Truss Optimization: A Metaheuristic Optimization Approach

✍ Scribed by Vimal Savsani, Ghanshyam Tejani, Vivek Patel

• Publisher: Springer
• Year: 2024
• Tongue: English
• Leaves: 446
• Category: Library

✦ Synopsis

This book provides a comprehensive study of structural design and optimization of different truss structures for size, shape, and topology of structure. It describes truss optimization based on into three categories: size optimization, shape optimization, and topology optimization.

It also studies the performance of metaheuristic algorithms developed after 2011 for truss optimization problems. The results highlight the best approach to achieve the best performance of the structural design. Pseudo codes of all the methods are provided at the end of the book so that it can be used by the researchers, practitioners, and students to test it for different real-world systems.

This book ideal for structural design engineers to realize the appropriate systems with properly optimized parameters as well as designers, practitioners, consultants involved in structural designs, researchers, academics, and graduate students in mechanical, civil, and architectural engineering.

✦ Table of Contents

Preface
Contents
List of Figures
List of Tables
Chapter 1: Introduction
References
Chapter 2: Methodology
2.1 Introduction
2.2 Finite Element Method
2.2.1 FEM Analysis of 2D Trusses
2.3 Problem Formulation
2.4 Proposed Methodology
2.5 Design Problems
2.5.1 Problem Complexity of the TSS Optimization Problems
2.5.2 Analysis of Feasible Search Space in TSS Optimization
References
Chapter 3: Metaheuristics Methods
3.1 Introduction
3.2 Metaheuristics
3.2.1 The DA Algorithm
3.2.2 The MVO Algorithm
3.2.3 The SCA Algorithm
3.2.4 The WOA Algorithm
3.2.5 The ALO Algorithm
3.2.6 The HTS Algorithm
3.2.7 The PVS Algorithm
3.2.8 The SOS Algorithm
3.2.9 The GWO Algorithm
3.2.10 The TLBO Algorithm
References
Chapter 4: Size Optimization
4.1 Introduction
4.2 Problem Formulation
4.3 Results and Discussion on Size Optimization with Continuous Cross Sections
4.3.1 Size Optimization of the 10-Bar Truss with Continuous Cross Sections
4.3.2 Size Optimization of the 14-Bar Truss with Continuous Cross Sections
4.3.3 Size Optimization of the 15-Bar Truss with Continuous Cross Sections
4.3.4 Size Optimization of the 24-Bar Truss with Continuous Cross Sections
4.3.5 Size Optimization of the 20-Bar Truss with Continuous Cross Sections
4.3.6 Size Optimization of the 72-Bar 3D Truss with Continuous Cross Sections
4.3.7 Size Optimization of the 39-Bar Truss with Continuous Cross Sections
4.3.8 Size Optimization of the 45-Bar Truss with Continuous Cross Sections
4.3.9 Size Optimization of the 25-Bar 3D Truss with Continuous Cross Sections
4.3.10 Size Optimization of the 39-Bar 3D Truss with Continuous Cross Sections
4.3.11 A Comprehensive Analysis
4.3.12 The Friedman Rank Test
4.4 Results and Discussion on Size Optimization with Discrete Cross Sections
4.4.1 Size Optimization of the 10-Bar Truss with Discrete Cross Sections
4.4.2 Size Optimization of the 14-Bar Truss with Discrete Cross Sections
4.4.3 Size Optimization of the 15-Bar Truss with Discrete Cross Sections
4.4.4 Size Optimization of the 24-Bar Truss with Discrete Cross Sections
4.4.5 Size Optimization of the 20-Bar Truss with Discrete Cross Sections
4.4.6 Size Optimization of the 72-Bar 3D Truss with Discrete Cross Sections
4.4.7 Size Optimization of the 39-Bar Truss with Discrete Cross Sections
4.4.8 Size Optimization of the 45-Bar Truss with Discrete Cross Sections
4.4.9 Size Optimization of the 25-Bar 3D Truss with Discrete Cross Sections
4.4.10 Size Optimization of the 39-Bar 3D Truss with Discrete Cross Sections
4.4.11 A Comprehensive Analysis
4.4.12 The Friedman Rank Test
4.5 Multi-objective Optimization for Structure Design
4.5.1 Mathematical Formulation of Multi-objective Structure Optimization Problem
4.6 The CEC2014 Benchmark Functions
References
Chapter 5: Topology and Size Optimization
5.1 Introduction
5.2 Truss Topology Optimization
5.3 Problem Formulation
5.4 Results and Discussion on Truss Topology Optimization with Continuous Cross-Sections
5.4.1 Topology Optimization of the 10-Bar Truss with Continuous Cross-Sections
5.4.2 Topology Optimization of the 14-Bar Truss with Continuous Cross-Sections
