TÜRKÇE
ENGLISH
Information
| Code | İM506 |
| Name | Structural Dynamics |
| Term | 2024-2025 Academic Year |
| Term | Spring |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Belirsiz |
| Level | Yüksek Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | |
| Course Instructor |
Prof. Dr. AHMED KAMİL TANRIKULU
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
This course aims to teach the fundamental principles for understanding and analyzing the vibrational behavior of mechanical systems. Formulation methods, including the Virtual Displacement Method and D'Alembert's Principle, are examined, along with free and forced vibration analyses of single and multi-degree-of-freedom systems. The focus is on mass and stiffness matrices, vibration modes, and mode superposition methods to comprehend the dynamic responses of structures. Additionally, the course covers the analysis of structural behavior under seismic effects, providing essential methods for engineering applications.
Course Content
General Information: Formulation methods. Formulation with the Virtual Displacement Method. Formulation with D'Alembert's Principle. Single degree of freedom systems: Free and forced vibration of Single Degree of Freedom Systems. Steady and transient behavior. Multi-degree of freedom systems: Mass and stiffness matrices. Vibration Modes. Free and forced vibration of Multi-degree of Freedom Systems. Mode Superposition Method. Earthquake analysis of structures.
Course Precondition
Students must have a bachelor's degree in engineering.
Resources
Celep, Z. Yapı Dinamiği (Structural Dynamics) (4th ed.). Beta Basım Yayın Dağıtım. Uzsoy, Ş. Z. Yapı Dinamiği ve Deprem Mühendisliği (Structural Dynamics and Earthquake Engineering). Birsen Yayınevi.
Notes
Chopra, A. K. Dynamics of Structures. Prentice Hall. Craig, R. R. Jr. Structural Dynamics. John Wiley & Sons. Clough, R. W., & Penzien, J. Dynamics of Structures. Computers & Structures, Inc. Chopra, A. K. Yapı Dinamiği (Structural Dynamics). (Transl. H. Luş, 4th ed.). Palme Yayıncılık.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Understand the vibrational behavior of mechanical systems |
| LO02 | Apply formulation methods |
| LO03 | Perform free and forced vibration analyses |
| LO04 | Conduct matrix-based analysis of multi-degree-of-freedom systems |
| LO05 | Utilize the mode superposition method for system analysis |
| LO06 | Analyze the dynamic behavior of structures under seismic loads |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have knowledge and understanding at advanced level providing required basis for original projects in the field of civil engineering based on qualifications gained at undergraduate level. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Gain required knowledge through scientific research in the field of engineering, evaluate, interpret and apply data. | 5 |
| PLO03 | Yetkinlikler - Öğrenme Yetkinliği | Be aware of new and emerging applications,examine and learn where necessary. | |
| PLO04 | Yetkinlikler - Öğrenme Yetkinliği | Construct engineering problems, develop strategies to solve them, and apply innovative methods for solutions. | |
| PLO05 | Yetkinlikler - Öğrenme Yetkinliği | Design and implement analytical modeling and experimental research and solve complex situations encountered in this process. | |
| PLO06 | Yetkinlikler - Öğrenme Yetkinliği | Develop new and / or original ideas and methods; develop innovative solutions for the system, part, and process design. | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Have learning skills. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Be aware of innovative developments in the field of civil engineering, and analyse and learn them when needed. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | ransfer process and results of the projects in the field of civil engineering or on national and international platforms in written or oral form. | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Have knowledge in current techniques and methods applied in civil engineering. | 3 |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Use computer software as well as information and communication technologies at the level required in the field of civil engineering. | 3 |
| PLO12 | Beceriler - Bilişsel, Uygulamalı | Oversee social, scientific and ethical values in all professional platforms. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction and Fundamental Concepts: Introduction to vibrations and structural dynamics. Concept of degrees of freedom. Importance of free and forced vibrations in engineering. | Recommended Readings: Introduction to structural dynamics (relevant chapter from the textbook) Basic concepts of single-degree-of-freedom (SDOF) systems Preparation Tasks: What are vibrations and dynamic systems? Research the concept of degrees of freedom. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 2 | Formulation Methods: Derivation of equations of motion. Virtual Displacement Method. -D’Alembert’s Principle. | Recommended Readings: D’Alembert’s Principle and Virtual Work Method Preparation Tasks: Review Newton’s laws of motion. Study the formulation of motion equations using differential equations. