Kocaeli University / European Credit Transfer System (ECTS)

Name of Lecturer(s)

Prof. Dr. Kemal BEYEN
Assistant Prof. Dr. Erkan AKPINAR

Learning Outcomes of the Course Unit
Program Competencies-Learning Outcomes Relation

Learning Outcomes of the Course Unit

1) Degree of freedom of a structure
2) Free, forced, undamped, damped vibrations
3) Vibrations of multi degree of freedom systems
4) Numerical methods in structural dynamic behavior
5) State-space methods in time domain analysis
6) Structural behavior with Control algorithms

Program Competencies-Learning Outcomes Relation

		Program Competencies
		1	2	3	4	5	6	7	8	9
Learning Outcomes
	1	High	High	Low	Middle	No relation	High	Middle	High	High
	2	High	High	Low	Middle	No relation	High	Middle	High	High
	3	High	High	Low	Middle	No relation	High	Middle	High	High
	4	High	High	Low	Middle	No relation	High	Middle	High	High
	5	High	High	Low	Middle	No relation	High	Middle	High	High
	6	High	High	Low	Middle	No relation	High	Middle	High	High

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Structural Dynamics, Advanced Earthquake Engineering, Experimental Modal Analysis

Course Contents

Deriving equations of motions in differential form for single degree of freedom and multi-degrees of systems with and without damping, under free and forced vibrations, Numerical solution techniques in the time domain, Control theory, Control algorithms, State Variable Analysis and Introduction to system Design, Concepts of State-Space, Sate Variables and State Model, State Models for Linear Continuous-Time Systems, State Variables and Linear Discrete-Time Systems, Diagonalization, Solution of State Equations, System Eigenvalues, Concepts of Controllability and Observability, Pole Placement by State Feedback, Observer based state feedback control. System Identification Algorithms. In-situ Frequency Response Function Measurement and Modal frequency and mode shape Estimation.

Weekly Schedule

1) Dynamic loads, dynamic characteristics of structural systems.
2) lumped parameter systems. free vibrations of single-degree-of-freedom systems (SDF),
3) damped vibrations, response of SDF systems to harmonic loading,
4) SDF system response to to periodic loading,
5) response of the SDOF systems to general dynamic loading.
6) Rayleigh method.
7) Multi-degree-of-freedom systems (MDS)
8) Mid-term exam
9) equations of motions and solution algorithms.
10) free vibrations and undamped free vibrations of MDS.
11) orthogonality conditions, mode shapes in modal superposition.
12) numerical methods for determination of mode shapes and frequencies.
13) earthquake response of SDF systems, response spectra
14) earthquake response of MDF systems, response spectra.
15) Exercises
16) project presentatio and discussion.

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Modelling
6) Case Study
7) Self Study
8) Problem Solving
9) Project Based Learning

Assessment Methods and Criteria

Contribution of Semester Studies to Course Grade

40%

		Number	Percentage
Semester Studies	Midterm Examination	1	40%
	Quiz	1	30%
	Project	1	30%

Contribution of Final Examination to Course Grade

60%

Total

100%

Language of Instruction

Turkish

Work Placement(s)

Not Required

Course Unit Title	Course Unit Code	Type of Course Unit	Level of Course Unit	Year of Study	Semester	ECTS Credits
Advanced Structural Dynamics	INS527	Elective	Master's degree	1	Fall	8