The honeycomb-based domain representation directly yields checkerboard and point flexure free optimal solutions to various topology design problems without requiring any supplementary suppression method. This is because the root cause behind the appearance of these pathologies, namely, the permitted single-point connectivity between contiguous subregions in rectangular-cell-based representation, is eliminated. The mesh-free material-mask overlay method further promises unadulterated “black and white” solutions in contrast to density interpolation schemes where the material is modeled between the “void” and “filled” states. Here, we propose improvements to the material-mask overlay method by judiciously increasing the number of material masks during a sequence of subsearches for the best solution. We used an alternative, mutation-based zero-order stochastic search, which, through a small population of solution vectors, can yield multiple solutions from a single search for nonconvex topology optimization formulations. Wachspress hexagonal cells are used as finite elements since they offer rich displacement interpolation functions. Singular solutions are penalized and filtered. With the improved material-mask overlay method, we showcase the synthesis using two classical small displacement problems each on optimal stiff structures and compliant mechanisms to illustrate the extraction of pathology-free, “black and white,” and multiple solutions.
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June 2010
Research Papers
An Improved Material-Mask Overlay Strategy for Topology Optimization of Structures and Compliant Mechanisms
Chandini Jain,
Chandini Jain
Indian Institute of Technology
, Kanpur 208016, India
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Anupam Saxena
Anupam Saxena
Indian Institute of Technology
, Kanpur 208016, India
Search for other works by this author on:
Chandini Jain
Indian Institute of Technology
, Kanpur 208016, India
Anupam Saxena
Indian Institute of Technology
, Kanpur 208016, IndiaJ. Mech. Des. Jun 2010, 132(6): 061006 (10 pages)
Published Online: May 25, 2010
Article history
Received:
July 1, 2009
Revised:
January 29, 2010
Online:
May 25, 2010
Published:
May 25, 2010
Citation
Jain, C., and Saxena, A. (May 25, 2010). "An Improved Material-Mask Overlay Strategy for Topology Optimization of Structures and Compliant Mechanisms." ASME. J. Mech. Des. June 2010; 132(6): 061006. https://doi.org/10.1115/1.4001530
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