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Vimal J.Savsani,Ghanshyam G.Tejani,Vivek K.Patel,Poonam Savsani 한국CDE학회 2017 Journal of computational design and engineering Vol.4 No.2
In thispaper,simultaneoussizeandtopologyoptimizationofplanarandspacetrussessubjectedtostaticanddynamicconstraintsareinvestigated. Allthebenchmarktrussesconsiderdiscretecross-sectionalareastoconsiderthepracticalaspectofmanufacturing.Moreover,Trusses areconsideredwithmultipleloadingconditionsandsubjectedtoconstraintsfornaturalfrequencies,elementstresses,nodaldisplacements, Eulerbucklingcriteria,andkinematicstabilityconditions.Trusstopologyoptimization(TTO)canbeaccomplishedbytheremoval ofsuperfluous elementsandnodesfromthehighlyhyperstatictrussalsoknownasthegroundstructureandresultsinthesavingofthemass ofthetruss.Inthismethod,thedifficulties ariseduetothesingularsolutionandunnecessaryanalysis;therefore,FEAmodelisreformedtoresolve thesedifficulties. The staticanddynamicresponsestotheTTOproblemsarechallengingduetoitssearchspace,whichisimplicit,non-convex,non-linear,andoften leadingtodivergence.Modified meta-heuristicsareeffectiveoptimizationmethodstohandlesuchproblemsinactualfact.Inthispaper,modified versionsofTeaching–Learning-Based Optimization(TLBO),HeatTransferSearch(HTS),WaterWaveOptimization(WWO),andPassing VehicleSearch(PVS)areproposedbyintegratingtherandommutation-basedsearchtechniquewiththem.Thispapercomparestheperformance offourmodified andfourbasicmeta-heuristicstosolvediscreteTTOproblems.
Tejani, Ghanshyam G.,Savsani, Vimal J.,Patel, Vivek K.,Savsani, Poonam V. Society for Computational Design and Engineering 2018 Journal of computational design and engineering Vol.5 No.2
In this study, simultaneous size, shape, and topology optimization of planar and space trusses are investigated. Moreover, the trusses are subjected to constraints for element stresses, nodal displacements, and kinematic stability conditions. Truss Topology Optimization (TTO) removes the superfluous elements and nodes from the ground structure. In this method, the difficulties arise due to unacceptable and singular topologies; therefore, the Grubler's criterion and the positive definiteness are used to handle such issue. Moreover, the TTO is challenging due to its search space, which is implicit, non-convex, non-linear, and often leading to divergence. Therefore, mutation-based metaheuristics are proposed to investigate them. This study compares the performance of four improved metaheuristics (viz. Improved Teaching-Learning-Based Optimization (ITLBO), Improved Heat Transfer Search (IHTS), Improved Water Wave Optimization (IWWO), and Improved Passing Vehicle Search (IPVS)) and four basic metaheuristics (viz. TLBO, HTS, WWO, and PVS) in order to solve structural optimization problems.
Ghanshyam G. Tejani,Vimal J.Savsani,Vivek K.Patel,Poonam V. Savsani 한국CDE학회 2018 Journal of computational design and engineering Vol.5 No.2
In this study, simultaneous size, shape, and topology optimization of planar and space trusses are inves-tigated. Moreover, the trusses are subjected to constraints for element stresses, nodal displacements, and kinematic stability conditions. Truss Topology Optimization (TTO) removes the superfluous elements and nodes from the ground structure. In this method, the difficulties arise due to unacceptable and singular topologies; therefore, the Grubler’s criterion and the positive definiteness are used to handle such issue. Moreover, the TTO is challenging due to its search space, which is implicit, non-convex, non-linear, and often leading to divergence. Therefore, mutation-based metaheuristics are proposed to investigate them. This study compares the performance of four improved metaheuristics (viz. Improved Teaching–Learning-Based Optimization (ITLBO), Improved Heat Transfer Search (IHTS), Improved Water Wave Optimization (IWWO), and Improved Passing Vehicle Search (IPVS)) and four basic metaheuristics (viz. TLBO, HTS, WWO, and PVS) in order to solve structural optimization problems.