ADVANCES IN METAHEURISTIC ALGORITHMS FOR OPTIMAL DESIGN OF STRUCTURES

✍ Scribed by ALI KAVEH

• Publisher: SPRINGER NATURE
• Year: 2021
• Tongue: English
• Leaves: 890
• Edition: 3
• Category: Library

✦ Table of Contents

Preface
Contents
1 Introduction
1.1 Metaheuristic Algorithms for Optimization
1.2 Optimal Design of Structures and Goals of the Present Book
1.3 Organization of the Present Book
References
2 Particle Swarm Optimization
2.1 Introduction
2.2 PSO Algorithm
2.2.1 Development
2.2.2 PSO Algorithm
2.2.3 Parameters
2.2.4 Premature Convergence
2.2.5 Topology
2.2.6 Biases
2.3 Hybrid Algorithms
2.4 Discrete PSO
2.5 Democratic PSO for Structural Optimization
2.5.1 Description of the Democratic PSO
2.5.2 Truss Layout and Size Optimization with Frequency Constraints
2.5.3 Numerical Examples
References
3 Charged System Search Algorithm
3.1 Introduction
3.2 Charged System Search
3.2.1 Background
3.2.2 Presentation of Charged Search System
3.3 Validation of CSS
3.3.1 Description of the Examples
3.3.2 Results
3.4 Charged System Search for Structural Optimization
3.4.1 Statement of the Optimization Design Problem
3.4.2 CSS Algorithm-Based Structural Optimization Procedure
3.5 Numerical Examples
3.5.1 A Benchmark Truss
3.5.2 The 120-Bar Dome Truss
3.5.3 The 26-Story-Tower Space Truss
3.5.4 An Unbraced Space Frame
3.5.5 A Braced Space Frame
3.6 Discussion
3.6.1 Efficiency of the CSS Rules
3.6.2 Comparison of the PSO and CSS
3.6.3 Efficiency of the CSS
References
4 Magnetic Charged System Search
4.1 Introduction
4.2 Magnetic Charged System Search Method
4.2.1 Magnetic Laws
4.2.2 A Brief Introduction to Charged System Search Algorithm
4.2.3 Magnetic Charged System Search Algorithm
4.2.4 Numerical Examples
4.2.5 Engineering Examples
4.3 Improved Magnetic Charged System Search
4.3.1 A Discrete IMCSS
4.3.2 An Improved Magnetic Charged System Search for Optimization of Truss Structures with Continuous and Discrete Variables
References
5 Field of Forces Optimization
5.1 Introduction
5.2 Formulation of the Configuration Optimization Problems
5.3 Fundamental Concepts of the Fields of Forces
5.4 Necessary Definitions for a FOF-Based Model
5.5 A FOF-Based General Method
5.6 An Enhanced Charged System Search Algorithm for Configuration Optimization
5.6.1 Review of the Charged System Search Algorithm
5.6.2 An Enhanced Charged System Search Algorithm
5.7 Design Examples
5.7.1 The 18-Bar Planar Truss
5.7.2 The 25-Bar Spatial Truss
5.7.3 The 120-Bar Dome Truss
5.8 Discussion
References
6 Dolphin Echolocation Optimization
6.1 Introduction
6.2 Dolphin Echolocation in Nature
6.3 Dolphin Echolocation Optimization
6.3.1 Introduction to Dolphin Echolocation
6.3.2 Dolphin Echolocation Algorithm
6.4 Structural Optimization
6.5 Numerical Examples
6.5.1 Truss Structures
References
7 Colliding Bodies Optimization
7.1 Introduction
7.2 Colliding Bodies Optimization
7.2.1 The Collision Between Two Bodies
7.2.2 The CBO Algorithm
7.2.3 Test Problems and Optimization Results
7.3 CBO for Optimum Design of Truss Structures with Continuous Variables
7.3.1 Flowchart of the CBO Algorithm
7.3.2 Numerical Examples
7.3.3 Discussion
References
8 Ray Optimization Algorithm
8.1 Introduction
8.2 Ray Optimization for Continuous Variables
8.2.1 Definitions and Concepts from Ray Theory
8.2.2 Ray Optimization Method
8.2.3 Validation of the Ray Optimization
