Analytical and Numerical Bending Solutions for Thermoelastic Functionally Graded Rotating Disks with Nonuniform Thickness Based on Mindlin’s Theory

• Main Authors: A. Hassani, M. Gholami
• Format: Article
• Language: English
• Published: Bu-Ali Sina University 2017-09-01
• Series: Journal of Stress Analysis
• Subjects: Uniform thickness functionally graded rotating disk; Thermoelastic bending loading; Homotopy analysis method; Adomian’s decomposition method
• Online Access: https://jrstan.basu.ac.ir/article_2009_877fd8e3ab5dbdfa2435781d63857d2d.pdf

In this paper, analytical and numerical solutions for thermoelastic functionally graded (FG) rotating disks with non-uniform thickness under lateral pressure are studied. The study is performed based on Mindlin’s theory. Considering the fact that bending and thermal loadings in analysis of rotating disk are necessary to study the components such as brake and clutch disks. The governing differential equations arising from FG rotating disk are firstly extracted. Then, Liao’s homotopy analysis method (HAM) and Adomian’s decomposition method (ADM) are applied as two analytical approaches. Calculation of stress components and then comparison of the results of HAM and ADM with Runge-Kutta’s and FEM are performed to survey compatibility of their results. The distributions of radial and circumferential stresses of rotating disks are studied and discussed. Finaly, the effects of temperature, grading index, angular velocity and lateral loading on the components of displacement and stresses are presented and discussed, in detail.