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 3 | Free Vibration of Single Degree of Freedom (SDOF) Systems. Natural frequency and vibration period. Analysis of undamped and damped systems. | Recommended Readings: Fundamental principles of free vibration. Natural frequency and period concepts. Preparation Tasks: Review basic equations of harmonic motion. Learn how to determine a system’s natural frequency. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 4 | Forced Vibration of Single Degree of Freedom (SDOF) Systems: System behavior under harmonic loads. Resonance phenomenon. Steady-state and transient responses. | Recommended Readings: Harmonic loading and resonance phenomena. Preparation Tasks: Understand the concepts of damping ratio and resonance. Research real-world examples of resonance effects. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 5 | Dynamic Analysis Under Impact Loads: Concept of impact and impulsive loading. Response of SDOF systems to impact loads. Application of Duhamel’s integral. | Recommended Readings: Impact loads and response functions. Preparation Tasks: Gain basic knowledge about Duhamel’s integral. Research the response of structures under impact loads. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 6 | Dynamic Analysis of Multi-Degree-of-Freedom (MDOF) Systems: Mathematical modeling of multi-degree-of-freedom systems. Formation of mass and stiffness matrices. | Recommended Readings: Mathematical modeling of multi-degree-of-freedom systems. Preparation Tasks: Review basic concepts of matrix algebra. Study the formation of mass and stiffness matrices. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 7 | Dynamic Analysis of Multi-Degree-of-Freedom (MDOF) Systems: Free vibration analysis. Modal analysis and determination of vibration modes. | Recommended Readings: Free vibration analysis and modal analysis. Preparation Tasks: Examine how mode shapes and natural frequencies are determined. Research applications of modal analysis in real structures. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | Preparation Tasks: Solve example problems to prepare the exam. | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Dynamic Analysis of Multi-Degree-of-Freedom (MDOF) Systems: Forced vibration of multi-degree-of-freedom systems. Mode superposition method. | Recommended Readings: Forced vibration and mode superposition method. Preparation Tasks: Investigate the applications of the mode superposition method in structures. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 10 | Dynamic Behavior of Continuous Systems: Free and forced vibration of continuous systems. System solution using differential equations. | Recommended Readings: Dynamic analysis of continuous systems. Preparation Tasks: Study how differential equations are used to analyze continuous systems. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 11 | Structural Response Under Seismic Loads: Fundamental characteristics of earthquake motions. Ground motion parameters. Introduction to seismic response spectra. | Recommended Readings: Fundamental characteristics of earthquake motions. Preparation Tasks: Research different types of earthquakes and ground motion records. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 12 | Structural Response Under Seismic Loads: Seismic analysis methods. Seismic response of single-degree-of-freedom (SDOF) and multi-degree-of-freedom (MDOF) systems. Earthquake engineering approaches. | Recommended Readings: Seismic analysis methods in earthquake engineering. Preparation Tasks: Study seismic design codes and regulations. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 13 | General Review and Special Topics. Advanced structural dynamics topics. Special engineering applications. | Recommended Readings: Advanced structural dynamics topics. Preparation Tasks: Explore recent research and innovations in structural dynamics. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 14 | Final Exam Preparation: Final review of the course. Preparation for the final exam. | Recommended Readings: General review of the course. Preparation Tasks: Solve sample exam questions. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 15 | Final Exam Preparation: Final review of the course. Preparation for the final exam. | Recommended Readings: General review of the course. Preparation Tasks: Solve sample exam questions. | Öğretim Yöntemleri: Soru-Cevap |
| 16 | Term Exams | Preparation Tasks: Solve example problems to prepare the exam. | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Preparation Tasks: Solve example problems to prepare the exam. | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 13 | 4 | 52 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 5 | 4 | 20 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 3 | 3 |
| Final Exam | 1 | 3 | 3 |
| Total Workload (Hour) | 148 | ||
| Total Workload / 25 (h) | 5,92 | ||
| ECTS | 6 ECTS | ||