Discrete parameterization using full or partial ground structures of truss/frame elements is not appropriate for domain representation as they do not map all points in the continuum and can lead to dangling or overlapping elements in the optimal topology. Existing continuum parameterization using units cells with holes, ranked microstructures or penalized Young’s modulus (SIMP model) mainly have problems like the appearance of checkerboard patterns and stiffness singularity regions. This is probably due to point-contact between diagonally placed cells and such regions can be avoided by using higher order elements, perimeter constraints or filtering schemes which result in additional computational load on the optimization procedures. An edge connectivity throughout is ensured when using a honeycomb representation with staggered regular hexagonal cells. In this paper, such a parameterization is employed for topology synthesis of compliant mechanisms with flexibility-stiffness and flexibility-strength multi-criteria formulations. The material connectivity is well-defined, and checkerboard and zero-stiffness singularities are not seen in numerous examples solved with honeycomb parameterization.
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ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
September 2–6, 2003
Chicago, Illinois, USA
Conference Sponsors:
- Design Engineering Division and Computers and Information in Engineering Division
ISBN:
0-7918-3700-9
PROCEEDINGS PAPER
On Honeycomb Parameterization for Topology Optimization of Compliant Mechanisms
Rajat Saxena,
Rajat Saxena
Indian Institute of Technology, Kanpur, India
Search for other works by this author on:
Anupam Saxena
Anupam Saxena
Indian Institute of Technology, Kanpur, India
Search for other works by this author on:
Rajat Saxena
Indian Institute of Technology, Kanpur, India
Anupam Saxena
Indian Institute of Technology, Kanpur, India
Paper No:
DETC2003/DAC-48806, pp. 975-985; 11 pages
Published Online:
June 23, 2008
Citation
Saxena, R, & Saxena, A. "On Honeycomb Parameterization for Topology Optimization of Compliant Mechanisms." Proceedings of the ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 2: 29th Design Automation Conference, Parts A and B. Chicago, Illinois, USA. September 2–6, 2003. pp. 975-985. ASME. https://doi.org/10.1115/DETC2003/DAC-48806
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