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__Topology Design Methods for Structural Optimization__ provides engineers with a basic set of design tools for the development of 2D and 3D structures subjected to single and multi-load cases and experiencing linear elastic conditions. Written by an expert team who has collaborated over the past decade to develop the methods presented, the book discusses essential theories with clear guidelines on how to use them. Case studies and worked industry examples are included throughout to illustrate practical applications of topology design tools to achieve innovative structural solutions. The text is intended for professionals who are interested in using the tools provided, but does not require in-depth theoretical knowledge. It is ideal for researchers who want to expand the methods presented to new applications, and includes a companion website with related tools to assist in further study. * Provides design tools and methods for innovative structural design, focusing on the essential theory * Includes case studies and real-life examples to illustrate practical application, challenges, and solutions * Features accompanying software on a companion website to allow users to get up and running fast with the methods introduced * Includes input from an expert team who has collaborated over the past decade to develop the methods presented Cover Topology Design Methods for Structural Optimization Copyright Dedication Preface 1 Introduction 1.1 Structural Optimization (SO) 1.2 Topology Optimization 1.2.1 Homogenization Method for Topology Optimization 1.2.2 Solid Isotropic Material with Penalization (SIMP) 1.2.3 Fully Stressed Design (FSD) 1.2.4 Computer-Aided Shape Optimization (CAO) 1.2.5 Soft Kill Option (SKO) 1.2.6 Evolutionary Structural Optimization (ESO) 1.2.7 Bidirectional ESO (BESO) 1.3 Book Layout References 2 Growth Method for the Size, Topology, and Geometry Optimization of Truss Structures* 2.1 Introduction 2.2 The Growth Method 2.3 Domain Specification 2.4 Topology and Size Optimization 2.5 Geometry Optimization 2.6 Optimality Verification 2.7 Topology Growth 2.8 Practical Criteria to Limit the Number of Added Bars to New Joints 2.8.1 Limiting the Number of Crossed Bars 2.8.2 Using Orthogonality and Maximum Degree of Indeterminacy References 3 Discrete Method of Structural Optimization* 3.1 Introduction 3.2 The Sequential Element Rejection and Admission (SERA) Algorithm 3.3 Definition of the Objective Function 3.3.1 Stress-Based Objective Function 3.3.2 Compliant-Based Objective Function 3.3.3 Multiple-Criteria Objective Function 3.3.4 Mutual Potential Energy Objective Function 3.4 The SERA Parameters 3.4.1 The Limit Volume Fraction 3.4.2 Controlling the Rate of Material Admission and Removal 3.4.3 The Smoothing Ratio 3.4.4 The Material Redistribution Fraction 3.4.5 The Filter Radius 3.4.6 Convergence Limit 3.5 The Initial Design Domain 3.6 The Volume Fraction to be Redistributed 3.6.1 Determine the Volume Fraction to be Rearranged 3.6.2 Material Redistribution 3.7 The Finite Element Analysis 3.8 The Elemental Criterion Value 3.8.1 Elemental Criterion for a Fully Stressed Design 3.8.2 Elemental Criterion for Minimum Compliance 3.8.3 Elemental Criterion for Multiple Criteria 3.8.4 Elemental Criterion for Compliant Mechanisms 3.9 Mesh Independent Filtering 3.10 Convergence Criterion References Further Reading 4 Continuous Method of Structural Optimization 4.1 Introduction 4.2 The Isolines Topology Design Algorithm 4.3 The Optimization Problem 4.3.1 Criterion Selection 4.3.2 Criterion for Problems with Different Tensile and Compressive Structural Behaviour 4.3.3 Nondesign Domain Region 4.4 The ITD Parameters 4.4.1 Target Final Design Volume 4.4.2 Total Number of Iterations 4.4.3 Total Number of Load Cases 4.4.4 Total Number of Material Phases 4.4.5 The Weighting Factor for the Different Material Phases 4.4.6 The Minimum Volume Change Limit 4.5 Analysis of the Design Domain 4.5.1 Fixed Grid Finite Element Method 4.5.2 Calculating the Elemental Criterion Value 4.5.3 Calculating the Nodal Criterion Value 4.5.4 Initial Design Domain Analysis 4.5.4.1 For Problems With Multiple Load Cases