Abstract
The optimization of layout and sizes of the stiffeners in heavy-duty box girder could make this kind of the structure more compact and reasonable, which has certain engineering values. In this study, on the basis of the establishment of parametric finite element model, the function approaching method and gradient search method are combined to form a high-precision optimization algorithm, which makes structural analysis be integrated into the optimization process. The optimization takes the type and location of longitudinal stiffening ribs and the thickness and hole position of transverse diaphragms as design variables, the box girder structural behaviors as constraint conditions, and the total volume as objective function. Finally, the weight is reduced by nearly 7%. More importantly, the new asymmetrical layout of the stiffeners is obtained, the distance between the longitudinal stiffening ribs on the main web and the neutral layer is longer than the distance between the longitudinal stiffening ribs on the secondary web and the neutral layer, and the hole position of transverse diaphragms is close to the secondary web. Compared with the current production of symmetrical layout structure, this layout provides a new idea for the design of stiffeners in the bias-rail box girder.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Abid M, Akmal MH, Wajid HA (2015) Design optimization of box type girder of an overhead crane. Iranian Journal of Science and Technology 39(M1):101–112, DOI: https://doi.org/10.22099/IJSTM.2015.2952
Alinia MM (2004) A study into optimization of stiffeners in plates subjected to shear loading. Thin-Walled Structures 43(5):845–860, DOI: https://doi.org/10.1016/j.tws.2004.10.008
Alinia MM, Hosseinzadeh SAA, Habashi HR (2007) Influence of central cracks on buckling and post-buckling behaviour of shear panels. Thin-Walled Structures 45(4):422–431, DOI: https://doi.org/10.1016/j.tws.2007.03.003
Alinia MM, Moosavi SH (2008) A parametric study on the longitudinal stiffeners of web panels. Thin-Walled Structures 46(11):1213–1223, DOI: https://doi.org/10.1016/j.tws.2008.02.004
Chen SY, Dong TS, Shui XF (2019) Simultaneous distribution and sizing optimization for stiffeners with an improved genetic algorithm with two-level approximation. Engineering Optimization 51(11): 1845–1866, DOI: https://doi.org/10.1080/0305215X.2018.1558444
Chen SH, Yang ZJ (2005) The layout optimization of stiffeners for plate-shell structures. Acta Mechanica Solida Sinica 18(4):365–373
Dong XH, Ding XH, Li GJ, Lewis GP (2020) Stiffener layout optimization of plate and shell structures for buckling problem by adaptive growth method. Structural and Multidisciplinary Optimization 61(5):301–318, DOI: https://doi.org/10.1007/s00158-019-02361-0
Gaby IEK, Daniel GL, Louis FG (2014) Computational studies of horizontally curved, longitudinally stiffened, plate girder webs in flexure. Journal of Constructional Steel Research 93:93–106, DOI: https://doi.org/10.1016/j.jcsr.2013.10.018
Gaby IEK, Daniel GL, Louis FG (2016) Flexure-shear interaction influence on curved, plate girder web longitudinal stiffener placement. Journal of Constructional Steel Research 120:97–106, DOI: https://doi.org/10.1016/j.jcsr.2015.12.021
Gerry LP, Mitsuru K, Akihiro T (2019) Structural optimization of stiffener layout for stiffened plate using hybrid GA. International Journal of Naval Architecture and Ocean Engineering 11(2):809–818, DOI: https://doi.org/10.1016/j.ijnaoe.2019.03.005
Herencia JE, Weaver PM, Friswell MI (2007) Initial sizing optimisation of anisotropic composite panels with T-shaped stiffeners. Thin-Walled Structures 46(4):399–412, DOI: https://doi.org/10.1016/j.tws.2007.09.003
Lee JH, Kim GH, Park YS (2004) A geometry constraint handling technique for stiffener layout optimization problem. Journal of Sound and Vibration 285(1):101–120, DOI: https://doi.org/10.1016/j.jsv.2004.08.010
