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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS CIE 5004 DYNAMICS STABILITY ELECTIVE 2 0 0 6

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR DOCTOR ÖZGÜR ÖZÇELIK

Offered to

STRUCTURAL ENGINEERING Structural Engineering STRUCTURAL ENGINEERING

Course Objective

Performing stability analysis of dynamic systems using advanced numerical and computational techniques to design a system and/or its components.

Learning Outcomes of the Course Unit

1   Classification of dynamic systems with respect to their stability states 2   Applying advanced science, engineering and mathematical principles to stability problems. 3   Designing a system and/or its components to satisfy its intended functions. 4   Applying stability and control tenchiques for system design and analysis 5   Using numerical methods and modern computational tools to solve dynamic stability problems.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 The problem of stability. General theorems of Lypunov s direct method. 2 Stability of equations with constant coefficients. 3 The effect of perturbation forces on equilibrium. Homework 4 First approximation stability, Homework solution submission 5 The case of single zero root 6 The case of a pair of purely imaginary roots. Transient motion, Periodic motions, Chaotic behavior, assignment 7 Problem Solving Session - 1 8 Generalizations of the stabilty concept, Homework solution submission 9 Stability of equilibrium. Bifurcation. Large deflection theory of columns, Initially bent columns, Eccentrically loaded columns 10 Inelastic buckling, General theory of columns. Columns with intermediate loading, Columns with variable cross sections 11 Approximate methods in determining buckling loads. Successive approximation method 12 Problem Solving Session - 2 13 Beam-columns, Buckling of frames 14 Lateral buckling of rods, assingnment presentations

Recomended or Required Reading

Textbook(s): Dynamic Stability of Structures, Wei-Chau Xie, Cambridge University Press Supplementary Book(s): Handouts given during class hours.

Planned Learning Activities and Teaching Methods

Presentations given during class hours, other reading assignments, projects and exams.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 ASG ASSIGNMENT 2 MTE MIDTERM EXAM 3 PRJ PROJECT 4 FCG FINAL COURSE GRADE ASG * 0.30 + MTE * 0.40 + PRJ * 0.30

Further Notes About Assessment Methods

None

Assessment Criteria

LO1-LO5: Projects, midterms and final.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

To be announced.

Office Hours

to be determined

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 14 2 28 Preparing assignments 2 20 40 Preparations before/after weekly lectures 14 3 42 Preparation for midterm exam 2 6 12 Preparation for final exam 1 10 10 Final 1 3 3 Midterm 2 3 6 TOTAL WORKLOAD (hours) 141

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 LO.1 5 5 5 3 5 5 4 LO.2 5 4 4 3 4 4 LO.3 5 5 5 4 5 5 4 LO.4 5 5 5 4 4 4 4 5 4 LO.5 4 4 5 4 5 4 4