Premium
A reduced SAND method for optimal design of non‐linear structures
Author(s) -
Orozco Carlos E.,
Ghattas Omar N.
Publication year - 1997
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/(sici)1097-0207(19970815)40:15<2759::aid-nme188>3.0.co;2-t
Subject(s) - truss , hessian matrix , context (archaeology) , mathematics , sequential quadratic programming , constraint (computer aided design) , mathematical optimization , algorithm , computer science , geometry , engineering , structural engineering , quadratic programming , geology , paleontology
An SQP‐based reduced Hessian method for simultaneous analysis and design (SAND) of non‐linearly behaving structures is presented and compared with conventional nested analysis and design (NAND) methods. It is shown that it is possible to decompose the SAND formulation to take advantage of the particular structure of the problem at hand. The resulting reduced SAND method is of the same size as the conventional NAND method but it is computationally more efficient. The presentation here builds on previous research on SAND methods generalizing the solution approach to cases with both equality and inequality constraints. The new version of the reduced SAND method is tested in the context of weight minimization of 3‐D truss structures with geometrically non‐linear behaviour. © 1997 John Wiley & Sons, Ltd.