Weight reduction has attracted much attention among ship designers and ship owners. In the present
work, based on an improved bi-directional evolutionary structural optimization (BESO) method and surrogate
model method, we propose a hybrid optimization method for the structural design optimization of beam-plate
structures, which covers three optimization levels: dimension optimization, topology optimization and section
optimization. The objective of the proposed optimization method is to minimize the weight of design object under
a group of constraints. The kernel optimization procedure (KOP) uses BESO to obtain the optimal topology from
a ground structure. To deal with beam-plate structures, the traditional BESO method is improved by using cubic
box as the unit cell instead of solid unit to construct periodic lattice structure. In the first optimization level,
a series of ground structures are generated based on different dimensional parameter combinations, the KOP is
performed to all the ground structures, the response surface model of optimal objective values and dimension
parameters is created, and then the optimal dimension parameters can be obtained. In the second optimization
level, the optimal topology is obtained by using the KOP according to the optimal dimension parameters. In
the third optimization level, response surface method (RSM) is used to determine the section parameters. The
proposed method is applied to a hatch cover structure design. The locations and shapes of all the structural
members are determined from an oversized ground structure. The results show that the proposed method leads to
a greater weight saving, compared with the original design and genetic algorithm (GA) based optimization results.
LI Kai (李楷), YU Yanyun (于雁云), HE Jingyi (何靖仪), ZHAO Decai (赵德财), LIN Yan (林焰)
. Structural Optimization of Hatch Cover Based on Bi-directional Evolutionary Structure Optimization and Surrogate Model Method[J]. Journal of Shanghai Jiaotong University(Science), 2018
, 23(4)
: 538
.
DOI: 10.1007/s12204-018-1975-0
[1] YUAN Y, WANG D Y, LI Z. Optimization of shipstructure based on support vector machine [J]. ShipScience and Technology, 2013, 35(7): 12-17 (in Chinese).
[2] JANG C D, NA S S. Development of optimum structuraldesign system for double hull oil tankers [J]. Journalof the Society of Naval Architects of Korea, 2000,37(1): 118-126 (in Korean).
[3] YANG J M, HWANG C N. Optimization of corrugatedbulkhead forms by genetic algorithm [J]. Journal ofMarine Science and Technology, 2002, 10(2): 146-153.
[4] REN H J, ZHANG Q Y, HU Y M, et al. Optimizationof small waterplane area twin-hull ship structurebased on parametric sub-model [J]. Journal ofHuazhong University of Science and Technology (NaturalScience Edition), 2015, 43(11): 88-92 (in Chinese).
[5] SEKULSKI Z. Structural weight minimization of highspeed vehicle-passenger catamaran by genetic algorithm[J]. Polish Maritime Research, 2009, 16(2): 11-23.
[6] ANDRI′C J, ˇZANI′C V, GRGI′C M. Structural optimizationof corrugated transverse bulkheads made ofstainless steel [J]. Brodogradnja, 2010, 61(1): 18-27.
[7] QIUWQ, YANGDQ, GAOC, et al. Structural designin cargo tank region for oil tankers based on topologyoptimization [J]. Ship &Boat, 2016, 162(5): 1-11 (inChinese).
[8] TEMPLE D, COLETTE M. A goal-programming enhancedcollaborative optimization approach to reducinglifecyle costs for naval vessels [J]. Structural andMultidisciplinary Optimization, 2016, 53(6): 1261-1275.
[9] TAWFIK B E, LEHETA H, ELHEWY A, et al.Weightreduction and strengthening of marine hatch covers byusing composite materials [J]. International Journal ofNaval Architecture and Ocean Engineering, 2017, 9(2):185-198.
[10] UM T S, ROH M I. Optimal dimension design of ahatch cover for lightening a bulk carrier [J]. InternationalJournal of Naval Architecture and Ocean Engineering,2015, 7(2): 270-287.
