河海大学学报(自然科学版)
河海大學學報(自然科學版)
하해대학학보(자연과학판)
JOURNAL OF HOHAI UNIVERSITY (NATURAL SCIENCES)
2015年
3期
244-248
,共5页
钱向东%吴有奇%林荔珊
錢嚮東%吳有奇%林荔珊
전향동%오유기%림려산
下限极限分析法%有限元%非线性规划%路径跟踪内点法
下限極限分析法%有限元%非線性規劃%路徑跟蹤內點法
하한겁한분석법%유한원%비선성규화%로경근종내점법
algorithm for lower bound limit analysis%finite element%nonlinear programming%interior point path-following algorithm
采用路径跟踪内点法求解有限元下限极限分析所对应的非线性规划问题。在非线性方程组的Newton算法中引入子迭代过程,能够直接采用位移型有限元的数据存储格式和求解工具,并且大量计算可以在单元一级完成。改进的算法可直接利用现有的位移型有限元程序,实现过程简单。算例表明,该算法的效率和精度均可以得到保证。
採用路徑跟蹤內點法求解有限元下限極限分析所對應的非線性規劃問題。在非線性方程組的Newton算法中引入子迭代過程,能夠直接採用位移型有限元的數據存儲格式和求解工具,併且大量計算可以在單元一級完成。改進的算法可直接利用現有的位移型有限元程序,實現過程簡單。算例錶明,該算法的效率和精度均可以得到保證。
채용로경근종내점법구해유한원하한겁한분석소대응적비선성규화문제。재비선성방정조적Newton산법중인입자질대과정,능구직접채용위이형유한원적수거존저격식화구해공구,병차대량계산가이재단원일급완성。개진적산법가직접이용현유적위이형유한원정서,실현과정간단。산례표명,해산법적효솔화정도균가이득도보증。
The interior point path-following method was applied to lower bound finite element limit analysis of the nonlinear programming problem. By applying the subiterative process in the Newton algorithm to solving nonlinear equations, the data storage format and solver of the displacement-based finite element method can be used directly, and large amounts of calculation can be performed element by element. The improved algorithm can be simply implemented with the existing displacement-based finite element program. An example shows that the subiteration algorithm can obtain high efficiency and precision.