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Original Articles

Optimization of the geometry of thin-walled uniform-strength pressure vessel end closures

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Pages 238-264 | Received 03 Mar 2013, Accepted 04 Dec 2013, Published online: 20 Mar 2014

References

  • Banichuk, N. V. 1990. Introduction to Optimization of Structures. Berlin: Springer.
  • Banichuk, N. V. 2002. “Optimization of Shells from Quasi-brittle Materials Loaded by Constant and Cyclic Forces.” Mechanics of Solids 5: 99–107.
  • Banichuk, N. V., F. J. Barthold, and M. Serra. 2005. “Optimization of Axisymmetric Membrane Shells Against Brittle Fracture.” Meccanica 40: 135–145. doi: 10.1007/s11012-004-6367-x
  • Banichuk, N. V., F. Ragnedda, and V. Serra. 2003. “Probabilistic Guaranteed Optimal Design of Membrane Shells Against Quasi-Brittle Fracture.” Mechanics Based Design of Structures and Machines 31 (4): 459–474. doi: 10.1081/SME-120023166
  • Banichuk, N. V., F. Ragnedda, and M. Serra. 2008. “Optimization of Mass Effectiveness of Axisymmetric Pressure Vessels.” Structural and Multidisciplinary Optimization 35 (5): 453–459. doi: 10.1007/s00158-007-0149-8
  • Banichuk, N. V., I. S. Yu, E. V. Makeev, and A. V. Sinitsin. 2006. “Optimal Shape Design of Axisymmetric Shells for Crack Initiation and Propagation Under Cyclic Loading.” Mechanics Based Design of Structures and Machines 33 (2): 253–269. doi: 10.1081/SME-2000118709
  • Barski, M., and J. Krużelecki. 2005. “Optimal Design of Shells Against Buckling by Means of the Simulated Annealing Method.” Structural and Multidisciplinary Optimization 29: 61–72. doi: 10.1007/s00158-004-0447-3
  • Batchelor, M. J., and T. E. Taylor. 1995. “Equivalent Torispherical Pressure Vessel Heads.” International Journal of Pressure Vessels and Piping 7 (3): 229–244. doi: 10.1016/0308-0161(79)90019-X
  • Biezeno, C. B. 1922. “Bijdrage tot de berekening van katelfronten.” De Ingenieur 37: 781–784.
  • Błachut, J. 1992. “Influence of Meridional Shaping on the Collapse Strength of FRP Domes.” Engineering Optimization 19: 65–80.
  • Błachut, J. 1997. “Minimum Weight Design of Internally Pressurized Domes Subjected to Plastic Load Failure.” Thin-Walled Structures 22 (2): 127–146.
  • Błachut, J., and H. E. Eschenauer. 2001. Emerging Methods for Multidisciplinary Optimization. CISM Course and Lectures No. 425. Vienna: Springer.
  • Błachut, J., and K. Magnucki. 2008. “Strength, Stability, and Optimization of Pressure Vessels: Review of Selected Problems.” Transactions of ASME Applied Mechanics Reviews 61 (6): 1–33.
  • Brown, E. H. 1962. “The Minimum Weight Design of Closed Shells of Revolution.” Quarterly Journal of Mechanics and Applied Mathematics 15 (1): 109–128. doi: 10.1093/qjmam/15.1.109
  • Carbonari, R. C., P. A. Muñoz-Rojas, E. Q. Andrade, G. H. Paulino, K. Nishimoto, and E. C. N. Silva. 2011. “Design of Pressure Vessels Using Shape Optimization: An Integrated Approach.” International Journal of Pressure Vessels and Piping 88: 198–212. doi: 10.1016/j.ijpvp.2011.05.005
  • Csonka, P. 1966. Membranschalen. Berlin: Verlag von W. Ernest & Sohn.
  • Dow, M., H. Nakamura, and G. I. N. Rozvany. 1982. “Optimal Cupolas of Uniform Strength: Spherical M-Shells and Axisymmetric T-Shells.” Ingenieur-Archiv 52: 335–353. doi: 10.1007/BF00537193
