DOI QR코드

DOI QR Code

A fuzzy optimum design of axisymmetrically loaded thin shells of revolution

  • Kang, Moon-Myung (Department of Architectural Engineering, Kyungpook National University) ;
  • Mu, Zai-Gen (Department of Architectural Engineering, Kyungpook National University) ;
  • Kim, Seung-Deog (School of Industrial Architectural & Environmental Engineering, Semyung University) ;
  • Kwun, Taek-Jin (Department of Architectural Engineering, Sung Kyun Kwan University)
  • Published : 1999.03.25

Abstract

This paper presents a fuzzy optimum design of axisymmetrically loaded thin shells of revolution. This paper consists of two parts, namely: an elastic analysis using the new curved element for finite element analysis developed in this study for axisymmetrically loaded thin shells of revolution, and the volume optimization on the basis of results evaluated from the elastic analysis. The curved element to meridian direction is used to develop the computer program. The results obtained from the computer program are compared by exact solution of each analytic example. The fuzzy optimizations of thin shells of revolution are done using [Model 2] which is in the form of a conventional crisp objective function and constraints with non-membership function, and nonlinear optimum GINO (General Interactive Optimizer) programming. In this paper, design examples show that the fuzzy optimum designs of the steel water tank and the steel dome roof could provide significant cost savings.

Keywords

References

  1. Adidam, S.R, and Subramanyam, A.V. (1982), "Optimum design of reinforced concrete water tanks", Journal of the Structural Division,. ASCE, 108(6), 1219-1231.
  2. American Concrete Institute (1989), "Building code requirements for reinforced concrete and commentary on building code-ACI 318-89", Committee Report, Detroit, Michigan.
  3. Antonio, L.T., Luciano, O. and Corrado, P. (1994), "Minimum weight design of reticular space structures: a computer aided system" , International Journal of Space Structures, 9(4), 179-189. https://doi.org/10.1177/026635119400900401
  4. Boisserie, J.M. and Glowinski, R. (1978), "Optimization on thickness law for thin axisymmetric shells" , Comp. Struct., 8, 331-343. https://doi.org/10.1016/0045-7949(78)90176-1
  5. Duda, G.W. (1993), "Optimization of shallow network domes", Space Structures 4, Thomas Telford, London, 1784-1791.
  6. Jung, Choong-Yung and Pulmano, V.A. (1996), "Improved fuzzy linear programming model for structure designs", Computers & Structures, 58(3), 471-477. https://doi.org/10.1016/0045-7949(95)00169-H
  7. Kang, M.M. and Pulmano, V.A., Choi, Y. and Nam, M.H. (1993), "Optimum design of R.C cylindrical liquid storage tank in soil", SEIKEN-/ASS Symposium, Tokyo, 267-272.
  8. Liebman, J., Lasdon, L.S., Schrage, L. and Waren, A.D. (1986), Modeling and Optimization with GINO, The Scientific Press.
  9. Love, A.E.H. (1892), "A treatise on the mathematical theory of elastisty" , Cambridge.
  10. Mu, Z.G., Kang, M.M. and Kim, S.D. (1996), "An optimum design of axisymmetrically loaded thin shells of revolution", Proceeding of Asia- Pacific Conference on Shell and Spatical Structures, Beijing, China, May.
  11. Pfluger, A. (1961), Elementary Statics of Shells, McGraw-Hili, 53-63.
  12. Ramm, E., Bletzinger, K.U. and Kimmich, S. (1991), "Strategies in shape optimization of free form shells", Nonlinear Computational Mechanics, a State of the Art, (Eds. P. Wriggers and W. Wagner), Springer, Berlin and Heidelberg.
  13. Shon, S.D., Mu, Z.G., Kang, M.M., Kim, S.D., and Kwun, T.J. (1996), "Optimization of space trusses considering geometric nonlinearity", The Third Asian-Pacific Conference on Computational Mechanics, Seoul, Korea, September.
  14. Timoshenko S.P., Woinowsky-Krieger S. (1970), "Theory of plates and shells", McGraw Hill.
  15. Tiwari, R.N., Dharmar, S. and Rao, J.R. (1987), "Fuzzy goal programming-an additive moder, Fuzzy sets and Systems, 24, 27-34. https://doi.org/10.1016/0165-0114(87)90111-4
  16. Tiwari, R.N., Dharmar, S. and Rao, J.R. (1986), "Priority structure in fuzzy goal programming", Fuzzy sets and Systems, 19, 251-259. https://doi.org/10.1016/0165-0114(86)90054-0
  17. Wang, Guang-Yuan and Dong, Ming-Yao (1981), "Optimal structural design", Advanced Education Publishing Company.
  18. Zadeh, L.A. (1965), "Fuzzy set" , Information and Control, 8, 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
  19. Zimmermann, H.-J. (1991), "Fuzzy set theory and its applications" , Second, Revised Edition.
  20. Zimmermann, H.-J. (1978), "Fuzzy programming and linear programming with several object function" , Fuzzy Sets and Systems, 1, 45-55. https://doi.org/10.1016/0165-0114(78)90031-3
  21. Zimmermann, H.-J. (1983), "Using fuzzy sets in OR", European J. of Operatonal Reseach, 13, 201-216. https://doi.org/10.1016/0377-2217(83)90048-6
  22. Xu, Changwen (1989), "Fuzzy optimization of structures by the two-phase method", Computer and Structures, 31, 575-580. https://doi.org/10.1016/0045-7949(89)90334-9

Cited by

  1. Profiled sheets - the optimum vs the oft used vol.34, pp.4, 2010, https://doi.org/10.12989/sem.2010.34.4.541