NPTEL : Mechanical Vibrations (Mechanical Engineering)

Co-ordinators : Prof. S.K. Dwivedy, Prof. Rajiv Tiwari


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