Information Package / Course Catalogue
Advanced Mechanical Vibrations and İts Applications
Course Code: MME535
Course Type: Area Elective
Couse Group: Second Cycle (Master's Degree)
Education Language: English
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

To introduce knowledge to graduate students on modelling mechanical systems from real life applications as discrete or continuous systems, to solve eigenvalue problems, and to investigate free and forced vibrations of discrete systems.

Course Content

Obtaining equation of motion of mechanical systems, solving eigenvalue problems, approximate solutions on obtaining eigenfrequency and mode shapes, and analyzing free and forced vibration of discrete systems.

Name of Lecturer(s)
Learning Outcomes
1.To model mechanical systems from real-life applications as discrete or continuous systems
2.To learn knowledge on vibration and mode shapes of mechanical systems by solving eigenvalue problems
3.To learn knowledge on damped and forced vibrational response of mechanical systems
4.To able to solve advanced dynamic problems
5.To able to simulate advanced dynamic problems
Recommended or Required Reading
1.Mechanical Vibrations, S.S. Rao, Pearson
2.Analytical Methods in Vibrations, L.Meirovitch, New-York,The Macmilan Comp
3.Principles and Techniques of Vibrations, L. Meirovitch, New Jersey, Prentice Hall
Weekly Detailed Course Contents
Week 1 - Theoretical
Review of Lagrange Mechanics: Obtaining equation of motion of mechanical systems
Week 2 - Theoretical
Modeling mechanical systems as discrete systems
Week 3 - Theoretical
Vibration of discrete systems: Mass and Stiffness matrices
Week 4 - Theoretical
Eigenvalue problem and mode shapes
Week 5 - Theoretical
Full and semi-definite discrete systems
Week 6 - Theoretical
Approximate methods on eigenfrequency determination
Week 7 - Theoretical
Continuous systems
Week 8 - Intermediate Exam
Continuous systems, Midterm Exam
Week 9 - Theoretical
Vibration of strings, axial and torsional vibration of rods
Week 10 - Theoretical
Bending vibration of beams
Week 11 - Theoretical
Bending vibration of beams
Week 12 - Theoretical
Approximate methods on vibration of continuous systems
Week 13 - Theoretical
Damped vibration of discrete systems
Week 14 - Theoretical
Forced vibration of discrete systems, Forced vibration of continuous systems
Week 15 - Final Exam
Final exam
Week 16 - Final Exam
Final exam
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment2%15
Midterm Examination1%20
Final Examination1%50
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory1454126
Assignment50315
Term Project1151025
Quiz2318
Midterm Examination115217
Final Examination110212
TOTAL WORKLOAD (hours)203
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
OÇ-1
3
4
4
4
3
4
4
4
4
3
4
5
OÇ-2
4
5
4
3
4
5
4
3
4
4
4
3
OÇ-3
3
4
3
4
4
4
4
3
4
5
4
4
OÇ-4
3
4
5
5
4
3
3
4
5
5
4
3
OÇ-5
3
4
5
5
4
3
5
4
3
3
4
5
Adnan Menderes University - Information Package / Course Catalogue
2026