8.3 Ray Optimization for Size and Shape Optimization of Truss Structures
8.3.1 Formulation
8.3.2 Design Examples
8.4 Improved Ray Optimization Algorithm for Design of Truss Structures
8.4.1 Introduction
8.4.2 Improved Ray Optimization Algorithm
8.4.3 Mathematical and Structural Design Examples
References
9 Modified Big Bang-Big Crunch Algorithm
9.1 Introduction
9.2 MBB–BC Method
9.2.1 Introduction to BB–BC Method
9.2.2 A Modified BB–BC Algorithm
9.3 Size Optimization of Space Trusses Using a MBB-BC Algorithm
9.3.1 Formulation
9.3.2 Design Examples
9.4 Optimal Design of Schwedler and Ribbed Domes Using MBB-BC Algorithm
9.4.1 Introduction
9.4.2 Dome Structure Optimization Problems
9.4.3 Psudo-Code of the Modified Big Bang-Big Crunch Algorithm
9.4.4 Elastic Critical Load Analysis of Spatial Structures
9.4.5 Configuration of Schwedler and Ribbed Domes
9.4.6 Results and Discussion
9.4.7 Discussion
References
10 Cuckoo Search Optimization
10.1 Introduction
10.2 Optimum Design of Truss Structures Using Cuckoo Search Algorithm with Lévy Flights
10.2.1 Formulation
10.2.2 Lévy Flights as Random Walks
10.2.3 Cuckoo Search Algorithm
10.2.4 Optimum Design of Truss Structures Using Cuckoo Search Algorithm
10.2.5 Design Examples
10.2.6 Discussions
10.3 Optimum Design of Steel Frames
10.3.1 Optimum Design of Planar Frames
10.3.2 Optimum Design of Steel Frames Using Cuckoo Search Algorithm
10.3.3 Design Examples
10.3.4 Discussions
References
11 Imperialist Competitive Algorithm
11.1 Introduction
11.2 Optimum Design of Skeletal Structures
11.2.1 Constraint Conditions for Truss Structures
11.2.2 Constraints Conditions for Steel Frames
11.3 Imperialist Competitive Algorithm
11.4 Design Examples
11.4.1 Design of the 120-Bar Dome Shaped Truss
11.4.2 Design of the 72-Bar Spatial Truss
11.4.3 Design of the 3-Bay, 15-Story Frame
11.4.4 Design of the 3-Bay 24-Story Frame
11.5 Discussions
References
12 Chaos Embedded Metaheuristic Algorithms
12.1 Introduction
12.2 An Overview of Chaotic Systems
12.2.1 Logistic Map
12.2.2 Tent Map
12.2.3 Sinusoidal Map
12.2.4 Gauss Map
12.2.5 Circle Map
12.2.6 Sinus Map
12.2.7 Henon Map
12.2.8 Ikeda Map
12.2.9 Zaslavskii Map
12.3 Use of Chaotic Systems in Metaheuristics
12.4 Chaotic Update of Internal Parameters for Metaheuristics
12.5 Chaotic Search Strategy in Metaheuristics
12.6 A New Combination of Metaheuristics and Chaos Theory
12.6.1 The Original PSO
12.6.2 The CPVPSO Phase
12.6.3 The CLSPSO Phase
12.6.4 Design Examples
12.7 Concluding Remarks
References
13 Enhanced Colliding Bodies Optimization
13.1 Introduction
13.2 Structural Optimization
13.3 An Enhanced Colliding Bodies Optimization (ECBO)
13.3.1 A Brief Explanation of the CBO Algorithm
13.3.2 The ECBO Algorithm
13.4 Mathematical Optimization Problems
13.5 Design Examples
13.5.1 The 25-Bar Space Truss
13.5.2 The 72-Bar Space Truss
13.5.3 The 582-Bar Tower Truss
13.5.4 The 3-Bay 15-Story Frame
13.5.5 The 3-Bay 24-Story Frame
13.6 Concluding Remarks
References
14 Global Sensitivity Analysis-Based Optimization Algorithm
14.1 Introduction
14.2 Background Study
14.2.1 Variance-Based Sensitivity Indices
14.2.2 The Variance-Based Sensitivity Analysis Using Space-Partition Method
14.3 Global Sensitivity Analysis Based Algorithm
14.3.1 Methodology
14.4 Numerical Examples
14.4.1 Design of a Tension/Compression Spring
