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Description of Individual Course Units| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MTM-23-110 | İLERİ MEKANİK TİTREŞİMLER | Elective | 1 | 1 | 6 |
| | Level of Course Unit | | Second Cycle | | Objectives of the Course | | Formulate and solve the related eigenvalue problem by obtaining the equations of motion of a real mechanical system modeled as a discrete or continuous system. To obtain mod shapes and eigen frequencies approximately. To study free and forced vibrations of discrete systems.
Knows Basic Concepts from Vibration Theory. Obtain motion equations of multi degree of freedom systems. Formulate and solve the related eigenvalue problem. Knows the Virtual Work, D'Alembert and Hamilton Principles and Lagrange Equations of the movement. Knows the vibrations of continuous systems. | | Name of Lecturer(s) | | Dr. Öğr. Üyesi Muhammet Raci AYDIN | | Learning Outcomes | | 1 | Representing a linear behavioral mechanical system in real life with a discrete or continuous model, | | 2 | - To be able to write the equations of motion related to models and solve them with the help of eigenvalue problem, | | 3 | - To be able to examine the behavior of systems under damping and compelling effects, | | 4 | - Approximate finding of the modal characteristics of the systems, |
| | Mode of Delivery | | Daytime Class | | Prerequisites and co-requisities | | no prerequisites | | Recommended Optional Programme Components | | | Course Contents | | Introduction to Advanced Mechanical Vibrations: Effect Coefficients, Stiffness and Mass Matrices
Introduction to Advanced Mechanical Vibrations: Coordinate Transformations, Commitment
Natural Modes and Free Vibrations in Discrete Systems: Eigenvalue Problem, Mods
Natural Modes and Free Vibrations in Discrete Systems: Semi-Specific Systems
Natural Modes and Free Vibrations in Discrete Systems: Semi-Specific Systems
Natural Modes and Free Vibrations in Discrete Systems: Rayleigh Ratio, Dunkerley Formula
Free Vibrations of Continuous Systems: Boundary Value Problem, Eigenvalue Problem
Midterm
Vibrations of Continuous Systems: Vibration of Wires, Longitudinal Vibration of Rods and Shafts (Movement Obtaining Equations From Newton's Laws)
Vibrations of Continuous Systems: (Obtaining Motion Equations from Hamilton Principle)
Vibrations of Continuous Systems: Bending Vibrations of Bars (Obtaining the Equation of Motion from Hamilton Principle)
Approximate Methods for Natural Modes and Frequencies: Rayleigh Ratio, Rayleigh Energy Method, Rayleigh-Ritz Method, Lagrange Equations Method
Damped Vibrations of Discrete and Continuous Systems | | Weekly Detailed Course Contents | |
| 1 | Introduction to Advanced Mechanical Vibrations: Effect Coefficients, Stiffness and Mass Matrices | | | | 2 | Introduction to Advanced Mechanical Vibrations: Coordinate Transformations, Commitment | | | | 3 | Natural Modes and Free Vibrations in Discrete Systems: Eigenvalue Problem, Mods | | | | 4 | Natural Modes and Free Vibrations in Discrete Systems: Semi-Specific Systems | | | | 5 | Natural Modes and Free Vibrations in Discrete Systems: Semi-Specific Systems | | | | 6 | Natural Modes and Free Vibrations in Discrete Systems: Rayleigh Ratio, Dunkerley Formula | | | | 7 | Free Vibrations of Continuous Systems: Boundary Value Problem, Eigenvalue Problem | | | | 8 | Midterm | | | | 9 | Vibrations of Continuous Systems: Vibration of Wires, Longitudinal Vibration of Rods and Shafts (Movement Obtaining Equations From Newton's Laws) | | | | 10 | Vibrations of Continuous Systems: (Obtaining Motion Equations from Hamilton Principle) | | | | 11 | Vibrations of Continuous Systems: Bending Vibrations of Bars (Obtaining the Equation of Motion from Hamilton Principle) | | | | 12 | Approximate Methods for Natural Modes and Frequencies: Rayleigh Ratio, Rayleigh Energy Method, Rayleigh-Ritz Method, Lagrange Equations Method | | | | 13 | Damped Vibrations of Discrete and Continuous Systems | | | | 14 | Final | | |
| | Recommended or Required Reading | | - L. Meirovitch: "Analytical Methods in Vibrations", New-York, The Macmilan Comp., 1967.
- F.Pasin: “Mechanical Systems Dynamics”, ITU Rectorate, Number: 1540,1994.
D.T.Greenwood: “Principles of Dynamics”, Sec. Ed., New Jersey, Prentice-Hall, 1988.
- W. T. Thomson, M. D. Dahleh “Theory of vibration with applications”, 5th edition, Prentice Hall, 1997.
- Singiresu S. Rao, Mechanical Vibrations (5th Edition), ISBN-13: 978-0132128193. Pearson, UK.
- S.Gabra Kelly, Mechanical Vibrations: Theory and Applications (1st ed.), ISBN-13: 978-1439062128, Cengage Learning. | | Planned Learning Activities and Teaching Methods | | | Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 50 | | End Of Term (or Year) Learning Activities | 50 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | no prerequisites |
| | Workload Calculation | |
| Midterm Examination | 1 | 1 | 1 | | Final Examination | 1 | 20 | 20 | | Attending Lectures | 12 | 8 | 96 | | Problem Solving | 12 | 1 | 12 | | Self Study | 12 | 1 | 12 | | Homework | 5 | 5 | 25 | |
| Contribution of Learning Outcomes to Programme Outcomes | | | * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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