一种计算高速铁路轨道结构精确解的方法

摘要

高速铁路轨道具有无限周期结构特征。对于无限周期轨道结构的计算，有限元法和规范建议公式都是近似的解法。而 U 变换法是针对无限周期结构提出的一种精确求解方法。基于 U 变换法，计算得到2种具有无限长周期结构特征的轨道模型在静荷载作用下的精确解。通过与有限元法和规范建议的公式计算结果对比，结果表明：U 变换法与有限元法及规范建议的公式计算结果十分接近。据此可以证明 U 变换法是一种计算无限周期轨道结构精确解的有效方法。%The high speed railway track has been provided with visible infinite periodic characteristic.As for the calculation of infinite periodic track structure,the finite element method and the formula suggested by the code are both approximated methods.However,U -transformation is an exact method which is put forward to solve the infinite periodic track structure.Based on the U -transformation,the exact solutions of two types of track model with infinite periodic structure characteristics under static load have been studied in this paper.Through the comparison with the finite element method and the formula of code.The results indicate that:the solution of U -transformation are very promising with the finite method and code.It could be verified that the U -transfor-mation is an efficacious method for the calculation of infinite periodic track structure.