• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Finite elements in analysis & design >Effects of finite element formulation on optimal plate and shell structural topologies
【24h】

Effects of finite element formulation on optimal plate and shell structural topologies

机译：有限元公式对最佳板壳结构拓扑的影响

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The effects of selected membrane, plate and flat shell finite element formulations on optimal topologies are numerically investigated. Two different membrane components are considered. The first is a standard 4-node bilinear quadrilateral, and the other is a 4-node element accounting for in-plane (drilling) rotations. Plate elements selected for evaluation include the discrete Kirchhoff quadrilateral (DKQ) element and two Mindlin-Reissner-based elements, one employing selective reduced integration (SRI), and the other an assumed natural strain (ANS) formulation. The effect of hourglass control on SRI elements is also evaluated. The flat shell elements consist of an assemblage of these membrane and plate components. The Mindlin-Reissner elements are shown to recover the thin plate result computed using DKQ elements. However, optimal topology is shown to be dependent on plate element formulation as thickness increases. Furthermore, a new benchmark problem is introduced illustrating the deficiencies of Mindlin-Reissner elements employing SRI without hourglass control. For shell problems, elements which properly account for in-plane rotations are shown to be insensitive to the penalty parameter which enforces the relationship between in-plane rotations and displacements, in contrast to the situation when an ad hoc treatment of drilling degrees of freedom is used.
机译：数值研究了所选膜，板和扁壳有限元公式对最佳拓扑的影响。考虑了两种不同的膜成分。第一个是标准的4节点双线性四边形，另一个是4节点的单元，说明了平面内（钻削）旋转。选择进行评估的板单元包括离散的Kirchhoff四边形（DKQ）单元和两个基于Mindlin-Reissner的单元，一个单元采用选择性缩减积分（SRI），另一种采用自然应变（ANS）公式。还评估了沙漏控制对SRI元素的影响。扁平壳元件由这些膜和板组件的组合组成。显示了Mindlin-Reissner元素以恢复使用DKQ元素计算的薄板结果。但是，随着厚度的增加，最佳拓扑显示取决于板元素配方。此外，引入了一个新的基准问题，说明了使用SRI而不进行沙漏控制的Mindlin-Reissner元件的缺陷。对于壳体问题，与适当处理钻井自由度的情况相比，显示了适当考虑平面内旋转的元素对惩罚参数不敏感，该惩罚参数强制了平面内旋转和位移之间的关系。用过的。

著录项

  • 来源
    《Finite elements in analysis & design》 |2009年第11期|817-825|共9页
  • 作者

    Craig S. Long; Philip W. Loveday; Albert A. Groenwold;

  • 作者单位

    Sensor Science and Technology, CSIR Material Science and Manufacturing, Box 395, Pretoria 0001, South Africa;

    Sensor Science and Technology, CSIR Material Science and Manufacturing, Box 395, Pretoria 0001, South Africa;

    Sensor Science and Technology, CSIR Material Science and Manufacturing, Box 395, Pretoria 0001, South Africa;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    finite element formulation; topology optimization;

    机译：有限元公式;拓扑优化;

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号