| Course Type | Elective Course |
|---|
| Course Level | Master's Degree With Thesis |
|---|
| Year of Study | - |
|---|
| Semester | - |
|---|
| ECTS | 10 |
|---|
| Name of Lecturer(s) |
- |
| Learning Outcomes |
At the end of this course, the students;
- Formulate and analyze equations of motion for structures under dynamic loads using physical principles,
- Calculate natural vibration properties (periods and modes) of complex systems using mathematical methods,
- Evaluate structural behavior under earthquake loads using response spectrum analysis,
- Apply numerical integration techniques to solve dynamic equations in the time domain.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | None |
|---|
| Course Description | Dynamic disturbances. Single and multi-degree of freedom systems. Continuous systems. Equations of motion. Energy methods in structural dynamics. Application in structural design. Earthquake response of structures. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Introduction: Nature of dynamic problems, formulation of equation of motion, mass-spring-damper elements. |
|
2nd Week |
SDOF Systems I: Free vibration, undamped and damped cases. |
|
3rd Week |
SDOF Systems II: Harmonically excited vibrations, resonance, and effect of damping. |
|
4th Week |
SDOF Systems III: Vibration under periodic and impulsive loads, Duhamel Integral. |
|
5th Week |
Numerical Methods: Step-by-step solution methods in the time domain (Newmark-beta, Central Difference). |
|
6th Week |
Earthquake Response Analysis: Structural response to ground motion, total and relative displacements. |
|
7th Week |
Response Spectrum: Concept of design spectrum, spectral acceleration, velocity, and displacement. |
|
8th Week |
Midterm |
|
9th Week |
MDOF Systems I: Matrix formulation of equations of motion, mass, and stiffness matrices. |
|
10th Week |
MDOF Systems II: Eigenvalue problems, derivation of natural frequencies and mode shapes. |
|
11th Week |
Orthogonality of Modes: Principles of modal analysis and decoupling of equations. |
|
12th Week |
Solving MDOF Systems: Modal Superposition method and its applications. |
|
13th Week |
Damping Matrix: Modeling proportional (Rayleigh) damping. |
|
14th Week |
Continuous Systems: Dynamics of beams and rods with distributed mass, boundary value problems. |
|
15th Week |
Applications: Dynamic analysis of multi-story buildings and computer-aided solutions. |
|
| Recommended or Required Reading | 1. Dynamics of Structures, Anil K. Chopra, Pearson.
2. Basic Earthquake Engineering: From Seismology to Analysis and Design, Haluk Sucuoğlu, Sinan Akkar, Springer. |
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Questions/Answers
- Presentation
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
30 |
| Assignment |
1 |
10 |
| Quiz |
1 |
20 |
| Total(%) |
|
60 |
| Contribution of In-term Studies to Overall Grade(%) |
|
60 |
| Contribution of Final Examination to Overall Grade(%) |
|
40 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
2 |
2 |
| Preparation for Quiz |
1 |
50 |
50 |
| Individual or group work |
14 |
3 |
42 |
| Preparation for Final exam |
1 |
80 |
80 |
| Course hours |
14 |
3 |
42 |
| Preparation for Midterm exam |
1 |
60 |
60 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
1 |
20 |
20 |
| Quiz |
1 |
2 |
2 |
| Total Work Load | 300 |
| Total Work Load / 30 (h) | 10 |
| ECTS Credit of the Course | 10 |
|
| Language of Instruction | English |
|---|
| Work Placement(s) | No |
|---|
