下限极限分析的子迭代路径跟踪内点算法
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

基金项目:

国家自然科学基金重点项目(11132003)


Subiterative interior point path-following algorithm for lower bound limit analysis
Author:
Affiliation:

Fund Project:

  • 摘要
  • |
  • 图/表
  • |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • |
  • 引证文献
  • |
  • 文章评论
    摘要:

    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。

    Abstract:

    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.

    参考文献
    相似文献
    引证文献
引用本文

钱向东,吴有奇,林荔珊.下限极限分析的子迭代路径跟踪内点算法[J].河海大学学报(自然科学版),2015,43(3):244-248.(QIAN Xiangdong, WU Youqi, LIN Lishan. Subiterative interior point path-following algorithm for lower bound limit analysis[J]. Journal of Hohai University (Natural Sciences),2015,43(3):244-248.(in Chinese))

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:2015-01-24
  • 最后修改日期:
  • 录用日期:
  • 在线发布日期: 2015-06-01
  • 出版日期: