Mechanical Vibrations


Lecture 1 - Overview of the Course, Practical and Research Trends


Lecture 2 - Harmonic and Periodic Motions, Vibration Terminology


Lecture 3 - Vibration Model, Equation of Motion-Natural Frequency


Lecture 4 - Energy Method, Principle of Virtual Work


Lecture 5 - Viscously Damped Free Vibration Special Cases: Oscillatory


Lecture 6 - Logarithmic Decrement Experimental Determination of Damping Coefficient Hystersis Loop


Lecture 7 - Coulomb Damping other Damping Models


Lecture 8 - Forced Harmonic Vibration, Magnification Factor


Lecture 9 - Laplace Transform, Superposition Theorem


Lecture 10 - Rotor Unbalance and Whirling of Shaft, Transmissibility


Lecture 11 - Support Motion, Vibration Isolation


Lecture 12 - Sharpness of Resonance, Vibration Measuring Instruments


Lecture 13 - Generalized and Principle Coordinates, Derivation of Equation of Motion


Lecture 14 - Lagranges's Equation


Lecture 15 - Coordinate Coupling


Lecture 16 - Forced Harmonic Vibration


Lecture 17 - Tuned Absorber, Determination of Mass Ratio


Lecture 18 - Tuned and Damped Absorber, Untuned Viscous Damper


Lecture 19 - Derivation of Equations of Motion, Influence Coefficient Method


Lecture 20 - Properties of Vibrating Systems: Flexibility & Stiffness Matrices, Reciprocity Theorem


Lecture 21 - Modal Analysis: Undamped


Lecture 22 - Modal Analysis: Damped


Lecture 23 - Simple Systems With One Two or Three Discs Geared System


Lecture 24 - Multi-Degree of Freedom Systems-Transfer Matrix Method Branched Systems


Lecture 25 - Derivation of Equations of Motion Part 1 - Newton


Lecture 26 - Derivation of Equations of Motion Part 2 - Newton


Lecture 27 - Vibration of Strings


Lecture 28 - Longitudinal and Torsional Vibration of Rods


Lecture 29 - Transverse Vibration of Beams, Equations of Motion and Boundary Conditions


Lecture 30 - Transverse Vibration of Beams: Natural Frequencies and Mode Shapes


Lecture 31 - Rayleigh's Energy Method


Lecture 32 - Matrix Iteration Method


Lecture 33 - Durkerley, Rayleigh-Ritz and Galerkin Method


Lecture 34 - Finite Element Formulation for Rods, Gear Train and Branched System


Lecture 35 - Finite Element Formulation for Beams: Galerkin


Lecture 36 - Global Finite Element Assembly and Imposition of Boundary Conditions


Lecture 37 - Vibration Testing Equipments: Signal Measurements


Lecture 38 - Vibration Testing Equipments: Signal Analysis


Lecture 39 - Field Balancing of Rotors


Lecture 40 - Condition Monitoring