Overview of All Weeks
Week 1: Introduction Unit CIEM42X0-CM
- Lecture
- Introduction to Computational Dynamics of Offshore Structure
Wednesday, 08:45-12:45, Flux Hall D - Homework
- Study content of week 1
- Workshop
- ODE Solver
Wednesday, 08:45-12:45, Flux Hall D
At the end of this week you will be able to:
Define and analyse numerical methods to solve Ordinary Differential Equations (ODEs). This entails:
1. Define a simple solver to approximate solutions of ODEs based on Taylor Series
2. Quantify the numerical error of an approximated solution
3. Define adaptive time stepping approaches to control the numerical error
4. Distinguish between different ODE solvers
Week 1. Computational methods for ODEs [pdf]:
Introduction to numerical methods for ODEs
Taylor series
ODE solvers
Error and stability
Error control
Week 2: Computational methods for rigid body dynamics
- Lecture
- Types of structural elements, Lagrangian mechanics and Linearization
Wednesday, 08:45-12:45, Flux Hall D - Homework
- Study content of week 2
- Workshop
- Workshop 2, Workshop 3, Workshop 4 and Workshop 5
Wednesday, 08:45-12:45, Flux Hall D
Thursday, 13:45-15:45, Flux Hall D
At the end of this week you will be able to:
Defining and solving an Equation of Motion using the Lagrangian approach. This entails:
1. Recognize structural elements and understand their contribution in the Equation of Motion
2. Deriving the Equation of Motion using Lagrangian approach
3. Solve Equation of Motion using numerical methods
Week 2. Computational methods for rigid body dynamics [pdf]:
Week 3: Computational methods for time-dependent Partial Differential Equations
- Lecture
- Introduction to Finite Differences for time-dependent PDEs & Introduction to Finite Elements for time-dependent PDEs
Wednesday, 08:45-12:45, Flux Hall D - Homework
- Study content of week 3
- Workshop
- Workshop 6, Workshop 7, Workshop 8
Wednesday, 08:45-12:45, Flux Hall D
Thursday, 13:45-15:45, Flux Hall D
At the end of this week you will be able to:
Define and analyze numerical methods to solve systems governed by Partial Differential Equations. This entails:
1. Define the system of PDEs that characterize the behaviour of structures composed by rods and beams
2. Define numerical methods to solve a system of PDEs
3. Implement a solver for a system of PDEs
4. Analyse and justify the results
Week 3. Computational methods for time-dependent Partial Differential Equations [pdf]:
1. Introduction to Finite Differences for time-dependent PDEs
2. Introduction to Finite Elements for time-dependent PDEs (6.4 and 6.5)
3. Theory: Beam equation 4.1
4. Theory: Space frames 4.3
Week 4: Numerical methods for time-dependent Partial Differential Equations in 2D
- Lecture
- Numerical methods for time-dependent PDEs in 2D
Wednesday, 08:45-12:45, Flux Hall D - Homework
- Study content of week 4
- Workshop
- Workshop: FEM for Linear Elasticity
Wednesday, 08:45-12:45, Flux Hall D
Thursday, 13:45-15:45, Flux Hall D
At the end of this week you will be able to:
Define and analyse numerical methods to solve systems governed by Partial Differential Equations in 2-dimensional domains. This entails:
1. Define the system of PDEs that characterize the behaviour of linear elastic structures in 2D
2. Define numerical methods to solve a system of PDEs
3. Implement a solver for a system of PDEs
4. Analyse and justify the results
Week 4. Computational methods for time-dependent Partial Differential Equations in 2D [pdf]:
1. Isoparametric mapping 2.8
2. Numerical integration 2.6
Week 5: Modal analysis for time-dependent Partial Differential Equations
- Lecture
- Modal analysis for time-dependent Partial Differential Equations
Wednesday, 08:45-12:45, CEG 1.98 - Homework
- Study content of week 5
- Workshop
- Workshop: Modal Analysis for FEM
Wednesday, 08:45-12:45, CEG 1.98
Thursday, 13:45-15:45, Flux Hall D
At the end of this week you will be able to:
Define numerical methods to perform a modal analysis of systems governed by Partial Differential Equations. This entails:
1. Characterize the modal properties of a system of PDEs
2. Define numerical methods that return characteristics eigenfrequencies and eigenmodes of a system of PDEs
3. Analyze and justify the results
Week 5. Modal analysis for time-dependent Partial Differential Equations [pdf]:
1. Modal analysis 6.6
Week 6: Geometrically Nonlinear Structures
- Lecture
- Geometrically Nonlinear Structures
Wednesday, 08:45-12:45, Flux Hall D - Homework
- Study content of week 6
- Workshop
- Workshop: Workshop 1 (Static String), Workshop 2 (Expanded Static String), Workshop 6 (Dynamic String)
Wednesday, 08:45-12:45, Flux Hall D
Thursday, 13:45-15:45, Flux Hall D
At the end of this week you will be able to:
Define numerical methods to analyse systems governed by nonlinear Partial Differential Equations. This entails:
1. Define the formulation that characterizes the dynamics of structures subject to large deformations
2. Define numerical methods to solve nonlinear systems of PDEs
3. Analyse and justify the results
Week 6. Geometrically nonlinear structures [pdf 1],[pdf 2] :
1. Geometric nonlinearity 5.4
Workshop 1 (Static String)
Workshop 2 (Expanded Static String)
Workshop 6 (Dynamic String)