COURSE UNIT TITLE

: ENERGY METHODS IN VIBRATIONS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MEE 5076 ENERGY METHODS IN VIBRATIONS 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

This course is of particular importance to the practicing engineer because it presents various methods of treating eigenvalue problems for which exact solutions do not exist, or are not feasible. It should be pointed out that the vast majority of continuous systems lead to eigenvalue problems that do not lend themselves to closed-form solutions, owing to non-uniform mass or stiffness distributions. Hence, quite often one is forced to seek approximate solutions of the eigenvalue problem. The methods used are based on energy of the system.

Learning Outcomes of the Course Unit

1   To formulate equations of motions of vibration systems
2   To realize approximate methods to determine the natural frequencies of mechanical
3   To formulate the finite element model of a structure
4   To solve the equations of motions of Holonomic and Non-holonomic systems
5   To make the Eigenvalue analysis

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction
2 Rayleigh's Method, Proof of Rayleigh's Principle
3 Lagrange's Theorem
4 The Rayleigh-Ritz Method and theRitz-Galerkin Method
5 Basis of Galerkin Method
6 Holonomic and Non-holonomic systems
7 Statement of Hamilton's Principle
8 1st Mid-term
9 Finite Element Method
10 Code Assembly Procedure
11 2nd Mid-term
12 Eigenvalue Solution
13 Higher Derivative Elements, Internal Node Elements
14 Application

Recomended or Required Reading

1- Vibration Problem in Engineering. S. Timoshenko, D. Van Nostrand Company, 1955
2- Elements of Vibration Analysis. Leonard Meirovitch, McGraw-Hill Kogakusha, Ltd. 1975

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)

1-Dokuz Eylül University, Faculty of Engineering, Department of Mechanical Engineering, e-mail:: hasan.ozturk@deu.edu.tr , phone: 0 232 3019231.

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 2 8 16
Preparing Presentations 3 7 21
Final 1 2 2
Mid-term 2 2 4
TOTAL WORKLOAD (hours) 211

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.1324224323333233
LO.2324224323333233
LO.3325324323333333
LO.4334324333334333
LO.5434324333334333

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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