| MATHEMATICS (TURKISH, PHD) | |||||
| PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MCH4208 | Mechanical Vibrations | Fall | 3 | 0 | 3 | 6 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | En |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Assoc. Prof. ARMAĞAN FATİH KARAMANLI |
| Course Lecturer(s): |
Assoc. Prof. MEHMET BERKE GÜR |
| Course Objectives: | The aim of this course is to introduce the students to the fundamental concepts in mechanical vibrations. The course objectives include: 1) Teaching vibration terminology, 2) Reviewing how to construct free-body-diagrams and obtain equations of motion, 3) Explaining different excitation types and how a mechanical system responds to such excitation, 4) Introducing the students to energy based methods for solving vibration problems, 5) Presenting the theory of the vibrations of some distributed parameter systems, |
|
The students who have succeeded in this course; 1) Develops analytical models for single/multi- degree-of-freedom and distributed parameter systems, 2) Computes/simulates the system response due to impulsive, sinusoidal and arbitrary excitation, 3) Models systems using classical and energy based approaches, 4) Solves basic base excitation, shock loading, isolation and transmissibility problems, 5) Explains modal analysis and the relevance of eigenvalues/vectors in modal models of systems, |
W1 Introduction W2 Modelling of 1-DOF Systems-I W3 Modelling of 1-DOF Systems-II W4 Free Vibrations of 1-DOF Systems-I W5 Free Vibrations of 1-DOF Systems-II W6 Harmonically Excited Vibrations of 1-DOF Systems W7 Free Vibrations of 2-DOF Systems-I W8 Free Vibrations of 2-DOF Systems-II W9 Modelling of M-DOF Systems-I W10 Modelling of M-DOF Systems-II W11 Free Vibrations of M-DOF Systems W12 Forced Vibrations of M-DOF Systems W13 Vibrations of Continuous Systems-I W14 Vibrations of Continuous Systems-II |
| Week | Subject | Related Preparation | |
| 1) | Introduction | ||
| 2) | Free Vibrations of 1-DOF Systems-I | ||
| 3) | Free Vibrations of 1-DOF Systems-II | ||
| 4) | Harmonically Excited Vibrations of 1-DOF Systems | ||
| 5) | Vibrations of 1-DOF Systems under General Forcing | ||
| 6) | Vibrations of 2-DOF Systems | ||
| 7) | Midterm Exam | ||
| 8) | Modal Analysis | ||
| 9) | Energy Based Methods for Vibration Analysis | ||
| 10) | Vibrations of Distributed Parameter Systems-I | ||
| 11) | Vibrations of Distributed Parameter Systems-II | ||
| 12) | Vibration Analysis with Finite Element Methods | ||
| 13) | Vibration Control | ||
| 14) | Advanced Topics and Summary | ||
| Course Notes: | 1) W. T. Thomson and M. D. Dahleh, “Theory of Vibration with Applications”, 5th ed., Prentice-Hall, 1993, ISBN: 0-13-651068-X. 2) S. S. Rao, “Mechanical Vibrations”, 4th ed., Pearson, 2004, ISBN: 0-13-120768-7. |
| References: | 1) Ders notları / Lecture notes |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | % 0 | |
| Laboratory | % 0 | |
| Application | % 0 | |
| Field Work | % 0 | |
| Special Course Internship (Work Placement) | % 0 | |
| Quizzes | 10 | % 50 |
| Homework Assignments | % 0 | |
| Presentation | % 0 | |
| Project | % 0 | |
| Seminar | % 0 | |
| Midterms | % 0 | |
| Preliminary Jury | % 0 | |
| Final | 1 | % 50 |
| Paper Submission | % 0 | |
| Jury | % 0 | |
| Bütünleme | % 0 | |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 50 | |
| PERCENTAGE OF FINAL WORK | % 50 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Laboratory | 0 | 0 | 0 |
| Application | 0 | 0 | 0 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 14 | 5 | 70 |
| Presentations / Seminar | 0 | 0 | 0 |
| Project | 9 | 4 | 36 |
| Homework Assignments | 0 | 0 | 0 |
| Quizzes | 0 | 0 | 0 |
| Preliminary Jury | 0 | 0 | 0 |
| Midterms | 1 | 2 | 2 |
| Paper Submission | 0 | 0 | 0 |
| Jury | 0 | 0 | 0 |
| Final | 1 | 3 | 3 |
| Total Workload | 153 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |