On optimization of 2D compliant mechanisms using honeycomb discretization with material-mask overlay strategy

2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007

Volumn 6 PART B, Issue , 2008, Pages 1331-1341

  Saxena, Anupam ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CELL BASED; CHECKERBOARD (CKB); COMPLIANT MECHANISMS; DESIGN AUTOMATION CONFERENCE (DAC); DISCRETIZATION; HEXAGONAL CELLS; INTERNATIONAL DESIGNS; NEIGHBORING CELLS; NEW MATERIALS; OPTIMAL SOLUTIONS; POST PROCESSING; SINGLE CELLS; STRAIN-FREE; TECHNICAL CONFERENCES;

AEROSPACE APPLICATIONS; ALGORITHMS; AUTOMATION; CELLS; COMPUTER AIDED DESIGN; COMPUTER NETWORKS; COMPUTERS; CUBIC BORON NITRIDE; DIESEL ENGINES; ENGINEERING; GENETIC ALGORITHMS; HEALTH; HONEYCOMB STRUCTURES; INDUSTRIAL ENGINEERING; INTEGER PROGRAMMING; MECHANISMS; MECHANIZATION; NUMERICAL METHODS; OPTIMIZATION; ROBOTICS; TECHNOLOGY;

ARCHITECTURAL DESIGN;

EID: 44949133104     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2007-34341     Document Type: Conference Paper

References (43)

