轮轨相互作用有限元分析

FINITE ELEMENT ANALYSIS OF WHEEL-RAIL INTERACTION

本文在Ｋａｔｏｎａ￣［２］工作的基础上，发展了一种新的接触摩擦单元。这种单元能够模拟具有初始裂缝或无初始裂缝两物体间的摩擦滑动、张开和闭合过程。运用虚位移原理和结合考虑接触面上的约束条件，建立了接触摩擦问题增量形式的有限元刚度矩阵和荷载向量。在程序设计中，这种新单元可用标准的有限元集成规则组装到有限元程序中。作为实际应用的例子，文章研究了轮轨相互作用问题，并与不考虑接触摩擦影响的有限元分析进行了比较。计算表明，文中提出的单元是有效的，具有算法简单和收敛性好的优点。

BasedonG. Katona’s work,a new type of contact friction interface element is developed. This element can simulate frictional slippage,separation,and rebonding of two bodies initially mating at a common interface or with any initial gaps. With a combination of using virtual displacement principle and considering constraint conditions on contact surface,incremental finite element stiffness matrix and load vector for contact friction problem are established. This new element can be assembled into finite element program by stardardmethod in code design. As an application example,wheel-rail interaction is studied,and theobtained results are compared with those of finite element analysis taking no account of effective of contact friction. The computation shows the element presented in this paper is effective,and has the advantages of easy to implementation and fast to convergence.