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Mechanical Engineering
Mechanical Vibrations
Prof. Rajiv Tiwari,Prof. S.K. Dwivedy
Video
IIT Guwahati
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Overview of the Course, Practical and Research Trends
Harmonic and Periodic Motions, Vibration Terminology
Vibration Model, Equation of Motion-Natural Frequency
Energy Method, Principle of Virtual Work
Viscously Damped Free Vibration Special Cases: Oscillatory
Logarithmic Decrement Experimental Determination of Damping Coefficient Hystersis Loop
Coulomb Damping other Damping Models
Forced Harmonic Vibration, Magnification Factor
Laplace Transform, Superposition Theorem
Rotor Unbalance and Whirling of Shaft, Transmissibility
Support Motion, Vibration Isolation
Sharpness of Resonance, Vibration Measuring Instruments
Generalized and Principle Coordinates, Derivation of Equation of Motion
Lagranges's Equation
Coordinate Coupling
Forced Harmonic Vibration
Tuned Absorber, Determination of Mass Ratio
Tuned and Damped Absorber, Untuned Viscous Damper
Derivation of Equations of Motion, Influence Coefficient Method
Properties of Vibrating Systems: Flexibility & Stiffness Matrices, Reciprocity Theorem
Modal Analysis: Undamped
Modal Analysis: Damped
Simple Systems With One Two or Three Discs Geared System
Multi-Degree of Freedom Systems-Transfer Matrix Method Branched System
Derivation of Equations of Motion Part 1 - Newton
Derivation of Equations of Motion Part 2 - Newton
Vibration of Strings
Longitudinal and Torsional Vibration of Rods
Transverse Vibration of Beams, Equations of Motion and Boundary Conditions
Transverse Vibration of Beams: Natural Frequencies and Mode Shapes
Rayleigh's Energy Method
Matrix Iteration Method
Durkerley, Rayleigh-Ritz and Galerkin Method
Finite Element Formulation for Rods, Gear Train and Branched System
Finite Element Formulation for Beams: Galerkin
Global Finite Element Assembly and Imposition of Boundary Conditions
Vibration Testing Equipments: Signal Measurements
Vibration Testing Equipments: Signal Analysis
Field Balancing of Rotors
Condition Monitoring