Computational Methods in Structural Dynamics
( 30 Modules )

Module #1
Introduction to Structural Dynamics
Overview of structural dynamics, importance of computational methods, and course objectives

Module #2
Mathematical Preliminaries
Review of linear algebra, differential equations, and numerical methods

Module #3
Structural Dynamics Fundamentals
Free vibration, forced vibration, and response analysis

Module #4
Equation of Motion
Derivation of equation of motion for single-degree-of-freedom systems

Module #5
Numerical Methods for ODEs
Introduction to numerical methods for solving ordinary differential equations

Module #6
Finite Element Method Fundamentals
Introduction to finite element method, interpolation functions, and shape functions

Module #7
Finite Element Formulation for Structural Dynamics
Formulation of finite element equations for structural dynamics

Module #8
Assembly of Finite Element Equations
Assembly of global stiffness matrix and mass matrix

Module #9
Solution of Finite Element Equations
Solution methods for finite element equations, including direct and iterative methods

Module #10
Modal Analysis
Modal analysis, mode shapes, and natural frequencies

Module #11
Frequency Domain Analysis
Frequency domain analysis, transfer functions, and frequency response

Module #12
Time Domain Analysis
Time domain analysis, numerical integration, and time-stepping methods

Module #13
Nonlinear Structural Dynamics
Introduction to nonlinear structural dynamics, nonlinear finite elements, and solution methods

Module #14
Radiation Damping
Radiation damping, energy dissipation, and damping models

Module #15
Structural Health Monitoring
Introduction to structural health monitoring, damage detection, and condition assessment

Module #16
Dynamic Response of Structures
Dynamic response of structures under different types of loading

Module #17
Advanced Topics in Computational Structural Dynamics
Advanced topics, including multi-body dynamics, parallel computing, and high-performance computing

Module #18
Case Studies and Applications
Practical applications of computational methods in structural dynamics, including case studies and examples

Module #19
Verification and Validation
Verification and validation of computational models, including error estimation and uncertainty quantification

Module #20
Model Updating and Model Reduction
Model updating and model reduction techniques for structural dynamics problems

Module #21
Computational Methods for Nonlinear Systems
Computational methods for nonlinear systems, including bifurcation analysis and chaos theory

Module #22
Parallel Computing and High-Performance Computing
Parallel computing and high-performance computing for structural dynamics problems

Module #23
Uncertainty Quantification and Sensitivity Analysis
Uncertainty quantification and sensitivity analysis for structural dynamics problems

Module #24
Machine Learning and Artificial Intelligence
Machine learning and artificial intelligence for structural dynamics problems, including data-driven approaches

Module #25
Multi-Disciplinary Optimization
Multi-disciplinary optimization for structural dynamics problems, including topology optimization and shape optimization

Module #26
Advanced Finite Element Methods
Advanced finite element methods, including isogeometric analysis and XFEM

Module #27
Computational Methods for Dynamics of Materials
Computational methods for dynamics of materials, including multiscale modeling and atomistic simulations

Module #28
Coupled Problems in Structural Dynamics
Coupled problems in structural dynamics, including fluid-structure interaction and soil-structure interaction

Module #29
Computational Methods for Stochastic Dynamics
Computational methods for stochastic dynamics, including Monte Carlo simulations and polynomial chaos expansions

Module #30
Course Wrap-Up & Conclusion
Planning next steps in Computational Methods in Structural Dynamics career

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Computational Methods in Structural Dynamics ( 30 Modules )

Computational Methods in Structural Dynamics
( 30 Modules )