MMÜ631 - ADVANCED MECHANICAL VIBRATION

Course Name Code Semester Theory
(hours/week)
Application
(hours/week)
Credit ECTS
ADVANCED MECHANICAL VIBRATION MMÜ631 Any Semester/Year 3 0 3 8
PrequisitesNone
Course languageEnglish
Course typeElective 
Mode of DeliveryFace-to-Face 
Learning and teaching strategiesLecture
Drill and Practice
Problem Solving
 
Instructor (s)Departmental Faculty 
Course objectiveThe aim of this course is to teach how to compute the response of MDOF mechanical systems 
Learning outcomes
  1. At the end of the lesson student will
  2. Solve the differential equation that represents the behavior of MDOF mechanical systems,
  3. Solve the Partial Differential Equation that represents the behavior of continuous systems.
Course ContentTime and frequency domain mathematical techniques for linear system vibrations. Equations of motion of discrete non-conservative systems. Vibration of multi-degree-of-freedom systems. Small oscillation theory. Free vibration eigenvalue problem. Undamped system response. Viscously damped systems. Vibration of continuous systems. Modes of vibration of bars, beams, membranes, plates. 
ReferencesShabana, A., Vibration of Discrete and Continuous Systems, Springer Verlag, New York, First Edition, 1991; Second Edition, 1997. 

Course outline weekly

WeeksTopics
Week 1Equations of motion of MDOF systems
Week 2Equations of motion of MDOF systems
Week 3Response of undamped MDOF systems
Week 4Response of damped MDOF systems
Week 5Response of damped MDOF systems
Week 6Midterm I.
Week 7Numerical Methods
Week 8Analysis of continous systems : Analysis of Bars
Week 9Analysis of continous systems : Analysis of Plates
Week 10Analysis of continous systems : Analysis of Plates
Week 11Analysis of continous systems : Analysis of Membranes
Week 12Midterm II.
Week 13Special Topics: Mechanical Vibration Problems
Week 14Special Topics: Mechanical Vibration Problems
Week 15Special Topics: Mechanical Vibration Problems
Week 16Final Exam

Assesment methods

Course activitiesNumberPercentage
Attendance00
Laboratory00
Application00
Field activities00
Specific practical training00
Assignments1420
Presentation00
Project110
Seminar00
Midterms230
Final exam140
Total100
Percentage of semester activities contributing grade succes1760
Percentage of final exam contributing grade succes140
Total100

WORKLOAD AND ECTS CALCULATION

Activities Number Duration (hour) Total Work Load
Course Duration (x14) 14 3 42
Laboratory 0 0 0
Application000
Specific practical training000
Field activities000
Study Hours Out of Class (Preliminary work, reinforcement, ect)14456
Presentation / Seminar Preparation000
Project14848
Homework assignment14456
Midterms (Study duration)21020
Final Exam (Study duration) 11818
Total Workload4687240

Matrix Of The Course Learning Outcomes Versus Program Outcomes

D.9. Key Learning OutcomesContrubition level*
12345
1. Obtain advanced level theoretical and applied knowledge by gaining expertise in different areas of Mechanical Engineering.    X 
2. Have knowledge, skills and and competence to develop novel approaches in science and technology. X    
3. Use the tools of the basic and engineering sciences in the solution of complex engineering problems.    X 
4. Contribute to the science and technology literature by publishing results of their academic work. X    
5. Carry out a comprehensive research study that results in a new scientific method or leads to a technological product/process, that brings innovation to science/technology, or is an application of a known methodology into a new field.   X 
6. Are able to carry out an advanced level research work in his/her field independently.X    
7. Take the responsibility and develop new strategical approaches for solving unforeseen complicated problems in engineering.   X  
8. Are able to show leadership when faced with problems related to mechanical engineering. X    
9. Are aware of the life-long learning philosophy and its opportunities in effective monitoring of current developments in Mechanical Engineering.X    
10. Can present his/her ideas and works in written and oral forms effectively; in Turkish or English.  X  
11. Follows and interprets scientific literature and uses them efficiently for the solution of engineering problems.X    
12. Use the information and communication technologies at the advanced level as required by the area of specialization and work.    X 
13. Are aware of his/her social responsibilities, evaluates scientific and technological developments with impartiality and ethical responsibility. X    
14. Uses the information which he/she absorbs from his/her field, the problem solving and practical skills in interdiciplinary studies.X    

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