5.4.3 Topology Optimization of the 15-Bar Truss with Continuous Cross-Sections
5.4.4 Topology Optimization of the 24-Bar Truss with Continuous Cross-Sections
5.4.5 Topology Optimization of the 20-Bar Truss with Continuous Cross-Sections
5.4.6 Topology Optimization of the 72-Bar 3D Truss with Continuous Cross-Sections
5.4.7 Topology Optimization of the 39-Bar Truss with Continuous Cross-Sections
5.4.8 Topology Optimization of the 45-Bar Truss with Continuous Cross-Sections
5.4.9 Topology Optimization of the 25-Bar 3D Truss with Continuous Cross-Sections
5.4.10 Topology Optimization of the 39-Bar 3D Truss with Continuous Cross-Sections
5.4.11 A Comprehensive Analysis
5.5 Results and Discussion on Truss Topology Optimization with Discrete Cross-Sections
5.5.1 Topology Optimization of the 10-Bar Truss with Discrete Cross-Sections
5.5.2 Topology Optimization of the 14-Bar Truss with Discrete Cross-Sections
5.5.3 Topology Optimization of the 15-Bar Truss with Discrete Cross-Sections
5.5.4 Topology Optimization of the 24-Bar Truss with Discrete Cross-Sections
5.5.5 Topology Optimization of the 20-Bar Truss with Discrete Cross-Sections
5.5.6 Topology Optimization of the 72-Bar 3D Truss with Discrete Cross-Sections
5.5.7 Topology Optimization of the 39-Bar Truss with Discrete Cross-Sections
5.5.8 Topology Optimization of the 45-Bar Truss with Discrete Cross-Sections
5.5.9 Topology Optimization of the 25-Bar 3D Truss with Discrete Cross-Sections
5.5.10 Topology Optimization of the 39-Bar 3D Truss with Discrete Cross-Sections
5.5.11 A Comprehensive Analysis
References
Chapter 6: Topology, Shape, and Size Optimization
6.1 Introduction
6.2 Problem Formulation
6.3 Results and Discussion on TSS Optimization with Continuous Sections
6.3.1 TSS Optimization of the 10-Bar Truss with Continuous Cross-Sections
6.3.2 TSS Optimization of the 14-Bar Truss with Continuous Cross-Sections
6.3.3 TSS Optimization of the 15-Bar Truss with Continuous Cross-Sections
6.3.4 TSS Optimization of the 24-Bar Truss with Continuous Cross-Sections
6.3.5 TSS Optimization of the 20-Bar Truss with Continuous Cross-Sections
6.3.6 TSS Optimization of the 72-Bar 3D Truss with Continuous Cross-Sections
6.3.7 TSS Optimization of the 39-Bar Truss with Continuous Cross-Sections
6.3.8 TSS Optimization of the 45-Bar Truss with Continuous Cross-Sections
6.3.9 TSS Optimization of the 25-Bar 3D Truss with Continuous Cross-Sections
6.3.10 TSS Optimization of the 39-Bar 3D Truss with Continuous Cross-Sections
6.3.11 A Comprehensive Analysis
6.3.12 The Friedman Rank Test
6.4 Results and Discussion on TSS Optimization with Discrete Sections
6.4.1 TSS Optimization of the 10-Bar Truss with Discrete Cross-Sections
6.4.2 TSS Optimization of the 14-Bar Truss with Discrete Cross-Sections
6.4.3 TSS Optimization of the 15-Bar Truss with Discrete Cross-Sections
6.4.4 TSS Optimization of the 24-Bar Truss with Discrete Cross-Sections
6.4.5 TSS Optimization of the 20-Bar Truss with Discrete Cross-Sections
6.4.6 TSS Optimization of the 72-Bar 3D Truss with Discrete Cross-Sections
6.4.7 TSS Optimization of the 39-Bar Truss with Discrete Cross-Sections
6.4.8 TSS Optimization of the 45-Bar Truss with Discrete Cross-Sections
6.4.9 TSS Optimization of the 25-Bar 3D Truss with Discrete Cross-Sections
6.4.10 TSS Optimization of the 39-Bar 3D Truss with Discrete Cross-Sections
6.4.11 A Comprehensive Analysis of the Best Results Obtained for TSS with Discrete Sections
6.4.12 The Friedman Rank Test
References
Chapter 7: Validation
7.1 The Finite Element Analysis Process Using ANSYS
7.2 Validation of the 10-Bar Truss
7.3 Validation of the 14-Bar Truss
7.4 Validation of the 15-Bar Truss
7.5 Validation of the 24-Bar Truss
7.6 Validation of the 20-Bar Truss
7.7 Validation of the 72-Bar 3D Truss
7.8 Validation of the 39-Bar Truss
7.9 Validation of the 45-Bar Truss
7.10 Validation of the 25-Bar 3D Truss
7.11 Validation of the 39-Bar 3D Truss
Reference
Chapter 8: MATLAB Codes of Metaheuristics Methods
8.1 The Dragonfly Algorithm
8.2 The Multiverse Optimizer
8.3 The Sine Cosine Algorithm
8.4 The Whale Optimization Algorithm
8.5 The Ant Lion Optimizer
8.6 The Heat Transfer Search
8.7 The Passing Vehicle Search
8.8 The Symbiotic Organisms Search
8.9 The Grey Wolf Optimizer
8.10 The Teaching-Learning-Based Optimization
Index