Module #1 Introduction to Optimization in Structural Engineering Overview of optimization methods, importance in structural engineering, and course objectives
Module #2 Mathematical Background Review of linear algebra, calculus, and numerical analysis for optimization
Module #3 Optimization Fundamentals Definition of optimization, types of optimization problems, and optimization algorithms
Module #4 Linear Programming Introduction to linear programming, simplex method, and duality theory
Module #5 Non-Linear Programming Introduction to non-linear programming, unconstrained and constrained optimization
Module #6 Gradient-Based Optimization Introduction to gradient-based optimization methods, gradient descent and Newtons method
Module #7 Heuristics and Metaheuristics Introduction to heuristics and metaheuristics, simulated annealing and genetic algorithms
Module #8 Structural Optimization Problem Formulation Formulation of structural optimization problems, including objective functions and constraints
Module #9 Topology Optimization Introduction to topology optimization, including material distribution and shape optimization
Module #10 Sizing Optimization Introduction to sizing optimization, including cross-sectional optimization and shape optimization
Module #11 Shape Optimization Introduction to shape optimization, including boundary representation and shape parameters
Module #12 Multi-Disciplinary Optimization Introduction to multi-disciplinary optimization, including structural, thermal, and dynamic analysis
Module #13 Case Study:Truss Optimization Optimization of truss structures using various optimization algorithms
Module #14 Case Study:Frame Optimization Optimization of frame structures using various optimization algorithms
Module #15 Case Study:Plate and Shell Optimization Optimization of plate and shell structures using various optimization algorithms
Module #16 Computational Tools for Structural Optimization Overview of computational tools for structural optimization, including commercial software and open-source libraries
Module #17 Sensitivity Analysis and Uncertainty Quantification Introduction to sensitivity analysis and uncertainty quantification in structural optimization
Module #18 Advanced Topics in Structural Optimization Introduction to advanced topics in structural optimization, including multi-objective optimization and robust optimization
Module #19 Optimization under Uncertainty Introduction to optimization under uncertainty, including probabilistic and fuzzy optimization
Module #20 Dynamic and Time-Dependent Optimization Introduction to dynamic and time-dependent optimization, including optimal control and dynamic programming
Module #21 Multi-Objective Optimization Introduction to multi-objective optimization, including Pareto optimality and multi-objective optimization algorithms
Module #22 Robust Optimization Introduction to robust optimization, including worst-case and stochastic robust optimization
Module #23 Optimization of Complex Systems Introduction to optimization of complex systems, including system identification and modeling
Module #24 Optimization for Sustainable Structural Design Introduction to optimization for sustainable structural design, including life cycle assessment and environmental impact
Module #25 Optimization for Resilience and Reliability Introduction to optimization for resilience and reliability, including structural reliability analysis and risk-based optimization
Module #26 Case Study:Real-World Applications Real-world applications of optimization methods in structural engineering
Module #27 Software Development for Structural Optimization Introduction to software development for structural optimization, including programming languages and development environments
Module #28 Parallel and Distributed Optimization Introduction to parallel and distributed optimization, including parallel computing and distributed optimization algorithms
Module #29 Machine Learning and Optimization Introduction to machine learning and optimization, including surrogate-based optimization and machine learning-based optimization
Module #30 Course Wrap-Up & Conclusion Planning next steps in Optimization Methods for Structural Engineering career
