A comparison of synthesis methods for cellular structures with application to additive manufacturing

Purpose - The purpose of this paper is to investigate design synthesis methods for designing lattice cellular structures to achieve desired stiffnesses. More generally, to find appropriate design problem formulations and solution algorithms for searching the large, complex design spaces associated w...

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Veröffentlicht in:Rapid prototyping journal Jg. 16; H. 4; S. 275 - 283
Hauptverfasser: Chu, Jane, Engelbrecht, Sarah, Graf, Gregory, Rosen, David W.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Bradford Emerald Group Publishing Limited 15.06.2010
Schlagworte:
Additive manufacturing
Algorithms
Cellular manufacturing
Cellular structure
Composite materials
Computer programming
Decision making
Deformation
Design
Design and development
Design optimization
Designers
Formulations
Hearing aids
Manufacturing
Manufacturing cells
Manufacturing systems
Mathematical analysis
Mathematical models
Optimization
Polysulfone resins
Programming and algorithm theory
Rapid prototyping
Structural systems
Studies
Synthesis
Cellular manufacturing
Design and development
Structural systems
Programming and algorithm theory
Manufacturing systems
ISSN:1355-2546, 1758-7670
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Zusammenfassung:Purpose - The purpose of this paper is to investigate design synthesis methods for designing lattice cellular structures to achieve desired stiffnesses. More generally, to find appropriate design problem formulations and solution algorithms for searching the large, complex design spaces associated with cellular structures.Design methodology approach - Two optimization algorithms were tested: particle swarm optimization (PSO) and Levenburg-Marquardt (LM), based on a least-squares minimization formulation. Two example problems of limited complexity, specifically a two-dimensional cantilever beam and a two-dimensional simply-supported plate, were investigated. Computational characteristics of the algorithms were reported for design problems with hundreds of variables. Constraints from additive manufacturing processes were incorporated to ensure that resulting designs are realizable.Findings - Both PSO and LM succeeded in searching the design spaces and finding good designs. LM is one to two orders of magnitude more efficient for this class of problems.Research limitations implications - Three-dimensional problems are not investigated in this paper.Practical implications - LM appears to be a viable algorithm for optimizing structures of complex geometry for minimum weight and desired stiffness.Originality value - The testing of design synthesis methods (problem formulations and algorithms) for lattice cellular structures, and the testing of PSO and LM algorithms, are of particular value.
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ISSN:1355-2546
1758-7670
DOI:10.1108/13552541011049298