TJ89 : The Analytical Solution of Nonhomogenous Disks with Variable Thickness under Mechanical and Thermal Loading
Thesis > Central Library of Shahrood University > Mechanical Engineering > MSc > 2011
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Abstarct: The rotating disk due to many applications in industry that has long been subjects of researchs and studies. The rotating disk can be used in gas turbine disks, flywheels, gears and brake disks. The analytical formulas presented in this research can help optimize the design of disks in various industries.
In this study, using the plane elasticity theory and plane stress conditions, the thermoelastic equation governing for nonhomogeneous rotating disk with variable thickness and temperature dependent properties is presented. Modeling of FG materials and changes in thickness can be used exponential and power functions and the governing equation is solved.
If the exponential function for the thickness changes or the distribution function of properties is selected, The heat transfer equation governing the disk is not an exact solution. in this conditions from semi-analytical or analytical methods have been used and for validation results. displacement and stresses have been compared to the numerical solution. Using the results under mechanical and thermal loads according to its properties and loading are examined.
The results show that increasing thickness in the inner radius of the disk and the functionally graded material, reducing the maximum stress due to thermal and rotational loading, but the maximum stress due to internal pressure is increased. It also maximum stresses of power functions in thermal and rotational loading is greater than exponential function, but at internal pressure condition the maximum stress of exponential functions is greater than power functions.
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