Optimization Methods for Structural Engineering

Description

Preface Contents Editors and Contributors Part I Optimization of Weight, Shape and Size of Structures Using Different Nature-Inspired Metaheuristic Algorithms 1 Review of Tuning Mass Dampers and Application of Improved Harmony Search 1.1 Introduction 1.2 Review of TMD and ATMD 1.2.1 Tuned Mass Dampers 1.2.2 Active Tuned Mass Dampers 1.3 Modified Harmony Search Algorithm 1.4 The Optimization Problem 1.5 Numerical Examples 1.6 Conclusions References 2 Optimal Design of Trusses: The Force Density Perspective 2.1 Introduction 2.1.1 Motivation of the Study 2.1.2 Archgrids, Cable Nets, and Polygonal Chains 2.1.3 Basic and Optimal Form-Finding Problems. Polygonal Chains of Minimum Weight 2.2 Force Density Method and Its Applications 2.2.1 The Concept of Force Density 2.2.2 Optimal Form-Finding in Terms of Force Densities 2.3 Numerical Examples 2.3.1 Single Cable of Minimum Volume 2.3.2 Cable Nets of Minimum Volume 2.3.3 Trusses of Minimum Volume 2.4 Conclusions References 3 CI-SAPF for Structural Optimization Considering Buckling and Natural Frequency Constraints 3.1 Introduction 3.2 Cohort Intelligence (CI) 3.3 Test Problems 3.4 Result Analysis and Discussion 3.5 Conclusion References 4 Improved Drosophila Food-Search Algorithm for Structural and Mechanical Optimization Problems 4.1 Introduction 4.2 Drosophila Food-Search Algorithm (DFO) 4.3 Improved Drosophila Food-Search Algorithm (IDFO) 4.4 Numerical Tests 4.5 Design of Welded Beam Problem 4.6 Design of Tubular Column System 4.6.1 Design of 72-Bar Truss Structure 4.7 Non-Parametric Statistical Tests 4.8 Conclusions References 5 Truss Structure Optimization Using Constrained Version of Variations of Cohort Intelligence 5.1 Introduction 5.2 Mechanism of Follow-Best and Follow-Better Approach with SAPF 5.3 Truss Structure Test Problems 5.4 Results and Discussion 5.5 Conclusions and Future Directions References 6 Hybridization of Cohort Intelligence and Fuzzy Logic (CIFL) for Truss Structure Problems 6.1 Introduction 6.2 Cohort Intelligence (CI) Algorithm 6.2.1 Self-Adaptive Penalty Function (SAPF) 6.3 Fuzzy Logic 6.3.1 Fuzzy Logic Architecture 6.4 Framework of CIFL 6.5 Three-Bar Truss Structure Problems 6.6 Results Analysis and Discussion 6.7 Conclusions References 7 Optimum Design of BRB Frame Based on Drift Uniformity, Structure Weight, and Seismic Parameters Using Nonlinear Time History Analysis 7.1 Introduction 7.2 Multi-objective Optimization 7.2.1 Structural Geometry 7.2.2 Nonlinear Structural Modeling 7.2.3 Time History Analysis 7.2.4 Ground Motion Records 7.3 Optimization Process 7.3.1 Formulation of the Optimization Problem 7.3.2 Design Variables 7.3.3 Design Constraints 7.3.4 Objective Functions 7.3.5 Evaluation of Optimization Results 7.4 Results of Optimization Algorithms for 6-Story Structures 7.5 Results of Optimization Algorithms for 10-Story Structures 7.6 Comparison of the Results of Optimization Algorithms for 6- and 10-Story Structures 7.7 Comparison of the Results of All Multi-objective Optimization of 6- and 10-Story Structures with the Results of Static Linear Analysis 7.8 Conclusion References Part II Topology Optimization and Design of Structures Under Dynamic Conditions Using Finite Element Methods 8 Topology Optimization in Linear Elasticity, Plasticity and Fracture Mechanics 8.1 Introduction 8.2 Existing Methods 8.3 Mathematical Framework of Shape Optimization 8.3.1 Problem Formulation 8.3.2 Hadamard's Approach 8.3.3 Shape Derivative Computation for Linear Elasticity 8.4 Level-Set Method 8.4.1 Ersatz Material Approach 8.4.2 Remeshing 8.4.3 Regularization and Extension of the Shape Derivative (8.14) 8.4.4 Imposing a Non-optimizable Domain 8.4.5 Shape Optimization Algorithm 8.5 Numerical Results: Linear Elasticity 8.5.1 3D Cantilever 8.5.2 3D L-beam 8.6 TO in Plasticity with Linear Kinematic and Linear Isotropic Hardening 8.6.1 Governing Equations 8.6.2 Variational (Primal) Formulation 8.6.3 Penalization and Regularization 8.6.4 Shape Derivative Computation 8.6.5 Numerical Implementation 8.6.6 Regularization and Extension of the Shape Derivative 8.7 Numerical Results: Plasticity 8.7.1 2D Cantilever 8.7.2 3D Cantilever 8.7.3 3D Wedge 8.8 TO in Fracture Mechanics 8.8.1 Governing Laws and Variational Formulation 8.8.2 Optimization Problem 8.8.3 Shape Derivative Computation 8.8.4 Time Discretized State and Adjoint Equations 8.8.5 Numerical Implementation 8.9 Numerical Results: Fracture 8.9.1 2D Cantilever 8.9.2 2D L-Beam 8.9.3 Coarse 3D Column 8.9.4 Fine 3D Column 8.10 Conclusion References 9 Design of Quarter Car Model for Active Suspension System and Control Optimization 9.1 Introduction 9.2 Methodology 9.3 Results 9.4 Discussion 9.5 Future Scope 9.6 Conclusions References