The nominal force method for truss geometry and topology optimization incorporating stability considerations

This paper presents a computationally efficient method for truss layout optimization with stability constraints. Previously proposed approaches that ensure stability of optimal frameworks are first reviewed, showing that existing studies are generally restricted to topology optimization. The present...

Full description

Saved in:
Bibliographic Details
Published in:International journal of solids and structures 2014-06, Vol.51 (13), p.2390-2399
Main Authors: Descamps, Benoît, Filomeno Coelho, Rajan
Format: Article
Language:English
Subjects:
Computational efficiency
Geometry optimization
Local buckling
Mathematical models
Nodal stability
Nominal force
Optimization
Plastic design
Preliminary designs
Stability
Structural members
Topology optimization
Truss layout optimization
Trusses
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents a computationally efficient method for truss layout optimization with stability constraints. Previously proposed approaches that ensure stability of optimal frameworks are first reviewed, showing that existing studies are generally restricted to topology optimization. The present contribution aims to generalize the approach to simultaneous geometry and topology optimization. A lower-bound plastic design formulation under multiple loading will serve as basis for this purpose. The numerical difficulties associated with geometrical variations are identified and the parametrization is adapted accordingly. To avoid nodal instability, the nominal force method is adopted, which introduces artificial loading cases to simulate the effect of geometric imperfections. Hence, the truss systems with unstable nodes are eliminated from the set of optimal solutions. At the same time, the local stability of structural members is ensured via a consistent local buckling criterion. This novel formulation leads to optimal configurations that can be practically used for the preliminary design of structural frameworks. Four applications illustrate the impact of stability constraints on the solution. The importance of geometry optimization is also pointed out by comparing with results that would be unattainable by topology optimization only.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2014.03.003