DOI QR코드

DOI QR Code

Two-stage layout-size optimization method for prow stiffeners

  • Liu, Zhijun (Department of Transportation and Environmental Systems, Graduate School of Engineering, Hiroshima University) ;
  • Cho, Shingo (Department of Transportation and Environmental Systems, Graduate School of Engineering, Hiroshima University) ;
  • Takezawa, Akihiro (Department of Transportation and Environmental Systems, Graduate School of Engineering, Hiroshima University) ;
  • Zhang, Xiaopeng (Department of Engineering Mechanics, Dalian University of Technology) ;
  • Kitamura, Mitsuru (Department of Transportation and Environmental Systems, Graduate School of Engineering, Hiroshima University)
  • 투고 : 2017.09.07
  • 심사 : 2018.01.18
  • 발행 : 2019.01.31

초록

Designing sophisticate ship structures that satisfy several design criteria simultaneously with minimum weight and cost is an important engineering issue. For a ship structure composed of a shell and stiffeners, this issue is more serious because their mutual effect has to be addressed. In this study, a two-stage optimization method is proposed for the conceptual design of stiffeners in a ship's prow. In the first stage, a topology optimization method is used to determine a potential stiffener distribution based on the optimal results, whereupon stiffeners are constructed according to stiffener generative theory and the material distribution. In the second stage, size optimization is conducted to optimize the plate and stiffener sections simultaneously based on a parametric model. A final analysis model of the ship-prow structure is presented to assess the validity of this method. The analysis results show that the two-stage optimization method is effective for stiffener conceptual design, which provides a reference for designing actual stiffeners for ship hulls.

