榫头/榫槽接触问题边界元分析

本文用增量理论建立了二维弹性接触问题的边界元法方程,讨论了求解接触问题过程中的一些具体做法。文中分别对盘/片组件的燕尾型与枞树型榫头与榫槽的接触应力作了数值分析。与有限元及光弹试验结果对比表明,边界元法的结果是令人满意的。 

ANALYSIS OF TENON AND MORTISE CONTACT PROBLEMS BY BOUNDARY ELEMENT METHODS

The boundary element equations of 2 D elastic contact problems are established by the incremental principle and some concrete approaches to solution of the contact procedure are considered.The contact stresses of the dove tail and the pine tree joints of the disk/blade assembly are numerically analyzed.From the comparsion of the numerical results of boundary element methods(BEM)with those of FEM and photoelasticity experiments it is concluded that the results of BEM are satisfactory in contrast with FEM,the BEM not only simplifies data preparation but also gives the results of the same accuracy level with fewer discrete elements and saves the computer time tremendously.