14.4.2 A Constraint Function
14.4.3 The 17-Bar Planar Truss Problem
14.4.4 The 72-Bar Spatial Truss Structure
14.4.5 The 120-Bar Truss Dome
14.5 Concluding Remarks
References
15 Tug of War Optimization
15.1 Introduction
15.2 Tug of War Optimization Method
15.2.1 Idealized Tug of War Framework
15.2.2 Tug of War Optimization Algorithm
15.3 Mathematical and Engineering Design Problems
15.3.1 Mathematical Optimization Problems
15.3.2 Engineering Design Problems
15.4 Structural Optimization Problems
15.4.1 Truss Weight Optimization with Static Constraints
15.4.2 Truss Weight Optimization with Dynamic Constraints
15.5 Concluding Remarks
References
16 Water Evaporation Optimization Algorithm
16.1 Introduction
16.2 Basic Water Evaporation Optimization Algorithm
16.3 Water Evaporation Optimization with Mixed Phases
16.4 Test Problems and Optimization Results
16.4.1 The 25-Bar Special Tower Truss
16.4.2 The 72-Bar Special Truss
16.4.3 The 3-Bay 15-Story Frame
16.4.4 The 3-Bay 24-Story Frame
16.5 Concluding Remarks
References
17 Vibrating Particles System Algorithm
17.1 Introduction
17.2 Formulation of the Structural Optimization Problems
17.3 The Damped Free Vibration
17.4 A New Metaheuristic Algorithm Based on the Vibrating Particles System
17.5 Search Behavior of the Vibrating Particles System Algorithm
17.6 Test Problems and Optimization Results
17.6.1 The 120-Bar Spatial Dome Shaped Truss
17.6.2 The 200-Bar Planar Truss
17.6.3 The 3-Bay 15-Story Frame Problem
17.6.4 The 3-Bay 24-Story Frame Problem
17.7 Concluding Remarks
References
18 Cyclical Parthenogenesis Optimization Algorithm
18.1 Introduction
18.2 Cyclical Parthenogenesis Algorithm
18.2.1 Aphids and Cyclical Parthenogenesis
18.2.2 Description of Cyclical Parthenogenesis Algorithm
18.3 Sensitivity Analysis of CPA
18.4 Test Problems and Optimization Results
18.4.1 Mathematical Optimization Problems
18.4.2 Truss Design Problems
18.5 Concluding Remarks
References
19 Optimal Design of Large-Scale Frame Structures
19.1 Introduction
19.2 Code Based Design Optimization of Steel Frames
19.3 Cascade Sizing Optimization Utilizing Series of Design Variable Configurations
19.3.1 Cascade Optimization Strategy
19.3.2 Multi-DVC Cascade Optimization
19.4 Colliding Body Optimization and Its Enhanced Version
19.4.1 A Brief Explanation of the CBO Algorithm
19.4.2 The ECBO Algorithm
19.5 Numerical Examples
19.5.1 The 1860-Member Steel Space Frame
19.5.2 The 3590-Member Steel Space Frame
19.5.3 The 3328-Member Steel Space Frame
19.6 Concluding Remarks
References
20 Shuffled Shepherd Optimization Algorithm
20.1 Introduction
20.2 Shuffle Shepherd Optimization Algorithm
20.2.1 Inspiration
20.2.2 Mathematical Model
20.2.3 Steps of the Optimization Algorithm
20.3 Validation of the SSOA
20.3.1 Mathematical Optimization Problems
20.3.2 Engineering Optimization Problems
20.4 Numerical Examples
20.4.1 The 72-Bar Spatial Truss
20.4.2 The 200-Bar Planar Truss
20.4.3 The 272-Bar Transmission Tower
20.4.4 The 582-Bar Tower Truss
20.4.5 The 1016-Bar Double-Layer Grid
20.5 Concluding Remarks
References
21 Set Theoretical Shuffled Shepherd Optimization Algorithm
21.1 Introduction
21.2 Shuffled Shepherd Optimization Algorithm
21.3 Set Theoretical Shuffled Shepherd Optimization Algorithm (ST-SSOA)
21.4 Definition of the Optimization Problem
21.5 Analysis of Reinforced Concrete Cantilever Retaining Wall Structures
