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Table of Contents
Preface; Contents; Chapter 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; Chapter 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 Examples2.5.3.1 A 10-Bar Truss; 2.5.3.2 A Simply Supported 37-Bar Planar Truss; 2.5.3.3 A 52-Bar Dome-Like Truss; 2.5.3.4 A 120-Bar Dome Truss; References; Chapter 3: Charged System Search Algorithm; 3.1 Introduction; 3.2 Charged System Search; 3.2.1 Background; 3.2.1.1 Electrical Laws; 3.2.1.2 The Governing Laws of Motion from the Newtonian Mechanics; 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.
3.4.1.1 Constraint Conditions for Truss Structures3.4.1.2 Constraint Conditions for Frame Structures; 3.4.1.3 Design Loads for Frame Structures; 3.4.2 CSS Algorithm-Based Structural Optimization Procedure; 3.5 Numerical Examples; 3.5.1 A Benchmark Truss; 3.5.2 A 120-Bar Dome Truss; 3.5.3 A 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; Chapter 4: Magnetic Charged System Search; 4.1 Introduction.
4.2 Magnetic Charged System Search Method4.2.1 Magnetic Laws; 4.2.1.1 Magnetic Fields; 4.2.1.2 Magnetic Forces; 4.2.2 A Brief Introduction to Charged System Search Algorithm; 4.2.3 Magnetic Charged System Search Algorithm; 4.2.3.1 Combination of Magnetic and Electric forces; 4.2.3.2 MCSS Algorithm; 4.2.4 Numerical Examples; 4.2.4.1 Mathematical Benchmark Functions; Comparison Between MCSS, CSS, and a Set of Genetic Algorithms; Numerical Results; Statistical Test; 4.2.4.2 Comparison Between MCSS and Other State-of-the-Art Algorithms; Description of Test Functions and Algorithms.
Numerical Results and Statistical Test4.2.5 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; 4.3.2.1 Statement of the Optimization Problem; 4.3.2.2 Numerical Examples; References; Chapter 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 An FOF-Based General Method.
2.5.3 Numerical Examples2.5.3.1 A 10-Bar Truss; 2.5.3.2 A Simply Supported 37-Bar Planar Truss; 2.5.3.3 A 52-Bar Dome-Like Truss; 2.5.3.4 A 120-Bar Dome Truss; References; Chapter 3: Charged System Search Algorithm; 3.1 Introduction; 3.2 Charged System Search; 3.2.1 Background; 3.2.1.1 Electrical Laws; 3.2.1.2 The Governing Laws of Motion from the Newtonian Mechanics; 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.
3.4.1.1 Constraint Conditions for Truss Structures3.4.1.2 Constraint Conditions for Frame Structures; 3.4.1.3 Design Loads for Frame Structures; 3.4.2 CSS Algorithm-Based Structural Optimization Procedure; 3.5 Numerical Examples; 3.5.1 A Benchmark Truss; 3.5.2 A 120-Bar Dome Truss; 3.5.3 A 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; Chapter 4: Magnetic Charged System Search; 4.1 Introduction.
4.2 Magnetic Charged System Search Method4.2.1 Magnetic Laws; 4.2.1.1 Magnetic Fields; 4.2.1.2 Magnetic Forces; 4.2.2 A Brief Introduction to Charged System Search Algorithm; 4.2.3 Magnetic Charged System Search Algorithm; 4.2.3.1 Combination of Magnetic and Electric forces; 4.2.3.2 MCSS Algorithm; 4.2.4 Numerical Examples; 4.2.4.1 Mathematical Benchmark Functions; Comparison Between MCSS, CSS, and a Set of Genetic Algorithms; Numerical Results; Statistical Test; 4.2.4.2 Comparison Between MCSS and Other State-of-the-Art Algorithms; Description of Test Functions and Algorithms.
Numerical Results and Statistical Test4.2.5 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; 4.3.2.1 Statement of the Optimization Problem; 4.3.2.2 Numerical Examples; References; Chapter 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 An FOF-Based General Method.