Mechanical Vibrations
Mechanical Vibrations . Instructor: Prof. Rajiv Tiwari, Department of Mechanical Engineering, IIT Guwahati. This course discusses topics in mechanical vibrations: free and forced vibrations of single degree of freedom systems, free and forced vibrations of two-degree of freedom systems, free and forced vibrations of multi-degree of freedom systems, vibration absorbers, calculation of natural frequencies, torsional vibration, finite element analysis, and vibration testing equipments.
(from nptel.ac.in )

Overview of the Course
VIDEO

Lecture 01 - Overview of the Course, Practical and Research Trends
Lecture 02 - Harmonic and Periodic Motions, Vibration Terminology
Lecture 03 - Vibration Model, Equation of Motion - Natural Frequency
Lecture 04 - Energy Method, Principle of Virtual Work
Lecture 05 - Viscously Damped Free Vibration, Special Cases Oscillatory, Non-oscillatory and Critically Damped Motions
Lecture 06 - Logarithmic Decrement, Experimental Determination of Damping Coefficient, Hysteresis Loop
Lecture 07 - Coulomb Damping, Other Damping Models
Lecture 08 - Forced Harmonic Vibration (Single Degree of Freedom), Magnification Factor
Lecture 09 - 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 Principal Coordinates, Derivation of Equations of Motion
Lecture 14 - Lagrange's equation
Lecture 15 - Coordinate Coupling
Lecture 16 - Forced Harmonic Vibration (Two-Degree of Freedom)
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 and 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 System
Lecture 25 - Derivation of Equations of Motion: Newton's and Hamilton's Principles
Lecture 26 - Derivation of Equations of Motion: Newton's and Hamilton's Principles (cont.)
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 of Formulation for Rods, Gear Train and Branched System
Lecture 35 - Finite Element Formulation for Beams: Galerkin's Method
Lecture 36 - Global Finite Element Assembly and Imposition of Boundary Conditions
Lecture 37 - Vibration Testing Equipments: Signal Measurements
Lecture 38 - Vibration Testing Equipment: Signal Analysis
Lecture 39 - Field Balancing of Rotors
Lecture 40 - Condition Monitoring

References
Mechanical Vibrations
Instructor: Prof. Rajiv Tiwari, Department of Mechanical Engineering, IIT Guwahati. This course provides the fundamentals of mechanical vibrations.