A multi-objective second-order optimal design for deforming networks
A multi-objective second-order optimal design for deforming networks
复制标题
变形网络的多目标二阶优化设计
DOI：
10.1111/j.1365-246x.1995.tb01840.x
复制
发表时间：
1995
影响因子：
2.8
通讯作者：
E. Grafarend
中科院分区：
文献类型：
--
作者：
Peiliang Xu;E. Grafarend
为了准确可靠地确定位移和应变场，我们需要指定几个质量参数来优化设计变形网络。本文从多目标优化理论的角度研究了变形网络的优化设计问题。基于变形模型的特点和精度、可靠性，提出了三维变形网的多目标优化设计方法。它同时考虑到位移矢量和主应变分量的优化设计。构造了应变主分量的判据矩阵。从目标函数值、位移矢量误差椭球和应变主分量三个方面对数值结果进行了讨论。
SUMMARY To determine displacement and strain fields accurately and reliably, we need to specify several quality arguments to design deforming networks optimally. The purpose of this study is to investigate optimal design problems of deforming networks from the viewpoint of multi-objective optimal theory. Based on accuracy, reliability and the character of a deformation model, a multi-objective optimal technique has been developed for designing a 3-D deforming network. It simultaneously takes into account optimal designs of displacement vectors and principal strain components. A criterion matrix for the principal components of strain is constructed. Numerical results are discussed in terms of objective function values, error ellipsoids of displacement vectors and principal components of strain.