness and Non-Uniform Boundary Conditions
AU - Zharfi , Hodais
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 373
EP - 397
PY - 2024
DA - 2024/01
SN - 16
DO - http://doi.org/10.4208/aamm.OA-2021-0237
UR - https://global-sci.org/intro/article_detail/aamm/22336.html
KW - Thick rotating disk, FG material, 2-D GDQ, variable thickness, profile shape, non-uniform boundary condition, 2-D material gradient.
AB - <p style="text-align: justify;">In this paper two-dimensional differential quadrature method has been used
to analyze thick Functionally Graded (FG) rotating disks with non-uniform boundary
conditions and variable thickness. Material properties vary continuously along both
radial and axial directions by a power law pattern. Three-dimensional solid mechanics
theory is employed to formulate the axisymmetric problem as a second order system
of partial differential equations. The non-uniform boundary conditions are exerted directly into the governing equations to reach the eigenvalue system of equations. Four
different disk profile shapes are considered and discussed. The effect of the power
law exponent is also investigated and results show that by the use of material which
functionally varied along the radial and especially axial directions the stresses and
strains can be controlled so the capability of the disk is increased. Comparison with
other available approaches in the literature shows a good agreement here in terms of
computational time, robustness and accuracy of the present method. Moreover, novel
applications are shown to provide results for further studies on the same topics.</p>