On the layout optimization of 2D skeletal structures under a single displacement constraint

The present paper revisits the problem of minimizing the weight of 2D skeletal structures under a single displacement constraint. The contribution lies on the development of an optimization procedure implementing three new features. The first feature is the formulation of a new and efficient Optimal...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2010-07, Vol.42 (1), p.125-155
Main Authors: Venetsanos, Demetrios T., Provatidis, Christopher G.
Format: Article
Language:English
Subjects:
Computational Mathematics and Numerical Analysis
Engineering
Engineering Design
Lagrange multiplier
Optimality criteria
Optimization
Redesign
Research Paper
Structural members
Structural weight
Theoretical and Applied Mechanics
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Summary:The present paper revisits the problem of minimizing the weight of 2D skeletal structures under a single displacement constraint. The contribution lies on the development of an optimization procedure implementing three new features. The first feature is the formulation of a new and efficient Optimality Criterion-type redesign scheme where no Lagrange multipliers are required. The second feature is the introduction of a new categorization of the structural elements according to which members simultaneously being force-passive and area-active may lead search methods to local minima. The third feature is the application of a typical line-search optimization method on the structural elements diagnosed as force-passive/area-active so that their contribution to the structural weight is minimized and a better design is obtained. The validity of the proposed optimization procedure was successfully tested for determinate and indeterminate skeletal structures.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-009-0472-3