Innovative dome design: Applying geodesic patterns with shape annealing

Artificial Intelligence for Engineering Design, Analysis and Manufacturing: AIEDAM

Volumn 11, Issue 5, 1997, Pages 379-394

  Shea, Kristina ^a   Cagan, Jonathan ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Dome design; Shape grammars; Simulated annealing; Structural optimization; Topological layout

Indexed keywords

COMPUTATIONAL GRAMMARS; DOMES; MATHEMATICAL MODELS; SIMULATED ANNEALING; STRUCTURAL DESIGN;

GEODESIC DOME PATTERNS; SHAPE GRAMMARS;

COMPUTER AIDED DESIGN;

EID: 0031276619     PISSN: 08900604     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0890060400003310     Document Type: Article

References (44)

1. Addis, W. (1990). Structural Engineering: The Nature of Theory and Design. Ellis Horwood, New York.
2. Anagnostou, G., Ronquist, E.M., & Patera, A.T. (1992). A computational procedure for part design. Computer Methods in Applied Mechanics and Engineering 97, 33-48.
3. Baldwin, J. (1996). Bucky Works: Buckminster Fuller's Ideas for Today. Wiley, New York.
4. Baumgartner, A., Harzheim, L., & Mattheck, C (1992). SKO (soft kill option): The biological way to find an optimum structural topology. International Journal of Fatigue 14(6); 387-393.
5. Bendsoe, M.P. (1995). Optimization of Structural Topology, Shape, and Material Springer-Verlag, Berlin.
6. Bendsoe, M.P., & Kikuchi, N. (1988). Generating optimal topologies in structural design using homogenization method. Computer Methods in Applied Mechanics and Engineering 71, 197-224.
7. Bendsoe, M.P., & Soares, C. (eds.) (1993). Topology Design of Structures, NATO ASI Series-NATO Advanced Research Workshop. Kluwer Academic Publishers, Dordredht.
8. Bendsoe, M.P., Ben-Tal A., & Zowe, J. (1994). Optimization methods for truss geometry and topology design. Structural Optimization 7, 141-159.
9. Billington, D.P. (1983). The Tower and the Bridge: The New Art of Structural Engineering Basic Books, New York.
10. Bono, R. (1996). www.crisis.com/∼rjbono/html/domes.html
11. Bremicker, M., Chirehdast, M., Kikuchi, M., & Papalambros, P.Y. (1991). Integrated topology and shape optimization in structural design. Mechanics of Structures and Machines International Journal 19(4), 551-587.
12. Brown, K.N., McMahon, C A., & Sims Williams, J.H. (1995) Features, aka the semantics of a formal language of manufacturing. Research in Engineering Design 7, 151-172.
13. Cagan. J., & Mitchell, W.J. (1993). Optimally directed shape generation by shape annealing. Environment and Planning B 20, 5-12.
14. Chapman, C., Saitou, K., & Jakiela, M.J. (1994). Genetic algorithms as an approach to configuration and topology design. ASME Journal of Mechanical Design 116, 1005-1012.
15. Chirehdast, M., Gea, H.-C., Kikuchi. N , & Papalambros, P.Y. (1994). Structural configuration examples of an integrated optimal design process. ASME Journal of Mechanical Design 116, 997-1004.
16. Diaz, A.R., & Belding, B. (1993) On optimum truss layout by a homogenization method. ASME Journal of Mechanical Design 115, 367-373.
17. Dorn, W.S., Gomory, R.E . & Greenberg, H.J. (1964). Automatic design of optimal structures. Journal de Mècanique 3(1), 25-52.
18. El-Sayed, M.E.M., & Jang, T.S. (1991). Multi-objective structural optimization via goal formulation. Computer Aided Optimum Design of Structures 91 : Optimization of Structural Systems and Industrial Applications. pp. 87-97. Cambridge, MA, Compt. Mech. Publications.
19. Eschenauer, H., Koski, J., & Osyczka. A. (1990) Multicriteria Design Optimization: Procedures and Applications. Springer-Verlag, New York.