and Material Phases 4.5.4.2 For Problems with Different Tensile and Compressive Structural Behaviour 4.5.5 Reanalysis of the Design Domain Analysis 4.5.5.1 For Problems with Multiple Load Cases and Material Phases 4.5.5.2 For Problems With Different Tensile and Compressive Structural Behaviour 4.6 Determining the Target Volume 4.7 Determining the Minimum Criterion Level (MCL) 4.7.1 MCL for Single Load Case Problems 4.7.2 MCL for Multiple Load Case Problems 4.7.3 MCL for Multiple Material Phases Problems 4.8 Determination of the Structural Shape or Surface 4.8.1 Determination of the Isolines for 2D Problems 4.8.2 Determination of the Isosurfaces for 3D Problems 4.9 Structural Boundary Stabilization References 5 Hands-On Applications of Structural Optimization 5.1 Introduction 5.2 Michell Cantilever 5.3 Messerschmidt-Bölkow-Blohm Beam 5.4 Michell Cantilever With Fixed Circular Boundary 5.5 Michell Beam With Fixed Supports 5.6 Michell Beam With Roller Support 5.7 Square Under Torsion 5.8 Michell Beam With Roller Support and Multiple Load Cases 5.9 Prager Cantilever 5.10 Inverter Mechanism 5.11 Gripper Mechanism 5.12 Crunching Mechanism References 6 Topology Optimization as a Digital Design Tool 6.1 Introduction 6.2 Effect of Different Load Angle on a Michell Cantilever 6.3 Tap or Faucet Design 6.4 Exercise Bar Support Arm 6.5 Hemispherical Dome Structure 6.6 Bridge Structure With Nondesign Domain 6.7 Single Short Corbel 6.8 Double-Sided Beam-to-Column Joint 6.9 Metallic Insert 6.10 Electric Mast References 7 User Guides for Enclosed Software* 7.1 Introduction 7.2 Truss Topology Optimization (TTO) Program 7.2.1 System Requirements and Installation of TTO 7.2.2 Overview of the TTO Graphical User Interface 7.2.2.1 Title Bar 7.2.2.2 Menu Bar 7.2.2.3 Button Bar 7.2.2.4 Display Area Bar 7.2.2.5 Program Options Bar 7.2.2.6 Status Bar 7.3 Step-by-Step Guide to Use TTO 7.3.1 Using TTO 7.3.2 TTO Models in the Included Files 7.4 SERA Topology Optimization Program 7.4.1 SERA Matlab Code 7.5 Modifying the SERA Code to Solve Different Examples 7.5.1 The Messerschmidt-Bölkow-Blohm Beam (MBB) 7.5.2 The Michell Cantilever 7.5.3 Multiple Load Case Problem 7.5.4 Structures with Passive Elements 7.5.5 Compliant Mechanism Problems 7.6 Isolines Topology Design Program (liteITD) 7.6.1 System Requirements and Installation of liteITD Software 7.6.2 Overview of the liteITD Interface 7.6.2.1 Title Bar 7.6.2.2 Menu Bar 7.6.2.3 Button Bar Main Toolbar View Toolbar Optimization Run Toolbar Material Toolbar Miscellaneous Buttons 7.7 Step-by-Step Guide to Use liteITD 7.7.1 Define the Design Workbench Dimensions 7.7.2 Draw the Geometric Model 7.7.3 Specify the Material Properties 7.7.4 Generate the Finite Element Mesh 7.7.5 Apply the DOF Constraints 7.7.6 Apply the Loading Conditions 7.7.7 Specify the liteITD Parameters and Run Optimization 7.7.8 View the Resulting Optimal Design 7.8 Additional liteITD Examples 7.8.1 Michell Cantilever under Multiple Loading Conditions 7.8.2 Michell Cantilever with Different Properties in Tension and Compression 7.8.3 Michell Cantilever Using Multimaterials 7.9 Appropriate Equivalent Units References Index Back Cover Front Cover -- Topology Design Methods for Structural Optimization -- Copyright Page -- Dedication -- Contents -- Preface -- 1 Introduction -- 1.1 Structural Optimization (SO) -- 1.2 Topology Optimization -- 1.2.1 Homogenization Method for Topology Optimization -- 1.2.2 Solid Isotropic Material with Penalization (SIMP) -- 1.2.3 Fully Stressed Design (FSD) -- 1.2.4 Computer-Aided Shape Optimization (CAO) -- 1.2.5 Soft Kill Option (SKO) -- 1.2.6 Evolutionary Structural Optimization (ESO) -- 1.2.7 Bidirectional ESO (BESO) -- 1.3 Book Layout -- References -- 2 Growth Method for the Size, Topology, and Geometry Optimization of Truss Structures -- 2.1 Introduction -- 2.2 The Growth Method -- 2.3 Domain Specification -- 2.4 Topology and Size Optimization -- 2.5 Geometry Optimization -- 2.6 Optimality Verification -- 2.7 Topology Growth -- 2.8 Practical Criteria to Limit the Number of Added Bars to New Joints -- 2.8.1 Limiting the Number of Crossed Bars -- 2.8.2 Using Orthogonality and Maximum Degree of Indeterminacy -- References -- 