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Multiple Fully Stressed Structural Designs and the Stress Ratio Method
Author(s) -
Burns Scott A.,
Orlet Michael W.,
Raschke Mark A.
Publication year - 1995
Publication title -
computer‐aided civil and infrastructure engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.773
H-Index - 82
eISSN - 1467-8667
pISSN - 1093-9687
DOI - 10.1111/j.1467-8667.1995.tb00386.x
Subject(s) - stress (linguistics) , sizing , attractor , space (punctuation) , limit (mathematics) , aspect ratio (aeronautics) , stress space , mathematics , chaotic , structural engineering , computer science , mathematical analysis , materials science , engineering , artificial intelligence , composite material , art , philosophy , linguistics , constitutive equation , finite element method , visual arts , operating system
Some structures are capable of being proportioned in several different ways such that each one is a fully stressed design. This paper investigates the nature of these multiple fully stressed designs, the relationships that exist between them, and the behavior of the stress ratio method when applied to the sizing of such structures. “Basins of attraction” constructions are used to graphically portray the behavior of the stress ratio method and to compare it with those of alternative design techniques. It is shown that both attracting and repelling fully stressed designs coexist in the design space under the action of the stress ratio method. A simple modification of the stress ratio method is suggested for transforming repellers into attractors. Instances of limit cycle and chaotic behavior of the stress ratio method are also presented.