Volume 16, Issue 2
Application of 2-D GDQ Method to Analysis a Thick FG Rotating Disk with Arbitrarily Variable Thickness and Non-Uniform Boundary Conditions

Adv. Appl. Math. Mech., 16 (2024), pp. 373-397.

Published online: 2024-01

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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.

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@Article{AAMM-16-373, author = {Zharfi , Hodais}, title = {Application of 2-D GDQ Method to Analysis a Thick FG Rotating Disk with Arbitrarily Variable Thickness and Non-Uniform Boundary Conditions}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2024}, volume = {16}, number = {2}, pages = {373--397}, abstract = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2021-0237}, url = {http://global-sci.org/intro/article_detail/aamm/22336.html} }
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 -

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.

Hodais Zharfi. (2024). Application of 2-D GDQ Method to Analysis a Thick FG Rotating Disk with Arbitrarily Variable Thickness and Non-Uniform Boundary Conditions. Advances in Applied Mathematics and Mechanics. 16 (2). 373-397. doi:10.4208/aamm.OA-2021-0237
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