关键词: 轮轨匹配, 轮轨接触, 可视化, 样条插值, 混合编程

Abstract: For the problem of using the experience and experiment method to match the wheel-rail shape in engineering, an optimization and visualization algorithm is presented for the geometrical shape matching in the wheel-rail contact system. The algorithm of the subsection cubic spline interpolation is adopted to fit the wheel-rail profiles curves, and curve boundary is got by the finite difference method；furthermore, the wheel-rail contact positions are figured out by computing the roll angles of wheelset iteratively with the dichotomy. Based on MATLAB and Visual C++, the wheel-rail contact geometrical parameters are calculated and visualized dynamically. The method achieves a quantitative analysis between equivalent conicity and lateral displacement of wheelset, then, it provides a new optimization method for the wheel-rail match. The simulation results show the algorithm is of the strong robustness and generality.

Key words: wheel-rail match, wheel-rail contact, visualization, spline interpolation, hybrid programming