# PENYELESAIAN PENDEKATAN PROBLEM KONTAK HERTZIAN PADA KASUS KONTAK ANTARA RODA DAN REL

## Penulis

• I. M Parwata
• I. W Puja
• B Budiwantoro
• S. S Brodjonegoro

## Abstrak

In this paper, an approach of the formulation for Hertzian contact problem between wheel and rail is presented. This formulation used analytic and numerical approach, especially in solving elliptic integrals in order to obtain dimension relations of the contact, deformation, contact pressure and stress contours. The main curvature radius range of the smaller rail are from 300-260 mm. Modeling with finite element solution was also performed as an alternative approach solution to the contact pressure. Besides, it is with Finite Element Method (FEM) can show the contact stress distribution and the influence of contact at a certain depth. The result of this formulation and Finite Element approach are compared with the model equation by Fischer and Wiest [1] and the exact value calculated by Hertz's equation [2]. The results showed that the calculation of the contact dimensions and maximum contact pressure give more conform results. The difference results obtained by the method of Hertz are between 1.47-2.37% for the maximum contact pressure and 2.45-3.02% for the major axis the ellipse. The difference results using finite element method also gives conforming results of 0.09-3.5% for the maximum contact pressure.

## Referensi

Fischer, F.D., and Wiest, M., Approximate Analytical Model for Hertzian Elliptical Wheel/Rail or Wheel/Crossing Contact Problems, ASME Journal of Tribology, Vol.130, 1-3, 2008

Garg, V.K., and Dukkipati, R.V., Dynamics of Railway Vehicle Systems, Academic Press Canada, Ontario, 106-107, 1984

Johnson, K.L., Contact Mechanics, Cambridge University Press, Cambridge, 85-106, 1985

Brewe, D.E., and Hamrock B.J., Simplified solution for elliptical contact deformation between two elastic solids, ASME Journal of Lubrication Technology, Vol.99, 485-387, 1977

Greenwood, J.A., Analysis of elliptical Hertzian, Tribology International, Vol.30, 235-237, 1997

Hamrock, B.J. and Brewe, D.E., Simplified solution for stresses and deformations, ASME Journal of Lubrication Technology, Vol.105, 171-177, 1983

Tanaka, N., A New Calculation Method of Hertz Elliptical Contact Pressure, ASME Journal of Tribology, Vol.123, 887-889, 2001

Antoine, J.F., Visa, C., Sauvey, C. and Abba, G., Approximate Analytical Model for Hertzian Elliptical Contact Problems, ASME Journal of Tribology, Vol.128, 660-664, 2006

Liu, Y., Liu, L., and Mahadevan, S., Analysis of subsurface crack propagation under rolling contact loading in railroad wheels using FEM, Engineering Fracture Mechanics, Vol.74, 2659-2674, 2007

Hanson, M.T., and Puja, IGN W., The Elastic Field Resulting from Elliptical Hertzian Contact of Transversely Isotropic Bodies: Closed Form Solutions for Normal and shear Loading, ASME Journal of Applied Mechanics, Vol.64, 457-465, 1997

Liu, S.B., Peyronnel, A., Wang, Q.J. and Keer, L.M., An extension of the Hertz theory for three-dimensional coated bodies, Tribology Letters, Vol.18, 303-314, 2005

Iwnicki, S., Handbook of Railway Vehicle Dynamics, CRC Press Taylor & Francis Group, Boca Raton, 88-92, 2006

Telliskivi, T., and Olofsson, U., Contact mechanics analysis of measured wheel-rail profiles using the finite element method, J. Rail Rapid Transit, Vol.215, 65-72, 2000

Sladkowski, M.S., Analysis of wheel-rail interaction using FE software, Wear, Vol.258, 1217-1223, 2005

Wiest, M., Kassa, E., Davesa, X.V., Nielsen, J.C.O. and Ossberger, H., Assessment of methods for calculating contact pressure in wheel-rail/switch contact, Wear, Vol.265, 1439-1445, 2008

2017-05-15

## Cara Mengutip

Parwata, I. M., Puja, I. W., Budiwantoro, B., & Brodjonegoro, S. S. (2017). PENYELESAIAN PENDEKATAN PROBLEM KONTAK HERTZIAN PADA KASUS KONTAK ANTARA RODA DAN REL. Mesin, 24(1), 25-40. Diambil dari https://journals.itb.ac.id/index.php/jtms/article/view/4987

Articles