弯管的极限上限分析  

Upper Bound Limit Analysis of Pipe Elbow

作　　者：徐志锋[1] 刘应华[1] 徐秉业[1] 

机构地区：[1]清华大学工程力学系

出　　处：《油气储运》1999年第8期14-17,共4页Oil & Gas Storage and Transportation

摘　　要：应用数学规划在对弯管进行极限上限分析时,使用Mises屈服函数所计算的塑性耗散功的不可微性可导致收敛困难。通过具有无穷大弹性模量的假想弹塑性材料的应变能代替塑性耗散功,这个问题可被解决。使用弯管极限上限分析的数学规划格式可有效地对弯管进行极限上限分析。The non-differentiability of the plastic dissipation calculated through the Von-Mises yield function leads to convergence difficulties when using mathematical programming to solve upper bound limit analysis of pipe elbow. This problem is avoided replacing the plastic dissipation by the strain energy of a ficticious elastic-plastic material with a nearly infinite Young modular. The paper provides a mathematical programming fomulation for upper bound limit analysis of pipe elbow.

关 键 词：弯管 有限元 极限分析 数学规划 油气储运 

分 类 号：TE973.1[石油与天然气工程—石油机械设备] TE973.02