1. Ananthasuresh G.K., Kota S., Kikuchi N. (1994) Strategies for Systematic Synthesis of Compliant MEMS. Proc. 1994 ASME Winter Annual meeting (held in Chicago), pp. 677-686
2. Bendsøe, M. P. and Sigmund, O., 1999, "Material interpolations in topology optimization," Archive of Applied Mechanics 69, 635-654
3. Bendse, M.P., Mota Soares, C.M. (Eds), 1992, Topology Designs of Structures, Kluwer Academic Publication, Dordrecht Netherlands.
4. Bendsee, M. P., 1995, Optimization of Structural topology, shape and material, Springer, Berlin
5. Bleicher, M.N., and L.F. Toth. 1965. Two-dimensional honeycombs. American Mathematical Monthly 72(November):969.
6. Bruns T. E. and Tortorelli D. A., 2001, "Topology optimization of nonlinear elastic structures and compliant mechanisms," Computer Methods in Applied Mechanics and Engineering, Vol. 190(26-27), pp. 3443-3459.
7. Buhl,T.Pedersen,W.,and Sigmund,O., 2000, "Stiffness design of geometrically nonlinear structures using topology optimization," Struct. Multidisc. Optim., Vol. 19, pp. 93-104.
8. Chapman, C. D., Saitou, K., and Jakiela, M. J., 1994, "Genetic Algorithms as an Approach to Configuration and Topology Design," ASME Journal of Mechanical Design., Vol 116, pp. 1005-1012.
9. Cox, E. 2005, "Fuzzy Modeling and Genetic Algorithms for Data Mining and Exploration," Morgan Kauffman, New York, NY.
10. De Jong, K. A., 2006, "Evolutionary Computation, A Unified Approach," MIT Press.
11. Eschenauer, H.A., Olhoff, N., 2001, "Topology Optimization of continuum structures: A review," Applied. Mechanics Reviews, Vol. 54 (4), pp. 331-390.
12. Frecker, M., Ananthasuresh, G.K., Nishiwaki, N., Kikuchi, N., Kota, S., 1997, "Topological Synthesis of Compliant Mechanisms using Multi-Criteria Optimization. ASME Journal of Mechanical Design, Vol 119, 238-245
13. Goldberg, D. E., 2002, "Genetic Algorithms in Search, Optimization & Machine Learning," Reading, Mass. Addison Wesley Longman, Inc.
14. Hales, T. C., 2001 "The Honeycomb Conjecture." Disc. Comp. Geom. 25, 1-22.
15. Hoffman, P. The Man Who Loved Only Numbers: The Story of Paul Erdos and the Search for Mathematical Truth. New York: Hyperion, 1998.
16. Howell, L.L., 2001, Compliant Mechanisms, John-Wiley & Sons, Inc., New York.
17. Hull, P., and Canfield, S., 2006, "Optimal Synthesis of Compliant Mechanisms Using Subdivision and Commercial FEA," ASME Journal of Mechanical Design, Vol 128, pp: 337-348.
18. Jakiela, M. J., Chapman, C., Duda, J., Adewuya, A.. Saitou, K., 2000, "Continuum Structural Topology Design with Genetic Algorithms," Computer Methods in Applied Mechanics and Engineering, 186, pp 339-356.
19. Jog, C.S., Haber, R.B., 1996, "Stability of finite element models for distributed parameter optimization and topology design," Computer methods in applied mechanics and engineering, Vol. 130, pp. 203-226.
20. Kane, C. and Schoenauer, M., 1996, "Topological Optimum Design using Genetic Algorithms," Control and Cybernetics, 25 (5), pp 1059-1088
21. Kreyszig, Erwin, Advanced Engineering Mathematics, 8th Ed, Wiley, 1999.
22. LarsenU. D., Sigmund O., Bouwstra S., 1997, "Design and fabrication of compliant micromechanisms and structures with negative Poisson's ratio," Journal of microelectromechanical systems, 1997, vol. 6 (2), pp. 99-106
23. Liang, Q.Q., Steven, G.P., 2002, "A performance-based optimization method for topology design of continuum structures with mean compliance constraints," Computer methods in applied mechanics and engineering, Vol. 191, pp. 1471-1489.
24. Lu Ker-Jia and Kota, S., 2003, "Design of Compliant Mechanisms for Morphing Structural Shapes," Journal of Intelligent Material Systems and Structures, Vol. 14, No. 6, pp. 379-391
25. Mankame N. D. and Ananthasuresh G. K., accepted for publication in 2006, "Synthesis of contact-aided compliant mechanisms for nonsmooth path generation," International Journal for Numerical Methods in Engineering.
26. Mlejnik HP, Schirrmacher R., 1993, "An engineering approach to optimal material distribution and shape finding." Computer Methods in Applied Mechanics and Engineering, Vol 106: pp1-26.
27. Pedersen C.B.W., Buhl T., Sigmund O. (2001) Topology Synthesis of Large-displacement Compliant Mechanisms. International Journal for Numerical Methods in Engineering. 50 (12): 2683-2706.
28. Petersson, J., Sigmund, O., 1998, "Slope constrained topology optimization," International Journal for Numerical Methods in Engineering, Vol. 41, pp. 1417-1434.
29. Rai, A., Saxena, A., Mankame, N. D., 2006, "Synthesis of Path Generating Compliant Mechanisms using Initially Curved Beam Elements," ASME Journal of Mechanical Design, accepted.
30. Saxena A., Ananthasuresh G. K. (2001) Topology Synthesis of Compliant Mechanisms for Nonlinear Force-Deflection and Curved Output Path. ASME Journal of Mechanical Design. 123: 33-42.
31. Saxena A., Ananthasuresh G.K. (2000) On an optimality property of compliant topologies. Structural and Multidisciplinary Optimization. 19: 36-49
32. Saxena, A., 2005a, "Synthesis of Compliant Mechanisms for Path Generation using Genetic Algorithm," ASME Journal of Mechanical Design, Vol 127, July 2005, pp 1-8.
33. Saxena, A., 2005b, "Topology Design of Large Displacement Compliant Mechanisms with Multiple Materials and Multiple Output Ports," Structural and Multidisciplinary Optimization, Vol 30 (6), pp. 477-490.
34. Sigmund O. (2001a) Design of Multiphysics Actuators using Topology Optimization - Part I: One-Material Structures. Comput. Methods Appl. Mech. Engrg. 190 (49-50): 6577-6604.
35. Sigmund O. (2001b) Design of Multiphysics Actuators using Topology Optimization - Part II: Two-Material Structures. Comput. Methods Appl. Mech. Engrg. 190 (49-50): 6605-6627.
36. Sigmund O., (1997) On the Design of Compliant Mechanisms using Topology Optimization. Mechanics of Structures and Machines. 25: 495-526
37. Svanberg, K., 2002, "A Class of Globally Convergent Optimization Methods based on Conservative Convex Separable Approximations," SIAM Journal on Optimization, 12 (2), pp. 555-573.
38. Tóth, L.F. 1964. What the bees know and what they do not know. Bulletin of the American Mathematical Society 70(July):468
39. Weaire, D., and R. Phelan. 1994. Optimal design of honeycombs. Nature 367(Jan. 13): 123.
40. Yin, L. and Ananthasuresh, G.K., 2003 .A Novel Formulation for the Design of Distributed Compliant Mechanisms,. Mechanics Based Design of Structures and Machines, Vol. 31, No. 2, 2003, pp. 151-179.
41. Zhou, H., Ting, K. L., 2005, "Topological Synthesis of Compliant Mechanisms Using Spanning Tree Theory, ASME Journal of Mechanical Design," Vol. 127, No.4, 753-759
42. Zhou, H., Ting, K. L., 2006, "Shape and Size Synthesis of Compliant Mechanisms Using Wide Curve Theory, ASME Journal of Mechanical Design," Vol. 128, No.3, 551-558.
43. Zhou, M., Rozvany G.I.N, 1991, "The COC Algorithm, Part II: Topological, Geometrical, and Generalized Shape Optimization," Computational Methods in Applied Mechanics and Engineering, Vol 89, 309-336.