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Topology design methods for structural optimization /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Querin, Osvaldo M.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London, United Kingdom : Academic Press, 2017.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 Structures2.1 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 Function3.3.1 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 Redistribution3.7 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 Behaviour4.3.3 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.