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Role of Exponential and Power Law formulations in Contact Stress


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
5 Department of Industrial Intelligence Research Group. ACECR, Zanjan Branch, Iran, Islamic Republic of
 

Analyzing contact stress in rails and wheels are very important in mechanical and railway engineering. In this paper, new formulations of the contact stress are presented for two rolling bodies by exponential and power law forms semi- analytically. Innovative elastic wheel-rail contact models and FE Modeling are proposed. The present model assumes the collection of rail and wheel as elastic deformable bodies and needs numerical and novel analytical solutions. Results of this work are close to the Hertz Stress, previous published work and FEM results, in which good agreements are found among the results. So, we can rely on this method and their results. With this approach, suitable results will be achieved. Important novelty of this research is presentation of new analytical formulations in the Power Law (PL) and Exponential Forms (EF) for obtaining contact stress in the rolling bodies.

Keywords

Contact Stress, Exponential and Power Law Forms, Hertz’s Elliptic Rolling Bodies
User

  • Smith JO, Liu CK. Stresses due to tangential and normal loads on an elastic solid with application to some contact stress problems. J. Appl. Mech. 1953; 20(2):157–166.
  • Haines DJ, Ollerton E. Contact stress distribution on elliptical contact surfaces subjected to radial and tangential forces Proc. Inst. Mech. Eng. 1963; 177(4):45–54.
  • Sackfield A, Hills DA. Some useful results in the classical Hertz contact problem. J. Strain. Anal. 1983; 18(2):101–105.
  • Ertz M, Knothe K. A comparison of analytical and numerical methods for the calculation of temperatures in wheel/rail contact. Wear. 2002; 253(3–4):498–508.
  • Baek KS, Kyogoku K, Nakahara T. An experimental investigation of transient traction characteristics in rolling–sliding wheel/rail contacts under dry–wet conditions. Wear. 2007; 263(1–6):169–179.
  • Donzella G, Petrogalli C. A failure assessment diagram for components subjected to rolling contact loading. Int. J. Fatigue. 2010; 32(2):256–268.
  • Roviraa A, Rodaa A, Marshall MB, Brunskill H, Lewis R. Experimental and numerical modelling of wheel–rail contact and wear. Wear. 2011; 271:911–924.
  • Sladkowski A, Sitarz M. Analysis of wheel–rail interaction using FE software. Wear. 2005; 258:1217–1223.
  • Monfared V. Contact stress analysis in rolling bodies by Finite Element Method (FEM) Statically. J. Mech. Eng. Aut. 2011; 2(2):12–16.
  • Vasauskas V, Bazaras Ž, Capas V. Strength anisotropy of railway wheels under contact load. Mechanika. 2005; 1(51):31–38.
  • Wen Z, Wu L, Li W, Jin X, Zhu M. Three-dimensional elastic–plastic stress analysis of wheel–rail rolling contact. Wear. 2011; 271:426–436.
  • 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.
  • Arslan MA, Kayabasi O. 3-D Rail–Wheel contact analysis using FEA. Adv. Eng. Softw. 2012; 45:325–331.
  • 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; 4:952–956.
  • 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 AR, Ghejlo HH, 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, 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.

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  • Role of Exponential and Power Law formulations in Contact Stress

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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
Amirhossein Monfared
Department of Industrial Intelligence Research Group. ACECR, Zanjan Branch, Iran, Islamic Republic of

Abstract


Analyzing contact stress in rails and wheels are very important in mechanical and railway engineering. In this paper, new formulations of the contact stress are presented for two rolling bodies by exponential and power law forms semi- analytically. Innovative elastic wheel-rail contact models and FE Modeling are proposed. The present model assumes the collection of rail and wheel as elastic deformable bodies and needs numerical and novel analytical solutions. Results of this work are close to the Hertz Stress, previous published work and FEM results, in which good agreements are found among the results. So, we can rely on this method and their results. With this approach, suitable results will be achieved. Important novelty of this research is presentation of new analytical formulations in the Power Law (PL) and Exponential Forms (EF) for obtaining contact stress in the rolling bodies.

Keywords


Contact Stress, Exponential and Power Law Forms, Hertz’s Elliptic Rolling Bodies

References





DOI: https://doi.org/10.17485/ijst%2F2014%2Fv7i1%2F46673