車輪・レール間の非Hertz接触計算手法の研究 : 第1報,Kalkerによる厳密な理論式の高速な計算法(<小特集>TRANSLOG2009/J-RAIL2009)

Abstract

The result of a study on a faster numerical method for Kalker's "EXACT THEORY" is presented in this paper. For solving contact problems between wheel and rail, Kalker's "EXACT THEORY" is a precise method based on the three dimensional theory of elasticity of Boussinesq and Cerruti, however it has not been used widely because of its calculation cost. It is explained in this paper that with the use of the primal-dual interior point method one can improve the exact theory in calculation speed, and therefore one can solve contact problems more effectively. In this paper, first, the formulation of contact problems and original Kalker's numerical algorithm are stated. Secondly, the numerical algorithm based on the primal-dual interior point method is stated, and then, both the algorithms are compared and lastly it is shown that by applying the primal-dual interior point method one might solve contact problems 1.5〜10 times faster than by applying Kalker's original algorithm.