Optimization of Structures and Components

• Main Author: Muñoz-Rojas, Pablo Andrés
• Format: eBook
• Language: English
• Published: Cham Springer International Publishing AG 2013; Springer International Publishing; Springer
• Edition: 1
• Series: Advanced Structured Materials
• Subjects: Characterization and Evaluation of Materials; Chemistry and Materials Science; Engineering; Optimization; Structural design; Theoretical and Applied Mechanics

This volume presents innovative formulations and applied procedures for sensitivity analysis and structural design optimization. Coverage ranges from recent developments to the use of evolutionary algorithms and meta-models to solve engineering problems.

Table of Contents:

• 4.3 Example 3: Material Cost Minimization of a Hybrid Composite Under Failure and Weight Constraints -- 5 Conclusions -- References -- 5 Delamination Diagnosis in Composite Beam Using AIS and BGA Algorithms Based on Vibration Characteristics -- 1 Introduction -- 2 Natural and Artificial Immune Systems -- 2.1 Clonal Selection -- 2.2 Negative Selection -- 3 AIS-Based Structure Damage Detection -- 3.1 Immune Terminologies and Representations -- 3.2 The Algorithm -- 4 The Genetic Algorithm Method -- 5 Delaminated Composite Beam Modeling -- 6 Numerical Results -- 7 Experimental Setup and Test -- 8 Conclusion -- References -- 6 On Active Vibrations Control of a Flexible Rotor Running in Flexibly-Mounted Journal Bearings -- 1 Introduction -- 2 Rotor-Bearing System Model -- 2.1 Unbalance Response -- 3 Conventional Optimal Control -- 4 Isotropic Optimal Control -- 5 Simulation Results and Discussion -- 6 Concluding Remarks -- References -- 7 Multi-Disciplinary Constraint Design Optimization Based on Progressive Meta-Model Method for Vehicle Body Structure -- 1 Introduction -- 2 FE Model Construction -- 2.1 Static Stiffness (Bending/Torsional) -- 2.2 Dynamic Stiffness (1st Torsion Mode) -- 3 Effect Analysis with Design of Experiments -- 3.1 Selection of Design Variables for Effect Analysis -- 3.2 Generation of Sampling Points -- 3.3 Review of Results and Screening Process -- 4 Meta Model Construction and Sequential Approximate Optimization -- 4.1 Meta Model Construction -- 4.2 Sequential Approximate Optimization -- 4.3 Formulation of the Optimization Problem -- 4.4 Results -- 5 Conclusion -- References -- 8 Optimization Under Uncertainties -- 1 Introduction -- 2 Optimization -- 3 Uncertainities -- 3.1 Types of Uncertainty -- 3.2 Uncertainty Representation -- 3.3 Probabilistic Methods for Uncertainty Quantification
• 3.4 Possibilistic Methods for Uncertainty Quantification -- 4 Stochastic Programming or Robust Design -- 4.1 The Taguchi Method -- 5 Reliability Based Design Optimization -- 5.1 Coupled FORM-Based Approaches -- 5.2 Classical Coupled Approaches -- 5.3 Decoupling Strategies -- 6 Risk Optimization -- 7 Concluding Remarks -- References
• Intro -- Preface -- Contents -- 1 Topological Derivative for Multi-Scale Linear Elasticity Models in Three Spatial Dimensions -- 1 Introduction -- 2 The Homogenized Elasticity Tensor -- 3 Sensitivity of the Macroscopic Elasticity Tensor to Topological Microstructural Changes -- 4 Conclusions -- References -- 2 Topological Sensitivity Analysis for Two-Dimensional Heat Transfer Problems Using the Boundary Element Method -- 1 Introduction -- 2 Numerical Methodology -- 2.1 The Boundary Element Method -- 2.2 Topological Derivative -- 2.3 Bézier Curves -- 3 Numerical Results -- 3.1 Heat Conductor with Neumann Boundary Conditions on the Cavities -- 3.2 Heat Conductor with Robin Boundary Conditions on the Cavities -- 3.3 Inverted V Heat Conductor -- 3.4 Cross Heat Conductor -- 3.5 Printed Circuit Board -- 4 Additional Comments -- 5 Conclusions -- References -- 3 Design of Compliant Mechanisms with Stress Constraints Using Topology Optimization -- 1 Introduction -- 2 Design of Fully Compliant Mechanisms Using Topology Optimization -- 3 Results -- 3.1 Influence of q -- 3.2 Influence of the Finite Element Mesh -- 4 Concluding Remarks -- References -- 4 A Genetic Algorithm for Optimization of Hybrid Laminated Composite Plates -- 1 Introduction -- 2 Genetic Algorithm -- 2.1 Constraint Handling -- 2.2 Chromosome Representation -- 2.3 Crossover -- 2.4 Mutation -- 2.5 Gene-Swap -- 2.6 Stack Addition-Deletion -- 2.7 Local Search -- 3 Failure Criteria -- 3.1 Maximum Stress Failure Criterion -- 3.2 Tsai-Wu Failure Criterion -- 3.3 Puck Failure Criterion -- 4 Numerical Results -- 4.1 Example 1: Weight Minimization Under Strain, Buckling and Ply Contiguity Orientation Constraints -- 4.2 Example 2: Material Cost Minimization of a Hybrid Composite Under Buckling and Weight Constraints