| 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;
- Develop mathematical formulations for complex structural systems using the matrix displacement method, suitable for computational implementation,
- Analyze second-order effects (P-Delta) and large displacement behavior in structural systems under various loading conditions,
- Evaluate the pre-failure capacity and post-yield behavior of structures by accounting for material nonlinearity (plasticity),
- Select and implement appropriate numerical solution algorithms (explicit or implicit) for both static and dynamic nonlinear structural problems.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | None |
|---|
| Course Description | Finite element method basics; variation formulation; membrane elements, drilling degrees of freedom; thin and thick plate elements; flat shell elements. Modeling issues. Instruction to nonlinear geometric analysis; shallow and deep truss elements; advanced solution techniques; dynamic analysis in time domain; explicit and implicit solution approaches. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Review: Advanced matrix displacement method and stiffness formulations. |
|
2nd Week |
Principle of Virtual Work: Energy principles in structural mechanics. |
|
3rd Week |
Introduction to Nonlinear Analysis: Sources of nonlinearity (Geometric vs. Material). |
|
4th Week |
Geometric Nonlinearity I: P-Delta effects and stability stiffness matrices. |
|
5th Week |
Geometric Nonlinearity II: Large displacement theory and corotational formulations. |
|
6th Week |
Material Nonlinearity I: Yield criteria and plasticity theory for structural elements. |
|
7th Week |
Material Nonlinearity II: Concentrated plasticity (plastic hinges) vs. distributed plasticity (fiber models). |
|
8th Week |
Midterm |
|
9th Week |
Numerical Solution Strategies I: Incremental analysis and Newton-Raphson iterations. |
|
10th Week |
Numerical Solution Strategies II: Convergence criteria and Arc-length methods. |
|
11th Week |
Time-Domain Analysis I: Equations of motion, mass and damping matrix construction. |
|
12th Week |
Time-Domain Analysis II: Explicit time integration schemes (Central Difference Method). |
|
13th Week |
Time-Domain Analysis III: Implicit time integration schemes (Newmark-beta, Wilson-theta). |
|
14th Week |
Computational Modeling: Modeling strategies in finite element software (OpenSees, SAP2000, etc.). |
|
15th Week |
Term Project Presentations: Advanced analysis of a complex structural system. |
|
| Recommended or Required Reading | 1. Matrix Methods for Advanced Structural analysis, M. Papadrakais, E.J. Sapountzakis, Elsevier, 2018.
2. Finite Element Procedures, Bathe K. J., Prentice Hall, 1996. |
|---|
| 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 |
|---|