키워드

참고문헌

  1. Akl, W., El-Sabbagh, A., Baz, A., 2008. Optimization of the static and dynamic characteristics of plates with isogrid stiffeners. Finite Elem. Anal. Des. 44, 513-523. https://doi.org/10.1016/j.finel.2008.01.015
  2. Allaire, G., Jouve, F., Maillot, H., 2004. Topology optimization for minimum stress design with the homogenization method. Struct. Multidiscipl. Optim. 28, 87-98. https://doi.org/10.1007/s00158-004-0442-8
  3. Bendsoe, Martin P., 1989. Optimal shape design as a material distribution problem. Struct. Multidiscipl. Optim. 1, 193-202. https://doi.org/10.1007/BF01650949
  4. Bendsoe, Martin Philip, Kikuchi, Noboru, 1988. Generating optimal topologies in structural design using a homogenization method. Comput. Methods in Appl.Mech.Eng. 71, 197-224. https://doi.org/10.1016/0045-7825(88)90086-2
  5. Bojczuk, D., Szteleblak, W., 2008. Optimization of layout and shape of stiffeners in 2D structures. Comput. Struct. 86, 1436-1446. https://doi.org/10.1016/j.compstruc.2007.05.005
  6. Ding, Xiaohong, Yamazaki, Koetsu, 2005. Adaptive growth technique of stiffener layout pattern for plate and shell structures to achieve minimum compliance. Eng. Opti. 37, 259-276. https://doi.org/10.1080/0305215512331328231
  7. Fan, Wen-Jie, Li, Ning, 2011. Optimization design research on stiffened panels of spaceborne electronic equipment. Mach. Des. Res. 2, 40-43.
  8. Grihon, Krog, Lars, Bassir, David, 2009. Numerical Optimization applied to structure sizing at AIRBUS: a multi-step process. Int. J. Simul. Multidisci. Des. Optim. 3, 432-442. https://doi.org/10.1051/ijsmdo/2009020
  9. Grujicic, M., Arakere, G., Pisu, P., Ayalew, B., Seyr, Norbert, Erdmann, Marc, Holzleitner, Jochen, 2008. Application of topology, size and shape optimization methods in polymer metal hybrid structural lightweight engineering. MMMS 4, 305-330. https://doi.org/10.1163/157361108785963028
  10. Ishii, Keizo, Aomura, Shigeru, 2004. Topology optimization for the extruded three dimensional structure with constant cross section. JSME Int J A Solid M 47, 198-206. https://doi.org/10.1299/jsmea.47.198
  11. Kirsch, Uri, 1993. Structural Optimization: Fundamentals and Applications. Springer-Verlag.
  12. Krog, Lars, Tucker, Alastair, Kemp, Martin, Boyd, Richard, 2004. Topology optimisation of aircraft wing box ribs. In: 10th AIAA/ISSMO Multi Anal Opti Conf, p. 4481.
  13. Leiva, Juan, Watson, Brian, Kosaka, Iku, 2004. An analyticall Bi-Directional growth parameterization to obtain optimal castable topology designs. In: 10th AIAA/ISSMO Multi Anal Opti Conf, p. 4596.
  14. Liu, Qi-mao, Yan, Liu-bin, 2007. Optimal designing method for reinforced ribs of sheet metal structure based on yielding criterion of fringe fibre. Mach. Des. 33-37.
  15. Liu, Shutian, Li, Quhao, Chen,Wenjiong, 2015. H-DGTP-a Heaviside-function based directional growth topology parameterization for design optimization of stiffener layout and height of thin-walled structures. Struct. Multidiscipl. Optim. 52, 903-913. https://doi.org/10.1007/s00158-015-1281-5
  16. Locatelli, Mulani, Sameer, Rakesh, K., 2011. Wing-box weight optimization using curvilinear spars and ribs (SpaRibs). J. Aircr. 48, 1671-1684. https://doi.org/10.2514/1.C031336
  17. Ma, Zheng-Dong, Kikuchi, Noboru, Cheng, Hsien-Chie, 1995. Topological design for vibrating structures. Comput. Methods in Appl.Mech.Eng. 121, 259-280. https://doi.org/10.1016/0045-7825(94)00714-X
  18. Maute, K., Allen, M., 2004. Conceptual design of aeroelastic structures by topology optimization. Struct. Multidiscipl. Optim. 27, 27-42. https://doi.org/10.1007/s00158-003-0362-z
  19. Niu, Bin, Gengdong, Cheng, 2008. Optimum structure with homogeneous optimum cellular material for maximum fundamental frequency. Struct. Multidiscipl. Optim. 39, 115-132. https://doi.org/10.1007/s00158-008-0334-4
  20. Nocedal, Jorge, Wright, Stephen, 2006. Numerical Optimization. Springer Science & Business Media.
  21. Oberndorfer, Joachim M., Achtziger, Wolfgang, Hornlein, Herbert REM., 1996. Two approaches for truss topology optimization: a comparison for practical use. Struct. Multidiscipl. Optim. 11, 137-144. https://doi.org/10.1007/BF01197027
  22. Petersson, Joakim, Sigmund, Ole, 1998. Slope constrained topology optimization. Int. J. Numer. Meth. Eng. 41, 1417-1434. https://doi.org/10.1002/(SICI)1097-0207(19980430)41:8<1417::AID-NME344>3.0.CO;2-N
  23. Qiu, Qiang, Wei, Qing Yang, De, Gao, Chu, 2016. Structural design in cargo tank region for oil tankers based on topology optimization. Ship Boat 1-18.
  24. Rais-Rohani, M., Lokits, J., 2007. Reinforcement layout and sizing optimization of composite submarine sail structures. Struct. Multidiscipl. Optim. 34, 75-90. https://doi.org/10.1007/s00158-006-0066-2
  25. Rozvany, George IN., 2014. Topology Optimization in Structural Mechanics. Springer.
  26. Sekulski, Zbigniew, 2009. Least-weight topology and size optimization of high speed vehicle-passenger catamaran structure by genetic algorithm. Mar. Struct. 22, 691-711. https://doi.org/10.1016/j.marstruc.2009.06.003
  27. Vatanabe, Sandro L., Lippi, Tiago N., de Lima, Cicero R., Paulino, Glaucio H., Silva, Emilio CN., 2016. Topology optimization with manufacturing constraints: a unified projection-based approach. Adv. Eng. Softw. 100, 97-112. https://doi.org/10.1016/j.advengsoft.2016.07.002
  28. Wang, Qi, Lu, Zhenzhou, Zhou, Changcong, 2011. New topology optimization method for wing leading-edge ribs. J. Aircr. 48, 1741-1748. https://doi.org/10.2514/1.C031362
  29. Zhou, M., Shyy, Y.K., Thomas, H.L., 2001. Checkerboard and minimum member size control in topology optimization. Struct. Multidiscipl. Optim. 21 (2), 152-158. https://doi.org/10.1007/s001580050179
  30. Zhu, Ji-Hong, Gu, Xiao-Jun, Zhang, Wei-Hong, Beckers, Pierre, 2013. Structural design of aircraft skin stretch-forming die using topology optimization. J. Comput. Appl. Math. 246, 278-288. https://doi.org/10.1016/j.cam.2012.09.001

피인용 문헌

  1. A Framework of Efficient Material Storage Management on Congested Construction Site vol.65, 2019, https://doi.org/10.1051/e3sconf/20186503005
  2. Layout Optimization of Stiffeners in Heavy-Duty Thin-Plate Box Grider vol.25, pp.8, 2021, https://doi.org/10.1007/s12205-021-2130-2
  3. Research on the Rational Design Method of Strength Reinforcement for Thin-Walled Structure Based on Limit Load Analysis vol.12, pp.4, 2019, https://doi.org/10.3390/app12042208