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Contact Stresses for Closely Conforming Bodies--Application to Cylinders and Spheres.

PB271033

Publication Date	1976
Personal Author	Woodward, W.; Paul, B.
Page Count	282
Abstract	Since worn wheels and rails contact conformally, the existing contact stress theories for nonconformal contact are not adequate. In this report a general numerical method of solution for three dimensional, frictionless, conformal, elastic contact problems is presented for the first time. The method is used to analyze the conformal contact of a sphere indenting a spherical seat and a cylinder indenting a cylindrical seat. The results of the sphere-spherical seat problem compared well with experimental data. Results of the cylinder-cylindrical seat problem were in close agreement to a known analytic solution of this problem. For both analyses, results compared favorably with Hertzian theory for problems with small contact regions. A method is given for defining the boundaries of the large contact regions, and for solving the associated governing singular integral equation of the first kind. A general iterative procedure is developed which converges to the true three dimensional contact region. In addition the solution to a non-Hertzian contact problem with a multiply connected contact region is solved; namely, the case of two spheres in contact where one of them has a surface defect or pit.
Keywords	Railroad tracks Vehicle wheels Rolling contact loads Surface defects Bearing stress Rolling friction Stress analysis Residual stress Plastic deformation Rail wheel interactions
Source Agency	Office of the Secretary
NTIS Subject Category	85C - Metropolitan Rail Transportation 85I - Railroad Transportation
Corporate Authors	Pennsylvania Univ., Philadelphia. Dept. of Mechanical Engineering and Applied Mechanics.; Department of Transportation, Washington, D.C. Office of Univ. Research.
Supplemental Notes	See also report dated 22 Apr 75, PB-251 238.
Document Type	Technical Report
Title Note	Final rept. on Phase 1.
NTIS Issue Number	197723
Contract Number	DOT-OS-40093

Contact Stresses for Closely Conforming Bodies--Application to Cylinders and Spheres.

Contact Stresses for Closely Conforming Bodies--Application to Cylinders and Spheres.
PB271033

Publication Date	1976
Personal Author	Woodward, W.; Paul, B.
Page Count	282
Abstract	Since worn wheels and rails contact conformally, the existing contact stress theories for nonconformal contact are not adequate. In this report a general numerical method of solution for three dimensional, frictionless, conformal, elastic contact problems is presented for the first time. The method is used to analyze the conformal contact of a sphere indenting a spherical seat and a cylinder indenting a cylindrical seat. The results of the sphere-spherical seat problem compared well with experimental data. Results of the cylinder-cylindrical seat problem were in close agreement to a known analytic solution of this problem. For both analyses, results compared favorably with Hertzian theory for problems with small contact regions. A method is given for defining the boundaries of the large contact regions, and for solving the associated governing singular integral equation of the first kind. A general iterative procedure is developed which converges to the true three dimensional contact region. In addition the solution to a non-Hertzian contact problem with a multiply connected contact region is solved; namely, the case of two spheres in contact where one of them has a surface defect or pit.
Keywords	Railroad tracks Vehicle wheels Rolling contact loads Surface defects Bearing stress Rolling friction Stress analysis Residual stress Plastic deformation Rail wheel interactions
Source Agency	Office of the Secretary
NTIS Subject Category	85C - Metropolitan Rail Transportation 85I - Railroad Transportation
Corporate Authors	Pennsylvania Univ., Philadelphia. Dept. of Mechanical Engineering and Applied Mechanics.; Department of Transportation, Washington, D.C. Office of Univ. Research.
Supplemental Notes	See also report dated 22 Apr 75, PB-251 238.
Document Type	Technical Report
Title Note	Final rept. on Phase 1.
NTIS Issue Number	197723
Contract Number	DOT-OS-40093