4.7 Article

Topology design with negative masks using gradient search

Journal

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
Volume 44, Issue 5, Pages 629-649

Publisher

SPRINGER
DOI: 10.1007/s00158-011-0649-4

Keywords

Mask overlay method; Structural optimization; Gradient search; Binary solutions

Funding

  1. Alexander von Humboldt Stiftung, Germany
  2. Institute of Kinematics and Machine Dynamics, IGM, Aachen, Germany [52062 RWTH]

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Previous implementations of the Material Mask Overlay Scheme (MMOS) (Saxena, ASME J Mech Des 130(8):1-9, 2009, 2010; Jain and Saxena, ASME J Mech Des 132(6):1-10, 2010) use stochastic search to achieve well connected, perfectly binary topologies but are computationally expensive. Here, a gradient search is employed to lay the negative masks over the design region. A continuous material assignment model is presented and studied. This investigation is motivated by the following goals: (a) reduction in the number of evaluations thereby making the search computationally efficient compared to the previous implementations, (b) obtaining as close to well-connected binary topologies as possible, and (c) influence of various parameters on the quality of solutions and existence of gray cells.

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