Premium
Second order approximations in structural genesis and shape finding
Author(s) -
Mlejnek H. P.,
Jehle U.,
Schirrmacher R.
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620340311
Subject(s) - computation , shape optimization , series (stratigraphy) , order (exchange) , approximations of π , work (physics) , domain (mathematical analysis) , mathematics , mathematical optimization , computer science , algorithm , finite element method , mathematical analysis , engineering , structural engineering , geology , mechanical engineering , paleontology , finance , economics
Abstract The introduction of second order sensitivities to behaviour approximation in structural optimization is applied and investigated. Numerical computation of second derivatives is considered and evaluated. Two approaches in shape optimization are involved, namely shape finding by moving boundaries and shape genesis by distributing mass in a specified design domain. A series of examples is engaged to work out the benefits of second order information in both the above fields.