| Weeks | Topics |
| 1 |
Introduction
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| 2 |
Classification of Vibrations
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| 3 |
Vibration Analysis Procedure, Spring Elements: Mass or Inertia Elements, Damping Elements, Harmonic Motion: Vectorial Representation of Harmonic Motion, Complex-Number Representation of Harmonic Motion, Complex Algebra, Harmonic analysis
|
| 4 |
Free Vibration of Single-Degree-of-Freedom Systems: Free Vibration of an Undamped Translational System, Free Vibration of an Undamped Torsional System, Rayleigh’s Energy Method
|
| 5 |
Free Vibration with Viscous Damping:
|
| 6 |
Harmonically Excited Vibrations:
|
| 7 |
Computer aided solution of hamonically excited vibrations under damping
|
| 8 |
Two-Degree-of-Freedom Systems: Equations of Motion for Forced Vibration, Free Vibration Analysis of an Undamped System, Forced-Vibration Analysis
|
| 9 |
Midterm Exam (According to academical calender)
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| 10 |
Kinetic and Potential Energy
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| 11 |
Determination of Natural Frequencies and Mode Shapes: Dunkerley’s Formula, Rayleigh’s Method: Computation of the Fundamental Natural Frequency, Fundamental Frequency of Beams and Shafts
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| 12 |
Holzer’s Method: Torsional Systems, Spring-Mass Systems, Matrix Iteration Method:
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| 13 |
Multidegree-of-Freedom Systems: Modeling of Continuous Systems as Multidegree of-Freedom Systems, Using Newton’s Second Law to Derive Equations of Motion, Influence Coefficients
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| 14 |
Beam natural Frequency under different boundary conditions
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