Three-dimensional Rolling
Contact Stress Analysis
Author(s)
C. H. Liu & W.-E. Hsu
Abstract
The three-dimensional rolling contact problem is studied in this paper. A
previously developed numerical technique, which works only for cases with
small spinning motion, is improved in this study so that the tangential stresses
can always be determined. Two new initial guesses are proposed for the
Newton-Raphson method. The first initial guess is obtained by neglecting strain
components. The second initial guess is based upon the conjecture that tractions
in pure spin may be approximated by friction stresses during a rigid body
rotation about a fixed point called the spin pole; and this conjecture is verified by
the numerical results. For any combination of creepages and spins, the two
guesses together may provide convergent solutions in the whole range of spin.
Keywords: rolling contact, stress analysis, rail and wheel contact.
1 Introduction
The following three approaches to three-dimensional rolling contact problems
are found in the literature: the direct method that is based upon an integral
formulation [1−5], the indirect method which makes use of a variational
principle [6−7], and a combination of the above two methods [8−10]. Among the
various studies using the direct method, Liu and Paul’s numerical technique [4]
can solve for tangential stresses in a non-Hertzian contact region with an
arbitrary pressure distribution. The technique was efficient and accurate, but
failed to converge in cases with even moderate values of spin. Instead of
studying further to obtain convergent solutions, they obtained tangential stresses
in cases of impending gross sliding [11]. In this study the authors dealt with the
convergence problem in Liu and Paul’s numerical technique [4]. In cases with
Keywords
rolling contact, stress analysis, rail and wheel contact.
Related Book
Other papers in this volume
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