Efficient size and shape optimization of truss structures subject to stress and local buckling constraints using sequential linear programming

The advance in digital fabrication technologies and additive manufacturing allows for the fabrication of complex truss structure designs but at the same time posing challenging structural optimization problems to capitalize on this new design freedom. In response to this, an iterative approach in wh...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2018-07, Vol.58 (1), p.171-184
Main Authors: Schwarz, Jonas, Chen, Tian, Shea, Kristina, Stanković, Tino
Format: Article
Language:English
Subjects:
Computational Mathematics and Numerical Analysis
Computing time
Engineering
Engineering Design
Euler buckling
Iterative methods
Linear programming
Post-processing
Research Paper
Shape optimization
Taylor series
Theoretical and Applied Mechanics
Trusses
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Summary:The advance in digital fabrication technologies and additive manufacturing allows for the fabrication of complex truss structure designs but at the same time posing challenging structural optimization problems to capitalize on this new design freedom. In response to this, an iterative approach in which Sequential Linear Programming (SLP) is used to simultaneously solve a size and shape optimization sub-problem subject to local stress and Euler buckling constraints is proposed in this work. To accomplish this, a first order Taylor expansion for the nodal movement and the buckling constraint is derived to conform to the SLP problem formulation. At each iteration a post-processing step is initiated to map a design vector to the exact buckling constraint boundary in order to facilitate the overall efficiency. The method is verified against an exact non-linear optimization problem formulation on a range of benchmark examples obtained from the literature. The results show that the proposed method produces optimized designs that are either close or identical to the solutions obtained by the non-linear problem formulation while significantly decreasing the computational time. This enables more efficient size and shape optimization of truss structures considering practical engineering constraints.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-017-1885-z