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Topology Design Methods for Structural Optimization [Pehme köide]

(Associate Professor, School of Mechanical Engineering, The University of Leeds, UK), , (Consultant, McKinsey & ), (Associate Professor, Continuum Mechanics and Theory of Structures, Universidad Politécnica de Cartagena, Cartagena, Spain),
  • Formaat: Paperback / softback, 204 pages, kõrgus x laius: 229x152 mm, kaal: 340 g, 200 illustrations; Illustrations, unspecified
  • Ilmumisaeg: 13-Jun-2017
  • Kirjastus: Academic Press Inc.(London) Ltd
  • ISBN-10: 008100916X
  • ISBN-13: 9780081009161
Teised raamatud teemal:
  • Formaat: Paperback / softback, 204 pages, kõrgus x laius: 229x152 mm, kaal: 340 g, 200 illustrations; Illustrations, unspecified
  • Ilmumisaeg: 13-Jun-2017
  • Kirjastus: Academic Press Inc.(London) Ltd
  • ISBN-10: 008100916X
  • ISBN-13: 9780081009161
Teised raamatud teemal:

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 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 do not need in-depth theoretical knowledge. It is ideal for researchers who want to expand the methods presented to new applications, and contains a companion website with related tools for 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
  • Accompanying software on a companion website allows users to get up and running fast with the methods introduced

Muu info

Provides engineers with design tools for developing 2D and 3D structures subjected to multiple load cases under linear elastic conditions
Preface xi
1 Introduction
1.1 Structural Optimization (SO)
1(1)
1.2 Topology Optimization
2(8)
1.2.1 Homogenization Method for Topology Optimization
4(1)
1.2.2 Solid Isotropic Material with Penalization (SIMP)
5(1)
1.2.3 Fully Stressed Design (FSD)
6(1)
1.2.4 Computer-Aided Shape Optimization (CAO)
7(1)
1.2.5 Soft Kill Option (SKO)
8(1)
1.2.6 Evolutionary Structural Optimization (ESO)
9(1)
1.2.7 Bidirectional ESO (BESO)
9(1)
1.3 Book Layout
10(5)
References
12(3)
2 Growth Method for the Size, Topology, and Geometry Optimization of Truss Structures
2.1 Introduction
15(1)
2.2 The Growth Method
16(2)
2.3 Domain Specification
18(1)
2.4 Topology and Size Optimization
18(1)
2.5 Geometry Optimization
19(2)
2.6 Optimality Verification
21(1)
2.7 Topology Growth
22(1)
2.8 Practical Criteria to Limit the Number of Added Bars to New Joints
23(4)
2.8.1 Limiting the Number of Crossed Bars
23(1)
2.8.2 Using Orthogonality and Maximum Degree of Indeterminacy
24(1)
References
25(2)
3 Discrete Method of Structural Optimization
3.1 Introduction
27(1)
3.2 The Sequential Element Rejection and Admission (SERA) Algorithm
28(3)
3.3 Definition of the Objective Function
31(3)
3.3.1 Stress-Based Objective Function
31(1)
3.3.2 Compliant-Based Objective Function
32(1)
3.3.3 Multiple-Criteria Objective Function
32(1)
3.3.4 Mutual Potential Energy Objective Function
33(1)
3.4 The SERA Parameters
34(2)
3.4.1 The Limit Volume Fraction
34(1)
3.4.2 Controlling the Rate of Material Admission and Removal
34(1)
3.4.3 The Smoothing Ratio
35(1)
3.4.4 The Material Redistribution Fraction
35(1)
3.4.5 The Filter Radius
35(1)
3.4.6 Convergence Limit
36(1)
3.5 The Initial Design Domain
36(1)
3.6 The Volume Fraction to be Redistributed
36(2)
3.6.1 Determine the Volume Fraction to be Rearranged
37(1)
3.6.2 Material Redistribution
38(1)
3.7 The Finite Element Analysis
38(1)
3.8 The Elemental Criterion Value
39(4)
3.8.1 Elemental Criterion for a Fully Stressed Design
39(1)
3.8.2 Elemental Criterion for Minimum Compliance
40(1)
3.8.3 Elemental Criterion for Multiple Criteria
41(1)
