GRADUATE SCHOOL

Mechanical Engineering Master's Program with Thesis (English)

ME 522 | Course Introduction and Application Information

Course Name
Fundamentals of Linear Vibration Analysis
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
ME 522
Fall/Spring
3
0
3
7.5

Prerequisites
None
Course Language
English
Course Type
Elective
Course Level
Second Cycle
Mode of Delivery -
Teaching Methods and Techniques of the Course Problem Solving
Lecture / Presentation
Course Coordinator
Course Lecturer(s)
Assistant(s) -
Course Objectives The aim of this course is to outline and teach the theoretical aspects of vibrating systems. Course will be focusing on two main aspects, namely, theoretical vibration analysis of discrete and continuous systems. In this respect, theoretical formulations will be provided based on the principles of dynamics and/or mechanics of materials leading to ordinary and partial differential equations for discrete and continuous systems, respectively. Exact solutions for the vibration of simple, but still representative, continuous systems can be obtained mostly in special cases. To form a basis for a more advanced coverage, only a limited number of continuous systems will be discussed, such as the transverse vibration of a string, axial vibration of rods, torsional vibration of shafts and lateral vibration of beams.
Learning Outcomes The students who succeeded in this course;
  • Formulate equations of motions of discrete vibrating systems.
  • Solve the equations of motions of one-degree of freedom systems.
  • Formulate the mathematical models of multi-degree of freedom and continuous systems.
  • Perform the natural frequency analysis using analytical and approximate methods.
  • Perform forced motion analysis of vibrating systems, either discrete or continuous systems.
Course Description In this course, students will learn the main steps to create a mathematical model of simple and/or complex vibrating systems. Later on, they will analyze these models in order to find the response of the system in time or in frequency domain(in terms of its natural frequencies and vibration modes).

 



Course Category

Core Courses
Major Area Courses
X
Supportive Courses
Media and Management Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Related Preparation
1 Fundamentals of Vibration Engineering Vibrations, 4th Ed., Daniel Inman, 2013, ISBN: 978-0273768449, Chapter 1
2 Free vibration of one-degree of freedom systems Inman, Chapter 1
3 Harmonically excited vibration: Undamped systems Inman, Chapter 2
4 Harmonically excited vibration: Damped systems Inman, Chapter 2
5 Vibration under general loading conditions Inman, Chapter 3
6 Multi degree of freedom systems Inman, Chapter 4
7 Multi degree of freedom systems Inman, Chapter 4
8 Response Analysis of Systems by Modal Analysis Inman, Chapter 4
9 Midterm
10 Design for Vibration Suppression Inman, Chapter 5
11 Design for Vibration Suppression Inman, Chapter 5
12 Continuous systems: Transverse vibration of a string Inman, Chapter 6
13 Continuous systems: Torsional and Lateral vibration of Beams Inman, Chapter 6
14 Continuous systems: Torsional and Lateral vibration of Beams, effects of different boundary conditions Inman, Chapter 6
15 Review of the Semester
16 Final Exam

 

Course Notes/Textbooks

Engineering Vibrations, 4th Ed.,  Daniel Inman, 2013, ISBN: 978-0273768449

Suggested Readings/Materials

Mechanical Vibrations, 6th Ed, Singiresu S. Rao, Pearson. ISBN: 978-9353062569

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
5
40
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
1
20
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
6
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Theoretical Course Hours
(Including exam week: 16 x total hours)
16
3
48
Laboratory / Application Hours
(Including exam week: '.16.' x total hours)
16
0
Study Hours Out of Class
14
5
70
Field Work
0
Quizzes / Studio Critiques
0
Portfolio
0
Homework / Assignments
5
8
40
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
1
27
27
Final Exam
1
40
40
    Total
225

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

 


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