20. Fuller, R.B. (1954). Building Construction. Patent No. 2,682,235.
21. Fuller, R.B. (1970). Hexa-Pent. Patent No 3,810,336.
22. Gobat, J. I., & Atkinson, D. (1994). FElt: User's guide and reference manual. Computer Science Report No. CS94-376. University of California, San Diego.
23. Grandhi, R.V., Bharatram, G., & Venkayya, V.B. (1993). Multiobjective optimization of large-scale structures. AIAA Journal 31(7), 1329-1337.
24. Hemp, W.S. (1973). Optimum Structures Claredon, Claredon Oxford.
25. Hiesserman, J., & Woodbury, R. (1994). Geometric design with boundary solid grammars. In Formal Design Methods for CAD (B-18), Gero, J.S. & Tyugu, E. Eds., pp. 85-105. Elsevier Science B.V., North-Holland.
26. Kirkpatrick, S., Gelatt, C. D., Jr., & Vecchi, M.P. (1983). Optimization by simulated annealing Science 220(4598) 671-679.
27. Kirsch, U. (1989). Optimal topologies of structures. Applied Mechanics Review 42(8), 223-238.
28. Metropolis, N., Rosenbluth, A., Rosenbluth, M., Teller, A., & Teller, E (1953). Equation of state calculations by fast computing machines. Journal of Chemical Physics 21, 1087-1092.
29. Michell, A.G.M. (1904). The limits of economy of materials in frame structures. Philosophical Magazine Series 6, 8(47), 589-597.
30. Mitchell, W.J. (1990). The Logic of Architecture: Design, Computation and Cognition, Chapter 2: Architectural Form, MIT Press, Cambridge, MA.
31. Ochotta, E.S. (1994). Synthesis of high-performance analog cells in ASTRX/ OBLX. Ph.D. Dissertation. Report No. CMUCAD-94-17. Carnegie Mellon University, Pittsburgh, PA.
32. Pedersen, P. (1973). Optimal joint positions for space trusses. Proc. American Society of Civil Engineers 99(STI2), 2459-2475.
33. Pedersen, P. (1992). Topology optimization of three dimensional trusses. Topology Design of Structures, NATO ASI Series-NATO Advanced Research Workshop, pp. 19-30. Kluwer Academic Publishers, Dordredht.
34. Prennis, J (Ed.) (1973). The Dome Builder's Handbook. Running Press, Philadelphia.
35. Reddy, G., & Cagan, J. (1993). Optimally directed truss topology generation using shape annealing. Advances in Design Automation, Vol. 65, pp. 749-759 Albuquerque, NM, ASME.
36. Reddy, G., & Cagan, J. (1995). An improved shape annealing algorithm for truss topology generation. ASME Journal of Mechanical Design 117(2A), 315-321.
37. Rozvany, G.I.N., & Zhou, M. (1991). A new direction in cross-section and layout optimization: The COC algorithm. Computer Aided Optimum Design of Structures 91; Optimization of Structural Systems and Industrial Applications, pp. 39-50. Cambridge, MA, Compt. Meeh Publications.
38. Shea, K., Cagan, J., & Fenves, S. (1996). A shape annealing approach to optimal truss design with dynamic grouping of members. ASME Journal of Mechanical Design.
39. Sheppard, R., Threadgill, R., & Holmes, J. (1974). Paper Houses. Schocken Books, New York.
40. Simon H.A. (1975). Style in design. In Spatial Synthesis in Computer-Aided Building Design. (Eastman, C.M. Ed.). John Wiley, New York.
41. Spillers, W.R. (1975). Iterative Structural Design. North-Holland Monographs In Design Theory, North-Holland/American Elsevier, New York.
42. Stal, D.M., & Turkiyyah. G.M. (1996). Skeleton-based shape design. In Artificial Intelligence in Design '96 (Gero, J.S. & Sudweeks, F. Eds.), pp. 761-780. Kluwer Academic. The Netherlands.
43. Swartz W., & Sechen, C. (1990). New algorithms for the placement and routing of macro cells. IEEE Proc. Cat. No. 90CH2924-9, IEEE Conference on Computer-Aided Design, pp. 336-339 Santa Clara, CA. IEEE Computer Society Press.
44. Stiny, G. (1980). Introduction to shape and shape grammars. Environment and Planning B 7, 343-351.