21.5.1 Active and Passive Earth Pressures
21.5.2 Stability Control
21.6 Results and Discussion
21.7 Concluding Remarks
References
22 Set Theoretical Teaching-Learning-Based Optimization Algorithm
22.1 Introduction
22.2 Teaching-Learning-Based Optimization (TLBO) Algorithm
22.3 Set Theoretical Variants of Teaching-Learning-Based Optimization Algorithm
22.3.1 Ordered Set Theoretical Teaching-Learning-Based Optimization (OST-TLBO) Algorithm
22.3.2 Set Theoretical Multi-phase Teaching-Learning-Based Optimization (STMP-TLBO) Algorithm
22.4 Formulation of Truss Optimization Problems with Frequency Constraints
22.5 Numerical Examples
22.5.1 The 37-Bar Planar Truss
22.5.2 The 52-Bar Dome-like Truss
22.5.3 The 120-Bar Dome-like Truss
22.5.4 The 200-Bar Planar Truss
22.6 Concluding Remarks
References
23 Thermal Exchange Metaheuristic Optimization Algorithm
23.1 Introduction
23.2 Thermal Exchange Optimization
23.2.1 Background
23.2.2 Presentation of Thermal Exchange Optimization
23.3 Verification of the Algorithm
23.3.1 Exploration and Exploitation
23.3.2 Sensitivity Analysis
23.3.3 Convergence Curves
23.3.4 Verification of the Search History
23.4 Benchmark Functions
23.4.1 Mathematical Optimization Problems
23.4.2 Engineering Optimization Problems
23.5 Concluding Remarks
23.6 Improved Thermal Exchange Optimization
23.6.1 Improvement on t Parameter
23.6.2 Improvement on β Parameter
23.6.3 Improvement on Thermal Updating Equation
23.6.4 Pseudo-Code of the ITEO
23.6.5 Constraint Handling
23.7 Numerical Examples
23.7.1 The Spatial 25-Bar Truss
23.7.2 The Spatial 72-Bar Truss
23.7.3 The Three-Bay Fifteen-Story Frame
23.7.4 The Three-Bay Twenty Four-Story Frame
23.8 Concluding Remarks
References
24 Water Strider Optimization Algorithm and Its Enhancement
24.1 Introduction
24.2 Water Strider Optimizer
24.2.1 Inspiration
24.2.2 Mathematical Model and Algorithm
24.2.3 Computational Complexity of the WSA
24.3 Numerical Experiments
24.3.1 Phase I: Exploration and Exploitation Behavior of WSA
24.3.2 Phase I: Convergence Rate
24.3.3 Phase I: Monitoring the Position of WSs
24.3.4 Phase II: Verification Against Possible Biases
24.4 Engineering Design Problems
24.4.1 Welded Beam Design Problem
24.4.2 Three-Bar Truss Design Problem
24.4.3 Compound Gear Design Problem
24.4.4 Cantilever Beam Design Problem
24.4.5 Application of WSA in Structural Health Monitoring
24.4.6 Application of WSA in Optimal Design of Double-Layer Barrel Vaults
24.5 Discussion on the Results and Conclusions
24.6 Dynamic Water Strider Algorithm
24.6.1 Dynamic Number of Territories
24.6.2 Dynamic Approaching Distance
24.6.3 Numerical Experiments
24.6.4 The 25-Bar Spatial Transmission Tower
24.6.5 The 72-Bar Spatial Truss
24.6.6 The 3-Bay 15-Story Frame Example
24.7 Concluding Remarks
References
25 Multi-objective Optimization of Truss Structures
25.1 Introduction
25.2 Multi-objective Optimization Concepts
25.3 Charged System Search Algorithm
25.4 Multi-objective Charged System Search Optimization Algorithm
25.4.1 Algorithm
25.5 Multi-criteria Decision Making
25.6 Numerical Examples
25.6.1 Design of a 2-Bar Truss Design
25.6.2 Design of an I-Beam
25.6.3 Design of a Welded Beam
25.6.4 Design of a 25-Bar Truss
25.6.5 Design of a 56-Bar
25.6.6 Design of a 272-Bar Transmission Tower
25.7 Concluding Remarks
References
Index