The three-dimensional solution of the stresses and strains in the contact region of a rolling wheel which carries normal, lateral and tangential loads is sought. Because of the complexity of the general problem a preliminary step has been to seek the solution for two spheres of similar material rolling on each other. The approach has been to divide the 'locked' region into a grid of n cells formed by fixed circular grid lines and variable grid lines which have a shape similar to an assumed shape for the boundary between the 'locked' and 'slipped' regions. The equations and boundary conditions were formulated and a computer program solves 2n simultaneous equations to find the stress distributions. If all boundary conditions are not satisfied by the solution the computer program shifts the grid points according to an error criterion and reiterates the solution. The results were encouraging although the final solution is not yet available. The results for the two spheres can be extended to the case of a wheel rolling on a surface of dissimilar material. This solution is of considerable importance for high speed rail travel because forward and sidewise creep (which are vital parameters in stability calculations) and rolling stresses (fatigue, etc.) can be calculated from the complete picture of stresses and strains in the region. (Author)

  • Corporate Authors:

    Massachusetts Institute of Technology

    Engineering Projects Laboratory
    Cambridge, MA  United States 
  • Authors:
    • Paul, I L
    • Nayak, P R
  • Publication Date: 1966-11-1

Media Info

  • Pagination: 43 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00039068
  • Record Type: Publication
  • Source Agency: National Technical Information Service
  • Contract Numbers: C-85-65t
  • Files: TRIS
  • Created Date: Nov 24 1976 12:00AM