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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Vydáno v:Structural and multidisciplinary optimization Ročník 58; číslo 1; s. 171 - 184
Hlavní autoři: Schwarz, Jonas, Chen, Tian, Shea, Kristina, Stanković, Tino
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2018
Springer Nature B.V
Témata:
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
Local buckling
Linear programming
Sequential linear programming
Truss structures
Shape optimization
ISSN:1615-147X, 1615-1488
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Shrnutí: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.
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ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-017-1885-z