  • Elin, V. D., and V. I. Haritonov. 1977. “Determination of Optimal Size of Thin-Walled Vessels.” [In Russian.] Roboty po Mechanike Sploshnich Sredov, Tula, 107–112.
  • Eschenauer, H. A. 1989. “Shape Optimization of Satellite Tanks for Minimum Weight and Maximum Storage Capacity.” Structural Optimization 1 (3): 171–180. doi: 10.1007/BF01637337
  • Flügge, W. 1967. Stresses in Shells. Berlin: Springer.
  • Gololobov, V. I., and L. A. Ilin. 1970. “Uniform Strength Thickness of Axially Symmetric Shells.” [In Russian.] Prikladnaya Mekhanika 6 (7): 58–63.
  • Hoffman, G. A. 1962a. “Minimum Weight Proportions Pressure Vessel Heads.” Transactions of ASME E 29 (4): 662–668.
  • Hoffman, G. A. 1962b. “Optimal Proportions of Pressure Vessel Heads.” Journal of Aerospace Science 29 (12): 1471–1475. doi: 10.2514/8.9872
  • Kirkpatrick, S., C. D. Gelatt Jr, and M. P. Vecchi. 1983. “Optimization by Simulated Annealing.” Science 220: 671–680. doi: 10.1126/science.220.4598.671
  • Krivoshapko, S. N. 2007. “Research on General and Axisymmetric Ellipsoidal Shells Used as Domes, Pressure Vessels, and Tanks.” Applied Mechanics Reviews 60 (6): 336–355. doi: 10.1115/1.2806278
  • Krużelecki, J. 1979. “Some Problems of Optima Design of Axially-Symmetrical Shells in Membrane State.” [In Polish.] Mechanika Teoretyczna i Stosowana 17 (1): 75–92.
  • Krużelecki, J. 2004. “Review of Optimal Structural Design of Shells.” In Proceedings of the 3rd Conference on Thin-Walled Vessels, edited by S. Joniak, K. Magnucki, and J. Mielniczuk, 35–72. Poznañ University of Technology.
  • Krużelecki, J., and R. Proszowski. 2012a. “Shape Optimization of Thin-Walled Pressure Vessel End Closures.” Structural and Multidisciplinary Optimization 46 (5): 739–754. doi: 10.1007/s00158-012-0789-1
  • Krużelecki, J., and R. Proszowski. 2012b. “Shape and Thickness Optimization of Thin-Walled Pressure Vessel End Closures.” In Proceedings of the 3rd International Conference on Engineering Optimization, edited by J. Herskovits. Rio de Janeiro: EngOpt2012 (CD-ROM only), 12.
  • Krużelecki, J., and A. Stawiarski. 2010. “Optimal Design of Thin-Walled Columns for Buckling Under Loadings Controlled by Displacements.” Structural and Multidisciplinary Optimization 42: 305–314. doi: 10.1007/s00158-010-0489-7
  • Krużelecki, J., and M. Życzkowski. 1985. “Optimal Structural Design of Shells—A Survey.” SM Archives 10: 101–170.
  • van Laarhoven, P.J.M., and E.H.L. Aarts. 1992. Simulated Annealing—Theory and Applications. Dordrecht: Kluwer Academic Publishers.
  • Leit, J. P. B., and B. H. V. Topping. 1999. “Parallel Simulated Annealing for Structural Optimization.” Computers and Structures 73: 545–564. doi: 10.1016/S0045-7949(98)00255-7
  • Lewiński, J., and K. Magnucki. 2010. “Shaping of a Middle Surface of a Dished Head of a Circular Cylindrical Pressure Vessels.” Journal of Theoretical and Applied Mechanics 48 (2): 297–307.
  • Łukasiewicz, S. 1979. Local Loads in Plates and Shells. Warsaw: PWN-Polish Scientific Publishers.
  • Magnucki, K. 1998. Strength and Optimization of Thin-Walled Vessels. [In Polish.] Warsaw: PWN-Polish Scientific Publishers.
  • Magnucki, K., and J. Lewiński. 1998. “Shape Optimization of Heads of Cylindrical Pressure Vessels.” In Advances in Computational Structural Mechanics, edited by B. H. V. Topping, 421–425. Edinburgh: Civil-Comp Press.