3.8.4 Elemental Criterion for Compliant Mechanisms
42(1)
3.9 Mesh Independent Filtering
43(1)
3.10 Convergence Criterion
44(3)
References
44(2)
Further Reading
46(1)
4 Continuous Method of Structural Optimization
4.1 Introduction
47(1)
4.2 The Isolines Topology Design Algorithm
48(1)
4.3 The Optimization Problem
49(3)
4.3.1 Criterion Selection
50(1)
4.3.2 Criterion for Problems with Different Tensile and Compressive Structural Behaviour
50(1)
4.3.3 Nondesign Domain Region
51(1)
4.4 The ITD Parameters
52(1)
4.4.1 Target Final Design Volume
52(1)
4.4.2 Total Number of Iterations
52(1)
4.4.3 Total Number of Load Cases
52(1)
4.4.4 Total Number of Material Phases
52(1)
4.4.5 The Weighting Factor for the Different Material Phases
53(1)
4.4.6 The Minimum Volume Change Limit
53(1)
4.5 Analysis of the Design Domain
53(7)
4.5.1 Fixed Grid Finite Element Method
54(1)
4.5.2 Calculating the Elemental Criterion Value
55(1)
4.5.3 Calculating the Nodal Criterion Value
56(1)
4.5.4 Initial Design Domain Analysis
56(3)
4.5.5 Reanalysis of the Design Domain Analysis
59(1)
4.6 Determining the Target Volume
60(1)
4.7 Determining the Minimum Criterion Level (MCL)
61(4)
4.7.1 MCL for Single Load Case Problems
61(1)
4.7.2 MCL for Multiple Load Case Problems
61(2)
4.7.3 MCL for Multiple Material Phases Problems
63(2)
4.8 Determination of the Structural Shape or Surface
65(3)
4.8.1 Determination of the Isolines for 2D Problems
66(1)
4.8.2 Determination of the Isosurfaces for 3D Problems
67(1)
4.9 Structural Boundary Stabilization
68(3)
References
68(3)
5 Hands-On Applications of Structural Optimization
5.1 Introduction
71(1)
5.2 Michell Cantilever
72(1)
5.3 Messerschmidt-Bolkow-Blohm Beam
73(3)
5.4 Michell Cantilever with Fixed Circular Boundary
76(2)
5.5 Michell Beam with Fixed Supports
78(2)
5.6 Michell Beam with Roller Support
80(3)
5.7 Square Under Torsion
83(1)
5.8 Michell Beam with Roller Support and Multiple Load Cases
84(1)
5.9 Prager Cantilever
85(2)
5.10 Inverter Mechanism
87(1)
5.11 Gripper Mechanism
88(1)
5.12 Crunching Mechanism
89(4)
References
91(2)
6 Topology Optimization as a Digital Design Tool
6.1 Introduction
93(2)
6.2 Effect of Different Load Angle on a Michell Cantilever
95(2)
6.3 Tap or Faucet Design
97(1)
6.4 Exercise Bar Support Arm
98(3)
6.5 Hemispherical Dome Structure
101(1)
6.6 Bridge Structure with Nondesign Domain
102(2)
6.7 Single Short Corbel
104(2)
6.8 Double-Sided Beam-to-Column Joint
106(1)
6.9 Metallic Insert
107(2)
6.10 Electric Mast
109(4)
References
110(3)
7 User Guides for Enclosed Software
7.1 Introduction
113(1)
7.2 Truss Topology Optimization (TTO) Program
113(11)
7.2.1 System Requirements and Installation of TTO
113(2)
7.2.2 Overview of the TTO Graphical User Interface
115(9)
7.3 Step-by-Step Guide to Use TTO
124(5)
7.3.1 Using TTO
124(2)
7.3.2 TTO Models in the Included Files
126(3)
7.4 SERA Topology Optimization Program
129(8)
7.4.1 SERA Matlab Code
130(7)
7.5 Modifying the SERA Code to Solve Different Examples
137(10)
7.5.1 The Messerschmidt-Bolkow-Blohm Beam (MBB)
137(1)
7.5.2 The Michell Cantilever
137(1)
7.5.3 Multiple Load Case Problem
138(3)
7.5.4 Structures with Passive Elements
141(3)
7.5.5 Compliant Mechanism Problems
144(3)
7.6 Isolines Topology Design Program (liteITD)
147(23)
7.6.1 System Requirements and Installation of liteITD Software
148(1)
7.6.2 Overview of the liteITD Interface
149(21)
7.7 Step-by-Step Guide to Use liteITD
170(9)
7.7.1 Define the Design Workbench Dimensions
172(1)
7.7.2 Draw the Geometric Model
172(2)
7.7.3 Specify the Material Properties
174(1)
7.7.4 Generate the Finite Element Mesh
175(1)
7.7.5 Apply the DOF Constraints
175(2)
