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Structural and Multidisciplinary Optimization

, Volume 51, Issue 2, pp 385–396 | Cite as

Incorporating fabrication cost into topology optimization of discrete structures and lattices

  • Alireza Asadpoure
  • James K. Guest
  • Lorenzo ValdevitEmail author
RESEARCH PAPER

Abstract

In this article, we propose a method to incorporate fabrication cost in the topology optimization of light and stiff truss structures and periodic lattices. The fabrication cost of a design is estimated by assigning a unit cost to each truss element, meant to approximate the cost of element placement and associated connections. A regularized Heaviside step function is utilized to estimate the number of elements existing in the design domain. This makes the cost function smooth and differentiable, thus enabling the application of gradient-based optimization schemes. We demonstrate the proposed method with classic examples in structural engineering and in the design of a material lattice, illustrating the effect of the fabrication unit cost on the optimal topologies. We also show that the proposed method can be efficiently used to impose an upper bound on the allowed number of elements in the optimal design of a truss system. Importantly, compared to traditional approaches in structural topology optimization, the proposed algorithm reduces the computational time and reduces the dependency on the threshold used for element removal.

Keywords

Fabrication cost Material cost Minimum weight Topology optimization Lattices 

Notes

Acknowledgments

This work was financially supported by the Office of Naval Research under Grant No. N00014-11-1-0884 (program manager: D. Shifler). This support is gratefully acknowledged. The authors are also thankful to Krister Svanberg for providing the MMA optimizer subroutine.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Alireza Asadpoure
    • 1
  • James K. Guest
    • 2
  • Lorenzo Valdevit
    • 1
    Email author
  1. 1.Mechanical and Aerospace EngineeringUniversity of California IrvineIrvineUSA
  2. 2.Department of Civil EngineeringJohns Hopkins UniversityBaltimoreUSA

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