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Heuristic optimization method for cellular structure design of light weight components

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Abstract

Additive manufacturing can be used to produce structures which would be impossible to manufacture using traditional manufacturing processes. One application of this technology is for fabrication of customized, light-weight material called mesoscale lattice structure (MSLS), which is a type of cellular structure with dimensions in the range of 0.1 to 10 mm. The problem to be addressed in this paper is how to efficiently synthesize MSLS with thousands of struts and, hence, thousands of design variables. A heuristic optimization method is presented for efficiently synthesizing large MSLS on complex shaped parts that reduces the multivariate optimization problem to a problem of only two variables. The heuristic is based on the observation that the stress distribution in a MSLS will be similar to the stress distribution in a solid body of the same overall shape. Based on local stress states, unit cells from a predefined unit-cell library are selected and sized to support those stress states. In this paper, the method is applied to design a strong, stiff, and light-weight Micro Air Vehicle fuselage. Weight savings are demonstrated as a result.

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Abbreviations

MSLS:

Meso-Scale Lattice Structures

SMS:

Size Matching and Scaling Method

CLS:

Conformal Lattice Structures

References

  1. Rosen, D. W., “Computer-aided design for additive manufacturing of cellular structures,” Computer-Aided Design & Applications, App., Vol. 4, No.5, pp. 585–594, 2007.

    Google Scholar 

  2. Gibson, I., Rosen, D. W., and Stucker, B., “Additive Manufacturing Technologies: Rapid Prototyping to Direct Digital Manufacturing,” Springer, 2010.

    Book  Google Scholar 

  3. Gibson, L. J. and Ashby, M. F., “Cellular Solids: Structure and Properties,” Cambridge University Press, 1997.

    Google Scholar 

  4. Deshpande, V. S., Fleck, N. A., and Ashby, M. F., “Effective properties of the octet-truss lattice material.” J. Mech. Phys. Solids, Vol. 49, No. 8, pp. 1747–1769, 2001.

    Article  MATH  Google Scholar 

  5. Wang, A. J. and McDowell, D. L., “Yield surfaces of various periodic metal honeycombs at intermediate relative density,” Int. J. Plasticity, Vol. 21, No. 2, pp. 285–320, 2005.

    Article  MATH  Google Scholar 

  6. Johnston, S. R., Reed, M., Wang, H., and Rosen, D. W., “Analysis of Mesostructure Unit Cells Comprised of Octet-truss Structures,” Proc. of the The Seventeenth Solid Freeform Fabrication Symposium, 2006.

    Google Scholar 

  7. Bendsøe, M. P. and Sigmund, O., “Topology Optimization: Theory, Methods and Applications,” Springer, 2003.

    Google Scholar 

  8. Allaire, G., “Shape Optimization by the Homogenization Method,” Springer, 2002.

    Book  MATH  Google Scholar 

  9. Rozvany, G. I. N., “Topology Optimization in Structural Mechanics,” Springer, 2003.

    Google Scholar 

  10. Michell, A. G. M., “Limits of economy material in frame structures,” Philosophy Magazine, Vol. 8, pp. 589–597, 1904.

    Article  MATH  Google Scholar 

  11. Bendsøe, M. P. and Kikuchi, N., “Generating optimal topologies in structural design using a homogenization method,” Comput. Methods Appl. Mech. Engrg, Vol. 71, No. 2, pp. 197–224, 1988.

    Article  MathSciNet  Google Scholar 

  12. Wang, H., Chen, Y., and Rosen, D. W., “A hybrid geometric modeling method for large scale conformal cellular structures,” ASME Computers and Information in Engineering Conference, DETC 2005-85366, 2005.

    Google Scholar 

  13. Chen, Y., “An accurate sampling-based method for approximating geometry,” Computer-Aided Design, Vol. 39, No. 11, pp. 975–986, 2007.

    Article  Google Scholar 

  14. Wang, H., “A unit-cell approach for lightweight structure and compliant mechanism,” Georgia Institute of Technology, 2005.

    Google Scholar 

  15. Chang, P. S. and Rosen, D. W., “The Size Matching and Scaling Method: A Synthesis Method for the Design of Mesoscale Cellular Structures,” Int. J. Comp. Int. Manuf., DOI:10.1080/0951192X.2011.650880.

  16. Seepersad, C. C., Allen, J. K., McDowell, D. L., and Mistree, F., “Robust design of cellular materials with topological and dimension imperfections,” J. Mech. Des., Vol. 128, No.6, pp. 1285–1297.

  17. Nguyen, J., Park, S. I., and Rosen, D. W., “Heuristic Optimization Method for Cellular Structure Design of Light Weight Components,” Proc. of ISGMA, 2012.

    Google Scholar 

  18. Malvern, L. E., “Introduction to the Mechanics of a Continuous Medium,” Prentice-Hall, 1969.

    Google Scholar 

  19. Chu, C., Engelbrecht, S., Graf, G. C., and Rosen, D. W, “A comparison of synthesis methods for cellular structures with application to additive manufacturing,” Rapid Proto. J., Vol. 16, No.4, pp. 275–283, 2010.

    Article  Google Scholar 

  20. Portugal, L. F., Judice, J. J., and Vicente, L. N., “A comparison of block pivoting and interior point algorithms for linear least squares problems with nonnegative variables,” Math. Comp., Vol. 63, pp. 625–643, 1994.

    Article  MathSciNet  MATH  Google Scholar 

  21. DARPA Public Affairs, “Can You Design, Build, and Fly the Next Generation UAV?” http://science.dodlive.mil (Accessed 4 May 2012)

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Correspondence to David Rosen.

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Nguyen, J., Park, Si. & Rosen, D. Heuristic optimization method for cellular structure design of light weight components. Int. J. Precis. Eng. Manuf. 14, 1071–1078 (2013). https://doi.org/10.1007/s12541-013-0144-5

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  • DOI: https://doi.org/10.1007/s12541-013-0144-5

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