Open AccessA multi‐objective second‐order optimal design for deforming networks
Author(s) -
Xu Peiliang,
Grafarend Erik
Publication year - 1995
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1995.tb01840.x
Subject(s) - displacement (psychology) , principal (computer security) , optimal design , reliability (semiconductor) , ellipsoid , computer science , principal component analysis , function (biology) , deformation (meteorology) , mathematics , mathematical optimization , algorithm , artificial intelligence , geology , statistics , psychology , power (physics) , physics , oceanography , geodesy , quantum mechanics , evolutionary biology , psychotherapist , biology , operating system
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.