Indian Journal of Science and Technology

Open Access Open Access  Restricted Access Subscription Access

Effects of Geometric Factors and Material Properties on Stress Behavior in Rotating Disk


Affiliations
1 Department of Mechanical Engineering, Zanjan Branch, Islamic Azad University, Zanjan, Iran, Islamic Republic of
2 Department of Mechanical Engineering, Sharif University of Technology, PO Box 11365-9567,Tehran, Iran, Islamic Republic of
3 Department of Mechanical Engineering, Majlesi Branch, Islamic Azad University, Isfahan, Iran, Islamic Republic of
4 School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran, Islamic Republic of
 

In this study, effects of geometric factors and material properties are investigated on stress behavior of circular rotating disk with constant rotation in various industrial mechanisms using equilibrium equations, geometric relations and stress functions. In this way, research on a thin uniform and homogeneous circular disk under constant rotation is considered. The rotating motion produces centrifugal acceleration on each element of the rotating disk, and this rotating motion becomes the source of external loading for the mentioned problem. Additional exterior loadings are not assumed in this problem. It is comfortable to handle the centrifugal force loading by relating it to a body force density via the disk in order to increase strength (maximum stress) of circular rotating disk. Eventually, stress behavior of rotating disk is analyzed with considering geometric factors and material properties analytically. Finally, it is concluded that the mentioned factors affect on increasing and decreasing stress values of circular rotating disk under constant rotation.

Keywords

Centrifugal Acceleration, Equilibrium Equations, Rotating Disk
User

  • Ehrenfest P. Uniform rotation of rigid bodies and the theory of relativity. Physikalische Zeitschrift. 1909; vol 10(1):918.

  • Yuan ZX, Luo CJA, YAn X. Airflow pressure and shear forces on a rotating, deformed disk in an open shroud. Comm Nonlinear Sci Numer Simulat. 2004; 9(5): 481–497.

  • Bayat M, Saleem M, Sahari BB, Hamouda AMS, Mahdi E. Analysis of functionally graded rotating disks with variable thickness. Mech Res Comm. 2008; 35(5):283–309.

  • Hojjati MH, Hassani A. Theoretical and numerical analyses of rotating discs of non–uniform thickness and density. Int J Pres Ves Pip. 2008; 85(10):694–700.

  • Hojjati MH and Jafari S. Semi–exact solution of elastic non–uniform thickness and density rotating disks by homotopy perturbation and Adomian’s decomposition methods, Part I: elastic solution. Int J Pres Ves Pip. 2008; 85(12):871–878.

  • Turkyilmazoglu M. Analytic approximate solutions of rotating disk boundary layer flow subject to a uniform suction or injection. Int J Mech Sci. 2010; 52(12):1735–1744.

  • Turkyilmazoglu M. Purely analytic solutions of magneto hydrodynamic swirling boundary layer flow over a porous rotating disk. Computers and Fluids. 2010; 39(5):793–799.

  • Jafari S, Hojjati MH, Fathi A. Classical and modern optimization methods in minimum weight design of elastic rotating disk with variable thickness and density. Int J Pres Ves Pip. 2012; 92:41–47.

  • Peng XL and Li XF. Elastic analysis of rotating functionally graded polar orthotropic disks. Int J Mech Sci. 2012; 60(1):84–91.

  • EkhteraeiToussi H, RezaeiFarimani M. Elasto–plastic deformation analysis of rotating disc beyond its limit speed. Int J Pres Ves Pip. 2012; 89:170–177.

  • Itoh M, Yamada Y, Imao S, Gonda M. Experiments on turbulent flow due to an enclosed rotating disk. Exp Therm Fluid Sci. 1992; 5(3):359–368.

  • Gan XP, MacGregor SA. Experimental study of the flow in the cavity between rotating disks. Exp Therm Fluid Sci. 1995; 10(3):379–387.

  • Morís MA, Díez FV, Coca J. Hydrodynamics of a rotating disc contactor. Separ Purif Tech. 1997; 11(2):79–92.

  • Kolokotsa D, Yanniotis S. Experimental study of the boiling mechanism of a liquid film flowing on the surface of a rotating disc. Exp Therm Fluid Sci. 2010; 34(8):1346–1352.

  • Monfared V, Khalili MR. Investigation of relations between atomic number and composition weight ratio in PZT and SMA and prediction of mechanical behavior. Acta Physica Polonica Series A. 2011; 120(3):424–428.

