Course - Marine Dynamics - TMR4182
TMR4182 - Marine Dynamics
About
Examination arrangement
Examination arrangement: Written examination
Grade: Letters
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Skriftlig | 100/100 | 4 timer |
Course content
Irregular waves and wave spectra, short-time and long-time statistics of waves. Rigid body motion of a floating body in waves is extended to several degrees of freedom and coupled motions. Special attention is payed to the roll motion with its important viscous effects and nonlinear behavior. Modeling of mooring lines and how it is taken care of in the equation of motion is introduced to the students. The origin of unsteady forces from the fluid on circular cylinders and the resulting vortex induced vibrations are described.
Transfer functions and response statistics. One degree of freedom systems and modelling of continuous systems using generalised co-ordinates. Eigenfrequency-calculation of beams using the differential equation energy method. Calculation of forced response in time and frequency domain, modal superposition. Modelling of selected marine structures. Stochastic analysis, fatigue and extreme response. Roll motions and coupled motions of floaters.
Learning outcome
At the end of the course, the students should be able to: - explain physically and mathematically how irregular waves are described by using the wave spectrum for both long-crested and short-crested waves. - explain the main properties of standard wave spectra (Pierson-Moskowitz type spectra, JONSWAP spectrum) including standard directional spectra; also to define and explain the meaning of the spectral moments and wave parameters such as significant wave height, spectral peak period, mean zero-crossing period etc. - explain the physical meaning of a stationary narrow- band Gaussian wave process and to apply the Rayleigh distribution to calculate short term statistics of waves including the statistics of the largest wave heights (i.e. extreme value statistics). - explain the meaning of long term statistics based on using the Rayleigh distribution together with joint frequency tables/scatter diagrams; also how scatter diagrams are used to determine e.g Hm0, Tp corresponding to a return period of 100 years. - to understand, explain and calculate coupled motions of a floating body in waves, influence of damping on roll motion, resonance behaviour due to anchor lines, and vortex induced vibrations of marine pipelines close to the seabed. - understand dynamic response of structure and how stiffness, damping and inertia forces will influence response for varying load frequency. - establish the differential equations for ropes, beams and plates and solve these for free vibration. - find the dynamic response for single degrees of freedom systems in time and frequency domain, and transfer simple continuous systems to single degree of freedom systems by use of generalized coordinates and mode superposition. - find transfer functions for simple systems and use these to describe stochastic response for fatigue analysis and extreme response estimation based on short term and long term statistics.
Learning methods and activities
Lectures and exercises. A given number of exercises must be accepted to be allowed to meet for the final written exam. The exam will have three problems dealing with wave statistics, hydrodynamics and structural dynamics respectively. Students must pass each of these problems in order to pass the exam. Lectures are in English. If there is a re-sit examination, the examination form may change from written to oral.
Compulsory assignments
- Exercises
Recommended previous knowledge
TMR4247 Marine Technology - Hydrodynamics.
Required previous knowledge
Basic courses on fluid dynamics, structural mechanics, mathematics (second order differential equations), amd mathematical statistics.
Course materials
Dag Myrhaug: Marine Dynamics (Irregular waves and wave statistics)
Bjørnar Pettersen: Marine hydrodynamics (Viscous flow, motions in waves).
Trygve Kristiansen: Marine dynamics (structural response, statistics of response).
No
Version: 1
Credits:
7.5 SP
Study level: Third-year courses, level III
Term no.: 1
Teaching semester: SPRING 2017
Language of instruction: English
-
- Technological subjects
Department with academic responsibility
Department of Marine Technology
Examination
Examination arrangement: Written examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD Skriftlig 100/100 2017-06-07 09:00
-
Room Building Number of candidates
Examination arrangement: Oral examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Summer KONT Oral examination 100/100 2017-08-15
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"