Lee GR, Yang WH, Suh MW (2002) Optimum shape for buckling and post-buckling behavior of a laminated composite panel with I-type stiffeners. Journal of Mechanical Science and Technology 16(10):1211–1221, DOI: https://doi.org/10.1007/BF02983827
Li L, Zhang B, Li CQ, Tan SN (2016) Stiffener layout optimization of thin plate structures based on sensitivity number. China Mechanical Engineering 27(09):1143–1149, DOI: https://doi.org/10.3969/j.issn.1004-132X.2016.09.002
Liu ZJ, Cho SG, Takezawa A, Zhang XP, Kitamura M (2018) Two-stage layout-size optimization method for prow stiffeners. International Journal of Naval Architecture and Ocean Engineering 11:44–51, DOI: https://doi.org/10.1016/j.ijnaoe.2018.01.001
Liu Y, Shimoda M, Shibutani Y (2015) Parameter-free method for the shape optimization of stiffeners on thin-walled structures to minimize stress concentration. Journal of Mechanical Science and Technology 29(4):1383–1390, DOI: https://doi.org/10.1007/s12206-015-0308-6
Qin YX, Li BL, Li X, Li YQ, Zhang ZD, Gu CY, Gu HZ (2018) Vibration analysis and control of nuclear power crane with MRFD. InternationalJournal of Applied Mechanics 10(8):1850093, DOI: https://doi.org/10.1142/S175882511850093X
Qin YX, Xie WT, Ren HP, Li X (2016) Crane hook stress analysis upon boundary interpolated reproducing kernel particle method. Engineering Analysis with Boundary Elements 63:74–81, DOI: https://doi.org/10.1016/j.enganabound.2015.11.006
Roberts TM, Davies AW (2002) Fatigue induced by plate breathing. Journal of Constructional Steel Research 58(12):1495–1508, DOI: https://doi.org/10.1016/S0143-974X(02)00008-1
Thang DD, Koo MS, Hameed A (2009) Optimum cost design of steel box-girder by varying plate thickness. KSCE Journal of Civil Engineering 13(1):31–37, DOI: https://doi.org/10.1007/s12205-009-0031-x
Vu QV, Truong VH, George P, Carlos G, Kim SE (2019) Bend-buckling strength of steel plates with multiple longitudinal stiffeners. Journal of Constructional Steel Research 158:41–52, DOI: https://doi.org/10.1016/j.jcsr.2019.03.006
Wang XM, Hansen JS, Oguamanam DCD (2003) Layout optimization of stiffeners in stiffened composite plates with thermal residual stresses. Finite Elements in Analysis and Design 40(9):1233–1257, DOI: https://doi.org/10.1016/j.finel.2003.06.003
Wang D, Li ZH (2018) Layout optimization method for stiffeners of plate structure. Chinese Journal of Computational Mechanics 35(02): 138–143, DOI: https://doi.org/10.7511/jslx20161229001
Wang Q, Lu ZZ, Zhou CC (2011) New topology optimization method for wing leading-edge ribs. Journal of Aircraft 48(5):1741–1748, DOI: https://doi.org/10.2514/1.C031362
Wang B, Tian K, Hao P, Cai YW, Li YW, Sun Y (2015) Hybrid analysis and optimization of hierarchical stiffened plates based on asymptotic homogenization method. Composite Structures 132:136–147, DOI: https://doi.org/10.1016/j.compstruct.2015.05.012
Zbigniew S (2009) Least-weight topology and size optimization of high speed vehicle-passenger catamaran structure by genetic algorithm. Marine Structures 22(4):691–711, DOI: https://doi.org/10.1016/j.marstruc.2009.06.003
Zhang WH, Zhang SD, Gao T (2009) Stiffener layout optimization of thin-walled structures. Acta Aeronautica et Astronautica Sinica 30(11):2126–2131, DOI: https://doi.org/10.3321/j.issn:1000-6893.2009.11.018
Acknowledgments
This research was supported by the National Key R&D Program of China (2017YFC0703906), the Shanxi Provincial Key Research and Development Project (201903D121067), the Fund for Shanxi ‘1331 Project’ Key Subjects Construction (1331KSC).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhang, H., Qin, Y., Gu, J. et al. Layout Optimization of Stiffeners in Heavy-Duty Thin-Plate Box Grider. KSCE J Civ Eng 25, 3075–3083 (2021). https://doi.org/10.1007/s12205-021-2130-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12205-021-2130-2