The effect of ceramic in combinations of two sigmoid functionally graded rotating disks with variable thickness

2012 ◽  
Vol 7 (25) ◽  
Author(s):  
Aidy Ali
Keyword(s):  
Variable Thickness ◽  
Functionally Graded ◽  
Rotating Disks

THE EFFECT OF CERAMIC IN COMBINATION OF TWO SIGMOID FUNCTIONALLY GRADED ROTATING DISKS WITH VARIABLE THICKNESS

2012 ◽  
Vol 09 (02) ◽  
pp. 1240029 ◽  
Author(s):  
M. BAYAT ◽  
B. B. SAHARI ◽  
M. SALEEM
Keyword(s):  
Variable Thickness ◽  
Functionally Graded ◽  
Rotating Disks ◽  
Thickness Profile ◽  
Metal Ceramic ◽  
Graded Material ◽  
The One ◽  
Rotating Load ◽  
Power Law Distributions ◽  
Different Thickness

This paper presents elastic solutions of a disk made of functionally graded material (FGM) with variable thickness subjected to rotating load. The material properties are represented by combination of two sigmoid FGM (S-FGM) namely aluminum–ceramic–aluminum and the disk's different thickness profiles are assumed to be represented by power law distributions. Hollow disks are considered and the solutions for the displacements and stresses are given under appropriate boundary conditions. The effects of the material grading index n and the geometry of the disk on the displacements and stresses are investigated. The results are compared with the known results in the literature on metal–ceramic–metal FGMs. Also the solutions are compared S-FGM versus FGM and non FGM and variable thickness versus uniform thickness. It is found that a sigmoid functionally graded disk with concave thickness profile has smaller displacements and stresses compared with concave or linear thickness profile. It is also observed that an S-FGM rotating functionally graded disk with metal–ceramic–metal combination can be more efficient than the one with ceramic–metal or metal–ceramic.

scholarly journals Analysis of functionally graded rotating disks with variable thickness

2008 ◽  
Vol 35 (5) ◽  
pp. 283-309 ◽  
Author(s):  
Mehdi Bayat ◽  
M. Saleem ◽  
B.B. Sahari ◽  
A.M.S. Hamouda ◽  
E. Mahdi
Keyword(s):  
Variable Thickness ◽  
Functionally Graded ◽  
Rotating Disks

scholarly journals Stress and Deformation Analysis of Clamped Functionally graded Rotating Disks with Variable Thickness

2019 ◽  
Vol 23 (1) ◽  
pp. 202-211 ◽  
Author(s):  
Amit K. Thawait ◽  
Lakshman Sondhi ◽  
Shubhashis Sanyal ◽  
Shubhankar Bhowmick
Keyword(s):  
Variable Thickness ◽  
Volume Fraction ◽  
Rotating Disk ◽  
Functionally Graded ◽  
Deformation Analysis ◽  
Rotating Disks ◽  
Distribution Law ◽  
Linear Elastic ◽  
Disk Material ◽  
Stress And Deformation

Abstract The present study reports the linear elastic analysis of variable thickness functionally graded rotating disks. Disk material is graded radially by varying the volume fraction ratios of the constituent components. Three types of distribution laws, namely power law, exponential law and Mori–Tanaka scheme are considered on a concave thickness profile rotating disk, and the resulting deformation and stresses are evaluated for clamped-free boundary condition. The investigation is carried out using element based grading of material properties on the discretized elements. The effect of grading on deformation and stresses is investigated for each type of material distribution law. Further, a comparison is made between different types of distributions. The results obtained show that in a rotating disk, the deformation and stress fields can be controlled by the distribution law and grading parameter n of the volume fraction ratio.

Exact solution for free vibration analysis of linearly varying thickness FGM plate using Galerkin-Vlasov’s method

2020 ◽  
pp. 146442072098049
Author(s):  
V Kumar ◽  
SJ Singh ◽  
VH Saran ◽  
SP Harsha
Keyword(s):  
Free Vibration ◽  
Variable Thickness ◽  
Vibration Analysis ◽  
Shear Deformation Theory ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Constant Thickness ◽  
Engineering Structures ◽  
Property Variation ◽  
Varying Thickness

The present paper investigates the free vibration analysis for functionally graded material plates of linearly varying thickness. A non-polynomial higher order shear deformation theory is used, which is based on inverse hyperbolic shape function for the tapered FGM plate. Three different types of material gradation laws, specifically: a power (P-FGM), exponential (E-FGM), and sigmoid law (S-FGM) are used to calculate the property variation in the thickness direction of FGM plate. The variational principle has been applied to derive the governing differential equation for the plates. Non-dimensional frequencies have been evaluated by considering the semi-analytical approach viz. Galerkin-Vlasov’s method. The accuracy of the preceding formulation has been validated through numerical examples consisting of constant thickness and tapered (variable thickness) plates. The findings obtained by this method are found to be in close agreement with the published results. Parametric studies are then explored for different geometric parameters like taper ratio and boundary conditions. It is deduced that the frequency parameter is maximum for S-FGM tapered plate as compared to E- and P-FGM tapered plate. Consequently, it is concluded that the S-FGM tapered plate is suitable for those engineering structures that are subjected to huge excitations to avoid resonance conditions. In addition, it is found that the taper ratio is significantly affected by the type of constraints on the edges of the tapered FGM plate. Some novel results for FGM plate with variable thickness are also computed that can be used as benchmark results for future reference.

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