3 Discrete Method of Structural Optimization -- 3.1 Introduction -- 3.2 The Sequential Element Rejection and Admission (SERA) Algorithm -- 3.3 Definition of the Objective Function -- 3.3.1 Stress-Based Objective Function -- 3.3.2 Compliant-Based Objective Function -- 3.3.3 Multiple-Criteria Objective Function -- 3.3.4 Mutual Potential Energy Objective Function -- 3.4 The SERA Parameters -- 3.4.1 The Limit Volume Fraction -- 3.4.2 Controlling the Rate of Material Admission and Removal -- 3.4.3 The Smoothing Ratio -- 3.4.4 The Material Redistribution Fraction -- 3.4.5 The Filter Radius -- 3.4.6 Convergence Limit -- 3.5 The Initial Design Domain -- 3.6 The Volume Fraction to be Redistributed -- 3.6.1 Determine the Volume Fraction to be Rearranged -- 3.6.2 Material Redistribution -- 3.7 The Finite Element Analysis Find innovative structural solutions to your design challenges with this practical guide to the latest design tools and methods from a leading research team, Provides design tools and methods for innovative structural design, focusing on just the essential theory. Includes case studies and real-life examples to illustrate practical application, challenges, and solutions. Accompanying software provided on a companion website to allow you to get up and running fast with the methods introduced. Topology Design Methods for Structural Optimization provides engineers with a basic set of design tools for the development of 2D and 3D structures subjected to single and multiple load cases, experiencing linear elastic conditions. Written by an expert learn who have collaborated over the past decade to develop the methods presented, the book presents the essential theory behind the methods alongside clear guidelines on how to use them. Case studies and worked industry examples are included throughout to illustrate practical application of topology design tools to achieve innovative structural solutions. Intended for professionals who want to use the tools provided without needing in-depth theoretical knowledge as well as researchers who want to expand the methods presented to new applications, Topology Design Methods for Structural Optimization is an applied guide to solving structural design challenges. Three useful computer programs, including a graphical interface for running the software associated with the methods presented, are provided on a companion website to support the book. Book jacket

Topology Design Methods for Structural Optimization provides engineers with a basic set of design tools for the development of 2D and 3D structures subjected to single and multi-load cases and experiencing linear elastic conditions. Written by an expert team who has collaborated over the past decade to develop the methods presented, the book discusses essential theories with clear guidelines on how to use them.

Case studies and worked industry examples are included throughout to illustrate practical applications of topology design tools to achieve innovative structural solutions. The text is intended for professionals who are interested in using the tools provided, but does not require in-depth theoretical knowledge. It is ideal for researchers who want to expand the methods presented to new applications, and includes a companion website with related tools to assist in further study.

• Provides design tools and methods for innovative structural design, focusing on the essential theory
• Includes case studies and real-life examples to illustrate practical application, challenges, and solutions
• Features accompanying software on a companion website to allow users to get up and running fast with the methods introduced
• Includes input from an expert team who has collaborated over the past decade to develop the methods presented

Annotation 'Topology Design Methods for Structural Optimization' provides engineers with a basic set of design tools for the development of 2D and 3D structures subjected to single and multi-load cases and experiencing linear elastic conditions. Written by an expert team who has collaborated over the past decade to develop the methods presented, the book discusses essential theories with clear guidelines on how to use them