09789nam 22004333 450 991080619300332120240203060212.03-031-48918-7(MiAaPQ)EBC31096155(Au-PeEL)EBL31096155(EXLCZ)993015689650004120240203d2024 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierChaotic Meta-Heuristic Algorithms for Optimal Design of Structures1st ed.Cham :Springer International Publishing AG,2024.©2024.1 online resource (349 pages)Studies in Computational Intelligence Series ;v.1129Print version: Kaveh, Ali Chaotic Meta-Heuristic Algorithms for Optimal Design of Structures Cham : Springer International Publishing AG,c2024 9783031489174 Intro -- Preface -- Contents -- 1 Introduction -- 1.1 Introduction -- 1.2 Traditional Optimization and Meta-heuristic Optimization -- 1.3 Chaotically Enhanced Meta-heuristic Algorithms -- 1.4 Chaos Embedded Meta-heuristic Algorithms for Optimal Design and Goals of This Book -- 1.5 Organization of the Present Book -- References -- 2 Chaotic Maps and Meta-heuristic Algorithms -- 2.1 Introduction -- 2.2 Chaotic Systems -- 2.2.1 Scientific History of Chaos Theory -- 2.2.2 Characteristics of Chaotic System -- 2.2.3 Bifurcation on Chaotic System -- 2.2.4 Attractor on Chaotic System -- 2.3 Introduction Chaos Maps and Forming Chaos Series -- 2.3.1 Logistic Map -- 2.3.2 Tent Map -- 2.3.3 Gauss Map -- 2.3.4 Liebovitch Map -- 2.3.5 Chebyshev Map -- 2.3.6 Sinusoidal Map -- 2.3.7 Piecewise Map -- 2.3.8 Lorens Attractor System -- 2.4 Chaos Series and Alternative Scenarios -- 2.5 Meta-heuristic Algorithms and Chaos Map -- 2.6 Concluding Remarks -- References -- 3 Chaotic Cyclical Parthenogenesis Algorithm -- 3.1 Introduction -- 3.2 Standard Cyclical Parthenogenesis Algorithm (CPA) -- 3.3 Basic Steps of Cyclical Parthenogenesis Algorithm -- 3.4 Chaos Enhanced Cyclical Parthenogenesis Algorithm (CCPA) -- 3.5 Constructive Role of Chaos Functions in Sensitivity Analysis -- 3.6 Truss Weight Optimization with Static Constraints -- 3.6.1 Formulation of the Structural Optimization Problems -- 3.6.2 Introduction of Selected Chaos Map -- 3.6.3 Numerical Examples of Optimal Truss Design -- 3.7 Truss Weight Optimization with Multiple Frequency Constraints -- 3.7.1 Formulation of the Structural Optimization with Frequency Constraints -- 3.7.2 Introduction of Selected Chaos Map -- 3.7.3 Numerical Examples of Optimal Truss Design -- 3.8 Concluding Remarks -- References -- 4 Chaotic Teaching Learning Based Optimization -- 4.1 Introduction.4.2 Standard Teaching-Learning-Based Optimization (TLBO) -- 4.3 Basic Steps in Standard Teaching-Learning-Based Optimization -- 4.4 Chaos Enhanced Teaching-Learning-Based Optimization (CTLBO) -- 4.5 Truss Weight Optimization with Static Constraints -- 4.5.1 Formation of the Objective Function and Constraint Conditions -- 4.5.2 Introduction of Selected Chaos Map -- 4.5.3 Numerical Examples of Optimal Truss Design -- 4.6 Truss Weight Optimization with Multiple Frequency Constraints -- 4.6.1 Truss Size and Layout Optimization with Multi Frequency Constraints -- 4.6.2 Introduction of Selected Chaos Map -- 4.6.3 Numerical Examples of Optimal Truss Design -- 4.7 Concluding Remarks -- References -- 5 Chaotic Biogeography Based Optimization -- 5.1 Introduction -- 5.2 Standard Biogeography-Based Optimization (BBO) -- 5.3 Basic Steps of Biogeography-Based Optimization -- 5.4 Chaos Enhanced Biogeography-Based Optimization (CBBO) -- 5.5 Truss Weight Optimization with Static Constraints -- 5.5.1 Formulation of the Structural Optimization Problems -- 5.5.2 Introduction of Selected Chaos Map -- 5.5.3 Numerical Examples of Optimal Truss Design -- 5.6 Truss Weight Optimization with Multiple Frequency Constraints -- 5.6.1 Formulation of the Structural Optimization with Multi-frequency Constraints -- 5.6.2 Numerical Examples of Optimal Truss Design -- 5.7 Concluding Remarks -- References -- 6 Chaotic Differential Evolution -- 6.1 Introduction -- 6.2 Standard Differential Evolution (DE) -- 6.3 Basic Steps of Differential Evolution -- 6.4 Chaos Differential Evolution (CDE) -- 6.5 Truss Weight Optimization with Static Constraints -- 6.5.1 Formulation of the Structural Optimization Problem -- 6.5.2 Numerical Examples -- 6.6 Concluding Remarks -- References -- 7 Chaotic Water Evaporation Optimization -- 7.1 Introduction -- 7.2 Standard Water Evaporation Optimization (WEO).7.3 Basic Steps in Standard Water Evaporation Optimization (WEO) -- 7.4 Chaos Enhanced Water Evaporation Optimization (CWEO) -- 7.5 Truss Weight Optimization with Static Constraints -- 7.5.1 Statement of the Structural Optimization Problems -- 7.5.2 Introduction of Selected Chaos Map -- 7.5.3 Numerical Examples of Optimal Truss Design -- 7.6 Truss Weight Optimization with Multiple Frequency Constraints -- 7.6.1 Coincidently Size and Topology Optimization of Skeletal Structures -- 7.6.2 Numerical Examples of Optimal Truss Design -- 7.7 Concluding Remarks -- References -- 8 Chaotic Artificial Bees Colony -- 8.1 Introduction -- 8.2 Standard Artificial Bees Colony (ABC) -- 8.3 Basic Steps in Artificial Bees Colony -- 8.4 Chaos Enhanced Artificial Bees Colony (CABC) -- 8.5 Truss Weight Optimization with Static Constraints -- 8.5.1 Formulation for Optimal Design of Skeletal Structures -- 8.5.2 Introduction of Selected Chaos Map -- 8.5.3 Numerical Examples of Optimal Truss Design -- 8.6 Truss Weight Optimization with Multiple Frequency Constraints -- 8.6.1 Formulation of the Structural Optimization with Frequency Constraints -- 8.6.2 Numerical Examples of Optimal Truss Design -- 8.7 Concluding Remarks -- References -- 9 Chaotic Imperialist Competitive Algorithm -- 9.1 Introduction -- 9.2 Standard Imperialist Competitive Algorithm (ICA) -- 9.3 Basic Steps in Imperialist Competitive Algorithm -- 9.4 Chaos-Embedded Imperialist Competitive Algorithm (CICA) -- 9.5 Truss Weight Optimization with Static Constraints -- 9.5.1 Formulation of the Structural Optimization Problems -- 9.5.2 Introduction of Selected Chaos Map -- 9.5.3 Numerical Examples of Optimal Truss Design -- 9.6 Truss Weight Optimization with Multiple Frequency Constraints -- 9.6.1 Formulation of the Structural Size and Layout Optimization with Frequency Constraints.9.6.2 Numerical Examples of Optimal Truss Design -- 9.7 Concluding Remarks -- References -- 10 Chaotic Shuffled Frog Leaping Algorithm -- 10.1 Introduction -- 10.2 Standard Shuffled Frog-Leaping Algorithm (SFLA) -- 10.3 Basic Steps in Shuffled Frog-Leaping Algorithm -- 10.4 Chaos-Embedded Shuffled Frog-Leaping Algorithm (CSFLA) -- 10.5 Truss Weight Optimization with Static Constraints -- 10.5.1 Formulation of the Structural Optimization Problems -- 10.5.2 Introduction of Selected Chaos Map -- 10.5.3 Numerical Examples of Optimal Truss Design -- 10.6 Truss Weight Optimization with Multiple Frequency Constraints -- 10.6.1 Formulation of the Structural Optimization with Frequency Constraints -- 10.6.2 Numerical Examples of Optimal Truss Design -- 10.7 Concluding Remarks -- References -- 11 Chaotic Particle Swarm Optimization -- 11.1 Introduction -- 11.2 Standard Particle Swarm Optimization (PSO) -- 11.3 Basic Steps in Particle Swarm Optimization -- 11.4 Chaos-Embedded Particle Swarm Optimization (CPSO) -- 11.5 Truss Weight Optimization with Multiple Frequency Constraints -- 11.5.1 Gaussian Map -- 11.5.2 Liebovitch Map -- 11.5.3 Piecewise Map -- 11.6 Formulation of Coincidently Size and Layout Optimization of Truss Structures -- 11.7 Numerical Examples of Optimal Truss Design -- 11.7.1 A Planar 10-Bar Truss -- 11.7.2 A Simply Supported 37-Bar Planar Truss -- 11.7.3 A 120-Bar Spatial Dome -- 11.7.4 A 200-Bar Planar Truss Structure -- 11.8 Concluding Remarks -- References -- 12 Chaotic Tug-of-War Optimization -- 12.1 Introduction -- 12.2 Standard Tug of War Optimization (TWO) -- 12.3 Basic Steps in Tug of War Optimization -- 12.4 Chaos-Embedded Tug of War Optimization (CTWO) -- 12.5 Truss Weight Optimization with Multiple Frequency Constraints -- 12.5.1 Logistics Map -- 12.5.2 Gauss Map.12.6 Formulation of the Structural Optimization with Frequency Constraints -- 12.6.1 Numerical Examples of Optimal Truss Design -- 12.7 Concluding Remarks -- References -- 13 Chaotic Thermal Exchange Optimization -- 13.1 Introduction -- 13.2 Standard Thermal Exchange Optimization (TEO) -- 13.3 Basic Steps in Thermal Exchange Optimization -- 13.4 Chaos-Embedded Thermal Exchange Optimization (CTEO) -- 13.5 Truss Weight Optimization with Multiple Frequency Constraints -- 13.6 Formulation of the Optimization Problems -- 13.6.1 Free Vibration and Natural Frequencies -- 13.6.2 Formulation Size and Layout Optimization with Multi Frequency Constraints -- 13.7 Numerical Examples of Optimal Truss Design -- 13.7.1 A Simply Supported 37-Bar Planar Truss -- 13.7.2 A 72-Bar Spatial Truss -- 13.7.3 A 120-Bar Spatial Dome -- 13.7.4 A 200-Bar Planar Truss Structure -- 13.8 Concluding Remarks -- References.Studies in Computational Intelligence SeriesKaveh Ali864693Yousefpoor Hossein1591955MiAaPQMiAaPQMiAaPQBOOK9910806193003321Chaotic Meta-Heuristic Algorithms for Optimal Design of Structures3907835UNINA