| Lec # | Topics | Readings |
|---|---|---|
| 1 | Introduction to Course Review of Dynamical Systems | Lecture Slides (PDF - 2.6 MB) |
| I. Tools for Seakeeping Analysis | ||
| 2 | Dynamical Systems and Ship Motions Review of Complex Numbers | Introduction to Linear Time Invariant Systems (PDF) |
| 3 | Tools for Analyzing Ship Motions: Introduction to Linear Systems, Fourier Transforms | Fourier Transforms (PDF) |
| 4 | Tools for Analyzing Ship Motions: Fourier Transforms and Transfer Functions | |
| 5 | System Characterization: Transfer Functions and Impulse Response | Probability Review (PDF) |
| 6 | Characterization of Random Environments: Waves and Wave Spectra | Lecture Slides (PDF - 2.4 MB) |
| 7 | Random Variables | Random Variables (PDF) |
| 8 | Random Processes | Random Processes (PDF) |
| 9 | Statistics of Random Sea Waves | Spectra of Random Processes (PDF) Gaussian and Poisson Distributions (PDF) |
| 10 | Long Term Wave Statistics | Wave Spectra and Short/Long Term Statistics (PDF) |
| 11 | Exam 1: In-class | |
| II. Wave and Current Forces on Bodies | ||
| 12 | Designing for Extreme Events: 100 Year Waves | |
| 13 | Fluid Forces on Bodies: Viscous and Inertial Forces | |
| 14 | Wave Forces on Floating Bodies | Hydrodynamic Wave Forces on Floating Bodies (PDF) |
| 15 | Equations of Motion of Floating Vessels under Wave Forcing | Froude Krylov Forces (PDF) Coupled Heave-Pitch (PDF) |
| 16 | Froude Krylov Forces Heave and Surge Motions | |
| III. Seakeeping Analysis | ||
| 17 | Forward Speed Effects and Model Testing | |
| 18 | Seakeeping Analysis Natural Frequency/Natural Periods | Seakeeping Roll and Pitch (PDF)# Morrison's Equation (PDF) |
| 19 | Ship Motion in Roll, Roll Damping | Roll Damping (PDF)# |
| 20 | Vortex Induced Vibrations I: Viscous Forces | Lecture Slides (PDF) |
| 21 | Vortex Induced Vibrations II: Considerations for Offshore Platform Design | |
| 22 | Second Order Forces Wave Drift | |
| 23 | Exam 2: In-class | |
| 24 | Free Surface Impact Problem Applied to Ship Slamming | |
| 25 | Class Presentations | |
| 26 | Class Presentations (cont.) | |