COURSE UNIT TITLE

: LINEAR VIBRATION ANALYSIS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MEE 5067 LINEAR VIBRATION ANALYSIS 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

PROFESSOR DOCTOR HASAN ÖZTÜRK

Offered to

Machine Theory and Dynamics (English)
Machine Theory and Dynamics (English)
Machine Theory and Dynamics (English)

Course Objective

Fundamentals of vibration based on dynamical principles with applications serving to illustrate theory will be examined. To represent different types of systems exhibiting dissimilar dynamical characteristics, discrete and continuous systems will be described by ordinary differential and partial differential equations, respectively. Exact solution for the vibration of continuous systems can be obtained mostly in special cases; only a limited number of continuous systems will be discussed, such as strings in transverse vibration rods in axial vibration, shafts in torsion and bars in bending.

Learning Outcomes of the Course Unit

1   To formulate equations of motions of vibration systems.
2   To solve the equations of motions of the one-degree of freedom systems.
3   To formulate mathematical models of multi-degree of freedom and continuous systems.
4   To realize force vibration.
5   To make the natural frequency analysis using approximate methods.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Fundamentals of vibrations
2 Free vibration of single degree of freedom systems
3 Harmonically excited vibration: Undamped systems
4 Harmonically excited vibration: damped systems
5 Vibration under general forcing conditions
6 Two degree of freedom systems
7 Multidegree of freedom systems
8 1st Mid-term
9 Response of Systems by Modal Analysis
10 Determination of natural frequencies and mode shapes
11 2nd Mid-term
12 Continuous systems: Transver vibration of a Cable and Longitudinal vibration
13 Continuous systems: Torsinal and Lateral vibration
14 Vibrations control

Recomended or Required Reading

1-Rao, S., Mechanical Vibrations Addison-Wesley Publishing Comp., 1995
2- Meitrovitch, L., "Elements of Vibration Analysis" McGraw-Hill, 1975
3- Thomson, W.T., "Vibration Theory and Applications" Prentice-Hall, 1971

Planned Learning Activities and Teaching Methods

Presentation + Application + Homework

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE 1 MIDTERM EXAM 1
2 MTE 2 MIDTERM EXAM 2
3 ASG ASSIGNMENT
4 FIN FINAL EXAM
5 FCG FINAL COURSE GRADE MTE 1 * 0.20 + MTE 2 * 0.20 + ASG * 0.10 + FIN * 0.50
6 RST RESIT
7 FCGR FINAL COURSE GRADE (RESIT) MTE 1 * 0.20 + MTE 2 * 0.20 + ASG * 0.10 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

Homeworks are assigned to the students after the weekly lessons. Students strengthen their learning by solving homeworks. The successes of the students are evaluated by two mid-term exams, homework and the final exam.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Dokuz Eylül University, Faculty of Engineering, Department of Mechanical Engineering, e-mail:: hasan.ozturk@deu.edu.tr , phone: 0 232 3019232.

Office Hours

Will be announced by the instructor according to the weekly schedule.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 12 3 36
Preparation before/after weekly lectures 12 6 72
Preparation for Mid-term Exam 2 20 40
Preparation for Final Exam 1 20 20
Preparing Individual Assignments 1 10 10
Preparing Presentations 3 7 21
Final 1 2 2
Mid-term 2 2 4
TOTAL WORKLOAD (hours) 205

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.1314224312233233
LO.2314224312233233
LO.3325324323333333
LO.4334314333334333
LO.5434314333334333