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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS PHO 5043 VIBRATIONS AND WAVES IN MARINE SCIENCES ELECTIVE 3 0 0 8

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

Offered to

PHYSICAL OCEANOGRAPHY

Course Objective

The text material is intended as an introduction to the study of vibrations and waves in general, but the discussion is almost entirely confined to the mechanical systems. Thus, except in a few places, an adequate preparation for it is a good working knowledge of elementary kinematics and dynamics.

Learning Outcomes of the Course Unit

1   be familiar to the dynamics of motion 2   to understand of the wave dynamics in general 3   to build differential equations acording to applied forces 4   able to analyse the waves in time and space 5   to understand the phenomenon of resonance 6   able to have knowledge about coupled oscillotory systems

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Periodic Motions Description of simple harmonic motions Rotating vectors and complex numbers Introducing the complex exponential 2 Superposition of Periodic Motions Superposed vibrations in one dimension Two superposed vibrations of equal frequency Superposed vibrations of different frequencies Many superposed vibrations of the same frequency Applications in marine environment 3 Superposition of Periodic Motions Combination of two vibrations at right angles Perpendicular motions with equal frequencies Perpendicular motions with different frequencies Lissajousfigures Comparison of paralle and perpendicular superposition 4 The Free Vibrations of Physical Systems The basic mass-spring problem Solving the harmonic oscillator equation using complex exponentials Elasticity and Young s modulus Floating objects Pendulums Water in a U-tube Tortional oscillations 5 The Free Vibrations of Physical Systems The spring of air Oscillations involving massive springs The decay of free vibrations The effects of large damping Applications in marine environment 6 Forced Vibrations and Resonance Undamped oscillator with harmonic forcing Forced oscillations with damping Effect of varying resistive term 7 Middetrm 8 Forced Vibrations and Resonance Transient phenomena The power absorbed by a driven oscillator Example of resonances 9 Coupled Oscillators and Normal Modes Two coupled pendulums Symmetric considerations The superposition of the normal modes Other examples of coupled oscillators 10 Coupled Oscillators and Normal Modes Normal frequencies: general analytic approach Forced vibrations and resonance for two cuppled oscillators Many coupled oscillators Finding the normal modes for N coupled oscillators 11 Normal Modes of Continuous Systems The free vibrations of streched strings The superposition of modes on a string Forced harmonic vibration of a stretched string Longitudinal vibrations of a rod The vibrations of air column 12 Normal Modes of Continuous Systems, Fourier Analysis The complex spectrum of normal modes Normal modes of two-dimensional system Normal modes of three-dimensional system Fourier analysis Normal modes and orthogonal functions 13 Progressive Waves What is a wave Normal modes and traveling waves Progressive waves in one direction Wave speeds Dispersion; phase and group velocities The phenomenon of cut-off The energy in a mechanical wave Examples on oceanic waves 14 Reflection of wave pulses Reflection and refraction of plane waves

Recomended or Required Reading

French, A., P.: Vibrations and Waves, 1974, Buttler & Tanner Ltd, Frome and London

Planned Learning Activities and Teaching Methods

Lectures will be held conventionaly. Every student presents one different type of vibration system in the classroom to discuss the subject in detail.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 ASG ASSIGNMENT 3 FIN FINAL EXAM 4 FCG FINAL COURSE GRADE MTE * 0.20 + ASG * 0.40 + FIN * 0.40 5 RST RESIT 6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.20 + ASG * 0.40 + RST * 0.40

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Prof. Dr. Erdem SAYIN Institute of Marine Sciences and Technology erdem.sayin@deu.edu.tr

Office Hours

will be announce at the first lecture

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 3 39 Preparations before/after weekly lectures 13 3 39 Preparation for midterm exam 1 10 10 Preparation for final exam 1 20 20 Preparing assignments 1 60 60 Preparing presentations 1 10 10 Reading 10 2 20 Midterm 1 3 3 Final 1 3 3 TOTAL WORKLOAD (hours) 204

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 LO.1 4 3 3 2 3 3 2 2 2 2 3 3 LO.2 4 2 2 2 3 3 3 3 4 3 3 3 LO.3 5 5 3 4 5 3 4 4 4 4 4 3 LO.4 4 3 2 2 2 3 2 2 5 3 4 3 LO.5 4 3 2 4 3 3 3 2 3 2 2 3 LO.6 4 2 2 2 2 3 2 2 2 2 2 3