Steel and Composite Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Minimum-weight design of stiffened shell under hydrostatic pressure by genetic algorithm

  • Ghasemi, A.R. (Department of Mechanical Engineering, University of Kashan) ;
  • Hajmohammad, M.H. (Department of Mechanical Engineering, University of Kashan)
  • Received : 2013.09.10
  • Accepted : 2014.12.19
  • Published : 2015.07.25
⟨ Previous Next ⟩

Abstract

In this paper, optimization of cylindrical shells under external pressure to minimize its weight has been studied. Buckling equations are based on standard of ABS underwater vehicles. Dimension and type of circumferential stiffeners, and its distance from each other are assumed as variables of optimization problem. Considering the extent of these variables, genetic algorithms have been used for optimization. To study the effect of hydrostatic pressure on the shell and its fabrication according to the existing standards, geometrical and construction as well as stress and buckling constraints have been used in optimization algorithm and also penalty functions are applied to eliminate weak model. Finally, the best model which has the minimum weight considering the applied pressure has been presented.

Keywords

Acknowledgement

Supported by : University of Kashan

References

  1. Abdi, B., Mozafari, H., Ayob, A., Kohandel, R. and Alibeigloo, A. (2012), "Buckling behavior of optimal laminated composite cylindrical shells subjected to axial compression and external pressure", Appl. Mech. Mater., 121, 48-54.
  2. ABS, Section 6 (2012), Rules for building and classing underwater vehicles, systems and hyperbaric facilities, metallic pressure boundary components, American Bureau of Shipping, Houston, TX, USA.
  3. Alinia, M.M. (2005), "A study into optimization of stiffeners in plates subjected to shear loading", Thin-Wall. Struct., 43(5), 845-860. https://doi.org/10.1016/j.tws.2004.10.008
  4. An International Code (2010), ASME boiler and pressure vessel code, Section VIII rules for construction of pressure vessels-division 1.
  5. Bedair, O.K. (1997), "Influence of stiffener location on the stability of stiffened plates under compression and in-plane bending", Int. J. Mech. Sci., 39(1), 33-49. https://doi.org/10.1016/0020-7403(96)00017-3
  6. Beer, F.P., Johnston, E.R. and DeWolf, J.T. (1992), Mechanics of Materials, McGraw-Hill, New York, NY, USA.
  7. Ghasemi, A.R. and Hajmohammad, M.H. (2013), "Optimization of stacking sequence for buckling load using the response surface method and genetic algoritms in laminated composite materials", J. Computat. Method. Eng., 31(2), 131-140.
  8. Hu, H.T. and Yang, J.S. (2007), "Buckling optimization of laminated cylindrical panels subjected to axial compressive load", Compos. Struct., 81(3), 374-385. https://doi.org/10.1016/j.compstruct.2006.08.025
  9. Lee, G.C., Kweon, J.H. and Choi, J.H. (2012), "Optimization of composite sandwich cylinders for underwater vehicle application", Compos. Struct., 96, 691-697.
  10. Muc, A. and Muc-Wierzgon, M. (2012), "An evolution strategy in structural optimization problems for plates and shells", Compos. Struct., 94(4), 1461-1470. https://doi.org/10.1016/j.compstruct.2011.11.007
  11. Kang, J.H. and Kim, C.G. (2005), "Minimum-weight design of compressively loaded composite plates and stiffened panels for postbuckling strength by genetic algorithm", Compos. Struct., 69(2), 239-246. https://doi.org/10.1016/j.compstruct.2004.07.001
  12. Khot, N.S. (1983), "Nonlinear analysis of optimized structure with constraints on system stability", AIAA J., 21(8), 1181-1186. https://doi.org/10.2514/3.8224
  13. Khot, N.S., Venkayya, V. and Berke, L. (1976), "Optimum structural design with stability constraints", Int. J. Numer. Method. Eng., 10(5), 1097-1114. https://doi.org/10.1002/nme.1620100510
  14. Nagendra, S., Jestin, D., Gurdal, Z., Haftka, R.T. and Watson, L.T. (1996), "Improved genetic algorithm for the design of stiffened composite panels", Comput. Struct., 58(3), 543-555. https://doi.org/10.1016/0045-7949(95)00160-I
  15. Perry, C.A., Gurdal, Z. and Starnes, J.H. (1997), "Minimum-weight design of compressively loaded stiffened panels for postbuckling response", Eng. Optimiz., 28(3), 175-197. https://doi.org/10.1080/03052159708941131
  16. Ross, C.T.F. (2001), Pressure Vessels under External Pressure, Saxe-Coburg Publications, pp. 357-386.
  17. Kendrick, S. (1965), "The buckling under internal pressure of ring-stiffened circular cylinders", Trans. RINA, 107(1), 135-156.
  18. Todoroki, A. and Sekishiro, M. (2008), "Stacking sequence optimization to maximize the buckling load of blade stiffened panels with strength constraints using the iterative fractal branch and bound method", Compos. Part B: Eng., 39(5), 842-850. https://doi.org/10.1016/j.compositesb.2007.10.003
  19. Vanderplaats, G.N. (1984), Numerical Optimization Techniques for Engineering Design: With Applications, McGraw-Hill, New York, NY, USA.
  20. Walker, M. (2002), "The effect of stiffeners on the optimal ply orientation and buckling load of rectangular laminated plates", Comput. Struct., 80(27), 2229-2239. https://doi.org/10.1016/S0045-7949(02)00265-1
  21. Walker, M. and Tabakov, P.Y. (2013), "Design optimization of anisotropic pressure vessels with manufacturing uncertainties accounted", Int. J. Pres. Ves. Pip., 104, 96-104. https://doi.org/10.1016/j.ijpvp.2013.02.001
  22. Wang, W., Guo, S., Chang, N. and Yang, W. (2010), "Optimum buckling design of composite stiffened panels using ant colony algorithm", Compos. Struct., 92(3), 712-719. https://doi.org/10.1016/j.compstruct.2009.09.018
  23. Zienkiewicz, O.C. and Campbell, J.S. (1973), "Shape optimization and sequential linear programming", Optim. Struct. Des., 109-126.

Cited by

  1. Multi-objective optimization of cost and thermal performance of double walled carbon nanotubes/water nanofluids by NSGA-II using response surface method vol.112, 2017, https://doi.org/10.1016/j.applthermaleng.2016.10.129
  2. Multi-objective optimization of laminated composite shells for minimum mass/cost and maximum buckling pressure with failure criteria under external hydrostatic pressure vol.55, pp.3, 2017, https://doi.org/10.1007/s00158-016-1559-2
  3. Mass and buckling criterion optimization of stiffened carbon/epoxy composite cylinder under external hydrostatic pressure vol.15, pp.1, 2018, https://doi.org/10.1590/1679-78253881
  4. Optimization of domes against instability vol.28, pp.4, 2015, https://doi.org/10.12989/scs.2018.28.4.427
  5. Improved reliability-based design optimization of non-uniformly stiffened spherical dome vol.60, pp.1, 2015, https://doi.org/10.1007/s00158-019-02213-x