  • Monfared V. A new analytical formulation for contact stress and prediction of crack propagation path in rolling bodies and comparing with Finite Element Model (FEM) results statically. Int J Phys Sci. 2011; 6(15):3613–3618.

  • Ersoy VH. An approximate solution for flow between two disks rotating about distinct axes at different speeds. Math Probl Eng. 2007; 2007:1–16.

  • Sheikholeslami M, Ashorynejad HR, Ganji DD, Kolahdooz A. Investigation of rotating MHD viscous flow and heat transfer between stretching and porous surfaces using analytical method. Math Probl Eng. 2011; 2011:1–17.

  • Sheikholeslami M, Ashorynejad HR, Domairry G, Hashim I. Flow and heat transfer of Cu–water nano fluid between a stretching sheet and a porous surface in a rotating system. J Appl Math. 2012; 2012:1–18.

  • Pandya JU. The solution of a coupled nonlinear system arising in a three–dimensional rotating flow using spline method, Int J Math Math Sci. 2012; 2012:1–12.

  • Grote KH and Antonsson EK. Springer Handbook of Mechanical Engineering, Chapter 1, New York, USA: Springer Science Publications; 2009.

  • Goodarzian H, Ghobadi M, Farahabadi MA, Mohammadnezhad H, Hejazi SS. An investigation of nonlinear KdV type equations using HPM and VIM. Indian Journal of Science and Technology. 2011; 4(8):952–956.

  • Nikkhoo A, Amankhani M. Dynamic behavior of functionally graded beams traversed by a moving random load. Indian Journal of Science and Technology. 2012; 5(12):3727–3731.

  • Haghighi A R, Ghejlo H H, Asghari N. Explicit and implicit methods for fractional diffusion equations with the riesz fractional derivative. Indian Journal of Science and Technology. 2013; 6(7):4881–4885.

  • Srinivasan V. Analysis of static and dynamic load on hydrostatic bearing with variable viscosity and pressure. Indian Journal of Science and Technology. 2013; 6(6):4777–4782.

  • Anbazhagan R, Satheesh B, Gopalakrishnan K. Mathematical modeling and simulation of modern cars in the role of stability analysis. Indian Journal of Science and Technology. 2013; 6(5):4633–4641.

  • Loonker D and Banerji PK. Distributional dual series equations and fractional calculus. Indian Journal of Science and Technology. 2013; 6(1):3892–3897.

  • El–Marouf SAA. On some generalizations of the hilbert–hardy type integral inequalities. Indian Journal of Science and Technology. 2013; 6(2):4098–4111.

  • Available from: www.matweb.com


Abstract Views: 448

PDF Views: 0




  • Effects of Geometric Factors and Material Properties on Stress Behavior in Rotating Disk

Abstract Views: 448  |  PDF Views: 0

Authors

Vahid Monfared
Department of Mechanical Engineering, Zanjan Branch, Islamic Azad University, Zanjan, Iran, Islamic Republic of
Mohammadhassan Hassan
Department of Mechanical Engineering, Sharif University of Technology, PO Box 11365-9567,Tehran, Iran, Islamic Republic of
Saeed Daneshmand
Department of Mechanical Engineering, Majlesi Branch, Islamic Azad University, Isfahan, Iran, Islamic Republic of
Farshad Taheran
School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran, Islamic Republic of
Reza Ghaffarivardavagh
School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran, Islamic Republic of

Abstract


In this study, effects of geometric factors and material properties are investigated on stress behavior of circular rotating disk with constant rotation in various industrial mechanisms using equilibrium equations, geometric relations and stress functions. In this way, research on a thin uniform and homogeneous circular disk under constant rotation is considered. The rotating motion produces centrifugal acceleration on each element of the rotating disk, and this rotating motion becomes the source of external loading for the mentioned problem. Additional exterior loadings are not assumed in this problem. It is comfortable to handle the centrifugal force loading by relating it to a body force density via the disk in order to increase strength (maximum stress) of circular rotating disk. Eventually, stress behavior of rotating disk is analyzed with considering geometric factors and material properties analytically. Finally, it is concluded that the mentioned factors affect on increasing and decreasing stress values of circular rotating disk under constant rotation.

Keywords


Centrifugal Acceleration, Equilibrium Equations, Rotating Disk

References





DOI: https://doi.org/10.17485/ijst%2F2014%2Fv7i1%2F46672