Premium
An approach to optimal design of structures with non‐linear response
Author(s) -
Oblak M. M.,
Kegl M.,
Butinar B. J.
Publication year - 1993
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.1620360309
Subject(s) - sequence (biology) , mathematical optimization , constraint (computer aided design) , stability (learning theory) , computer science , mathematics , structural system , algorithm , structural engineering , engineering , genetics , geometry , machine learning , biology
Abstract A commonly adopted procedure to solve a structural optimum design problem is to improve the design iteratively by solving a sequence of simpler problems, where each of these is obtained as an approximation of the original problem. Considering structures with linear response, this procedure works very well and can be implemented quite straightforwardly. However, considering structures with non‐linear response, the situation is more sophisticated since structural stability properties have to be taken into account. The paper presents an approach to optimal design of statically loaded structures with non‐linear response. It is proposed to replace the original problem with a sequence of similar problems from which corresponding approximate problems can easily be obtained. These similar problems additionally contain an estimation of the critical load constraint while other constraints are imposed at some properly chosen load level, which is lower or at most equal to the critical load level. By this approach, the structural stability requirements are taken into account in an effective manner. The efficiency is illustrated with several examples involving kinematic as well as material non‐linear effects.