  • Magnucki, K., and J. Lewiński. 2000. “Fully Stressed Head of a Pressure Vessel.” Thin-Walled Structures 38: 167–178. doi: 10.1016/S0263-8231(00)00031-8
  • Magnucki, K., and J. Lewiński. 2003. “Optimal Design of an Ellipsoidal Head of a Pressure Cylindrical Vessel.” Proceedings in Applied Mathematics and Mechanics 3: 517–518. doi: 10.1002/pamm.200310528
  • Magnucki, K., W. Szyc, and J. Lewiński. 2002. “Minimization of Stress Concentration Factor in Cylindrical Pressure Vessels with Ellipsoidal Heads.” International Journal of Pressure Vessels and Piping 79: 841–846. doi: 10.1016/S0308-0161(02)00101-1
  • Mansfield, E. H. 1981. “An Optimum Surface of Revolution for Pressurized Shells.” International Journal of Mechanical Science 23: 57–62. doi: 10.1016/0020-7403(81)90007-2
  • Masters, T. 1993. Practical Neural Network Recipes in C++. San Diego, CA: Academic Press.
  • Middleton, J. 1979. “Optimal Design of Torispherical Pressure Vessel End Closures.” Engineering Optimization 4: 129–138. doi: 10.1080/03052157908902415
  • Muc, A., and W. Gruba. 2001. “Optimization of Dome Heads Using Splines Conjugated with Genetic Algorithms.” In Proceedings of the 2nd Conference on Thin-Walled Vessels, edited by K. Magnucki and J. Mielniczuk, 149–156. Wyższa Szkoła Pedagogiczna w Zielonej Górze.
  • Nakamura, H., M. Dow, and G. I. N. Rozvany. 1981. “Optimal Spherical Cupola of Uniform Strength: Allowance for Selfweight.” Ingenieur-Archiv 51: 159–181.
  • Prager, W., and G. I. N. Rozvany. 1980. “Optimal Spherical Cupola of Uniform Strength.” Ingenieur-Archiv 49: 287–293. doi: 10.1007/BF02426908
  • Shirko, I. V. 1969. “Axially Symmetric Bending of Uniform Strength Cylindrical Shell.” [In Russian.] Prikladnaya Mekhanika 5 (4): 46–53.
  • Stadler, W., and V. Krishnan. 1989. “Natural Structural Shapes for Shells of Revolution in the Membrane Theory of Shells.” Structural Optimization 1 (1): 19–27. doi: 10.1007/BF01743806
  • Struble, R. A. 1956. “Biezeno Pressure Vessel Heads.” Journal of Applied Mechanics 2: 642–645.
  • Timoshenko, S. 1959. Theory of Plates and Shells. New York: McGraw Hill.
  • Wilczyński, B. 2000. “Shape Optimization to Minimize Stress Concentration in Shell Structures.” In Proceedings of Identification, Control and Optimisation of Engineering Structure, edited by G. De Roeck and B. H. V. Topping, 119–132. Edinburgh: Civil-Comp Press.
  • Wilczyński, B. 2001. “Shape Optimization of Thick Pressure Vessels.” In Proceedings of the 2nd Conference on Thin-Walled Vessels, edited by K. Magnucki and J. Mielniczuk, 201–213. Wyższa Szkoła Pedagogiczna w Zielonej Górze.
  • Yushan, Z., and Z. R. Wang. 1996. “Stress Analysis of Two-Arc Approximate Ellipsoidal Pressure Vessel Heads and Parameter Optimization.” International Journal of Pressure Vessels and Piping 67: 199–202. doi: 10.1016/0308-0161(95)00017-8
  • Yushan, Z., Z. R. Wang, and C. Wei. 1996. “Stress Analysis of Approximately Ellipsoidal Cold-Spun Tri-Arc Tank Head and Parameter Optimization.” International Journal of Pressure Vessels and Piping 68: 237–242. doi: 10.1016/0308-0161(95)00072-0
  • Ziegler, H. 1958. “Kuppeln Gleicher Festigkeit.” Ingenieur-Archiv 26 (5): 378–382. doi: 10.1007/BF00537602
  • Życzkowski, M. 1992. “Recent Advances in Optimal Structural Design of Shells.” European Journal of Mechanics A/Solids 11 (Special issue): 5–24.

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