[11] AKPAN U O, KOKO T S, AYYUB B M, et al.Reliability-based optimal design of steel box structures.II: Ship structure applications [J]. ASCE-ASMEJournal of Risk and Uncertainty in Engineering Systems,Part A: Civil Engineering, 2015, 1(3): 1-8.
[12] YANGW Z, YUE Z F, LI L, et al. Aircraft wing structuraldesign optimization based on automated finiteelement modelling and ground structure approach [J].Engineering Optimization, 2016, 48(1): 94-114.
[13] YU Y Y, LIN Y, CHEN M, et al. A new method forship inner shell optimization based on parametric technique[J]. International Journal of Naval Architectureand Ocean Engineering, 2015, 7(1): 142-156.
[14] ARRIETA A J, STRIZ A G. Optimal design of aircraftstructures with damage tolerance requirements [J].Structural and Multidisciplinary Optimization, 2005,30(2): 155-163.
[15] HUANG H Y,WANG D Y. Static and dynamic collaborativeoptimization of ship hull structure [J]. Journalof Marine Science and Application, 2009, 8(1): 77-82.
[16] KONG Y M, CHOI S H, SONG J D, et al. OPTSHIP:a new optimization framework and its application tooptimum design of ship structure [J]. Structural andMultidisciplinary Optimization, 2006, 32(5): 397-408.
[17] XIE Y M, STEVEN G P. Evolutionary structural optimizationfor dynamic problems [J]. Computers &Structures,1996, 58(6): 1067-1073.
[18] CHU D N, XIE Y M, HIRA A, et al. Evolutionarystructural optimization for problems with stiffness constraints[J]. Finite Elements in Analysis and Design,1996, 21(4): 239-251.
[19] YANG X Y, XIE Y M, STEVEN G P, et al. Bidirectionalevolutionary method for stiffness optimization[J]. AIAA Journal, 1999, 37(11): 1483-1488.
[20] QUERIN O M, YOUNG V, STEVEN G P, et al. Computationalefficiency and validation of bi-directionalevolutionary structural optimization [J]. ComputerMethods in Applied Mechanics and Engineering, 2000,189(2): 559-573.
[21] LIU J S, PARKS G T, CLARKSON P J. Metamorphicdevelopment: A new topology optimization methodfor continuum structures [J]. Structural and MultidisciplinaryOptimization, 2000, 20(4): 288-300.
[22] HUANG X D, XIE Y M, BURRY M C. A new algorithmfor bi-directional evolutionary structural optimization[J]. JSME International Journal, Series C:Mechanical Systems, Machine Elements and Manufacturing,2006, 49(4): 1091-1099.
[23] ZEGARD T, PAULINO G H. Bridging topology optimizationand additive manufacturing [J]. Structuraland Multidisciplinary Optimization, 2016, 53(1): 175-192.
[24] LEE J C, SHIN S C, KIM S Y. An optimal designof wind turbine and ship structure based on neuroresponsesurface method [J]. International Journal ofNaval Architecture and Ocean Engineering, 2015, 7(4):750-769.
[25] SU Z J, XIAO R B, ZHONG Y F. An improved multidisciplinaryfeasible method using DACE approximationapproach [J]. Journal of Systems Engineering andElectronics, 2005, 16(2): 335-340.
[26] SRINIVAS V, RAMANJANEYULU K. An integratedapproach for optimum design of bridge decks using geneticalgorithms and artificial neural networks [J]. Advancesin Engineering Software, 2007, 38(7): 475-487.
[27] LA ROCCA G, VAN TOOREN M J L. Knowledgebasedengineering approach to support aircraft multidisciplinarydesign and optimization [J]. Journal ofAircraft, 2009, 46(6): 1875-1885.
[28] MUHAMMAD S. Parameterized automated genericmodel for aircraft wing structural design and meshgeneration for finite element analysis [D]. Link¨oping,Sweden: Link¨oping University, 2011.
