非线性大变形问题边界元分析的自校正方法

SELF-CORRECTING METHOD FOR BOUNDARY ELEMENT ANALYSIS OF FINITE DEFORMATION

针对用增量法求解非线性方程解的漂移问题，在非线性问题边界元法计算中建立了自我校正方法．对在拖带坐标上建立的增量形式的基本方程，引入Ｌａｎｇｒａｎｇｅ校正因子，以全量形式的基本方程作为其辅助方程，在此基础上导出含校正项的边界积分方程．边界元自我校正方法的建立有效地保证了在非线性问题的计算中最终收敛在其解附近，提高了计算精度和运算效率．

For the problem of the error accumulation in solving nonlinear equations by increment method,this paper sets up a self-correcting method in the calculstion of boundary element analysis of finite deformation.By tubing common fundamental equations as auxiliary equations and substitutins these equations into the rate-form fundamental equations in co-moving system with correction factor,then the boundary integral equation is deduced.To use the self-correcting method in boundary element method ensures that the solution of nonlinear problem converges to real solution.Thus the compunctional accuracy and efficiency are raised.