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Sensitivity analysis and optimal design of non‐linear structures
Author(s) -
Mróz Z.,
Piekarski J.
Publication year - 1998
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(19980815)42:7<1231::aid-nme407>3.0.co;2-c
Subject(s) - truss , sensitivity (control systems) , constraint (computer aided design) , imperfect , optimal design , mathematical optimization , mathematics , limit (mathematics) , structural engineering , linear programming , optimization problem , computer science , engineering , mathematical analysis , geometry , electronic engineering , linguistics , philosophy , statistics
Sensitivity analysis for non‐linear elastic structures in regular and critical states is first discussed including design parameters and initial imperfections. Next, the optimal design problem is formulated by considering imperfect structures and setting constraints on deflections and stresses. For structures with unstable post‐critical response the limit load constraint is introduced in the optimization procedure. Several examples of truss optimization are provided. The level of initial imperfections can be regarded as design parameter and specified from the optimal solution. © 1998 John Wiley & Sons, Ltd.