7.7.6 Apply the Loading Conditions
177(1)
7.7.7 Specify the liteITD Parameters and Run Optimization
178(1)
7.7.8 View the Resulting Optimal Design
179(1)
7.8 Additional liteITD Examples
179(4)
7.8.1 Michell Cantilever under Multiple Loading Conditions
179(1)
7.8.2 Michell Cantilever with Different Properties in Tension and Compression
180(2)
7.8.3 Michell Cantilever Using Multimaterials
182(1)
7.9 Appropriate Equivalent Units
183(2)
References
184(1)
Index 185
Osvaldo M. Querin is Associate Professor in the School of Mechanical Engineering at the University of Leeds in the UK. He is Senior Member of the American Institute of Aeronautics and Astronautics (AIAA), Fellow of the Royal Aeronautical Society (FRAeS) and secretary of the Association for Structural and Multidisciplinary Optimization in UK (ASMO-UK). He has taught: aerospace flight mechanics, aerospace structures, aircraft design, design optimization, finite element analysis, rotary wing aircraft and structural analysis. His research interests lie in structural topology optimization, having been instrumental in the development of the Bi-directional ESO (BESO), Sequential Element Rejection and Addition (SERA) and Isolines/Isosurfaces Topology Design (ITD) methods of topology optimisation. He has published 8 edited books, 3 book chapters, 52 journal and 87 conference publications. Resent research projects are: A biomimetic, self-tuning, fully adaptable smart lower limb prosthetics with energy recover; Carbon fibre tape spring for self-deploying space structures; Development of an automated structural optimisation process for small aerospace parts; and Advanced Lattice Structures for Composite Airframes (ALaSCA). Mariano Victoria is Associate Professor of Continuum Mechanics and Theory of Structures in the Departamento de Estructuras y Construcción at the Universidad Politécnica de Cartagena in Spain. He has worked in the aeronautical industry and since 2001 he has taught: analysis of structures, elasticity and strength of materials, and structural optimization methods. His research has focused on the topology optimization of continuum structures. Cristina Alonso has a PhD in Mechanical Engineering from the University of the Basque Country in Spain, an MSc in Industrial Engineering from the University of Navarre in Spain and an MSc in Innovation, Entrepreneurship and Management from Imperial College London in the UK. Her research has focused on the development of topology optimization algorithms. She has worked at: Procter & Gamble (Germany), SENER (Spain), the University of Leeds (UK) and McKinsey & Company (Spain). Rubén Ansola works as Industrial Engineer in the Departamento de Ingeniería Mecánica at the Escuela Técnica Superior de Ingeniería de Bilbao in Spain. He has taught: design of aircraft structures, strength of materials and theory of elasticity. His research has focused on the shape and topology optimization of structures and compliant mechanisms design. Recent projects include: Integration of topology optimization and 3D additive manufacturing technologies; Optimization of fibre reinforced materials applied to railway industry and Thermo-mechanic topology optimization of aeronautical components. Pascual Martí is Professor of Continuum Mechanics and Theory of Structures in the Departamento de Estructuras y Construcción at the Universidad Politécnica de Cartagena in Spain. He has taught: computational mechanics, steel structures and theory of structures. His research has focused on robust optimal design; size, shape and topology optimization of structural and mechanical systems, and uncertainty models.