| Weeks | Topics |
| 1 |
Introduction: Importance of the Study of Vibration, Brief History of the Study of Vibration, Basic Concepts of Vibration: Elements of a Vibratory System: mass, spring and damper, Number of Degrees of Freedom
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| 2 |
Classification of Vibrations: Free and Forced Vibrations, Undamped and Damped Vibrations, Linear and Nonlinear Vibrations, Deterministic and Random 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
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| 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
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| 5 |
Free Vibration with Viscous Damping: Equation of Motion, Solution, Logarithmic Decrement, Energy Dissipated in Viscous Damping, Graphical Representation of Characteristic Roots and Corresponding Solutions
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| 6 |
Harmonically Excited Vibrations: Response of an Undamped System Under Harmonic Force, Response of a Damped System Under Harmonic Force, Response of a Damped System Under Rotating Unbalance, Forced Vibration with Coulomb Damping
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| 7 |
Computer aided solution of hamonically excited vibrations under damping
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| 8 |
Two-Degree-of-Freedom Systems: Equations of Motion for Forced Vibration, Free Vibration Analysis of an Undamped System, Forced-Vibration Analysis
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| 9 |
Midterm Exam (According to academical calender)
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| 10 |
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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| 11 |
Holzer’s Method: Torsional Systems, Spring-Mass Systems, Matrix Iteration Method: Convergence to the Highest Natural Frequency, Computation of Intermediate Natural Frequencies
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| 12 |
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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| 13 |
Potential and Kinetic Energy Expressions in Matrix Form, Generalized Coordinates and Generalized Forces, Using Lagrange s Equations to Derive Equations of Motion
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| 14 |
Computer aided solution of Multidegree of–Freedom systems
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