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Course Description

Mechanical vibration is defined as the measurement of a periodic process of oscillations with respect to an equilibrium point.

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Course Syllabus
  • Mod-1 Lec-1 Overview of the Course, Practical and Research Trends
  • Mod-1 Lec-2 Harmonic and Periodic Motions, Vibration Terminology
  • Mod-3 Lec-1 Viscously Damped Free Vibration Special Cases: Oscillatory
  • Mod-2 Lec-2 Energy Method, Principle of Virtual Work
  • Mod-3 Lec-1 Viscously Damped Free Vibration Special Cases: Oscillatory
  • Mod-3 Lec-2 Logarithmic Decrement Experimental Determination of Damping Coefficient Hysteresis Loop
  • Mod-3 Lec-3 Coulomb Damping other Damping Models
  • Mod-4 Lec-1 Forced Harmonic Vibration, Magnification Factor
  • Mod-4 Lec-2 Laplace Transform, Superposition Theorem
  • Mod-4 Lec-3 Rotor Unbalance and Whirling of Shaft, Transmissibility
  • Mod-4 Lec-4 Support Motion, Vibration Isolation
  • Mod-4 Lec-5 Sharpness of Resonance, Vibration Measuring Instruments
  • Mod-5 Lec-1 Generalized and Principle Coordinates, Derivation of Equation of Motion
  • Mod-5 Lec-2 Lagranges's Equation
  • Mod-5 Lec-3 Coordinate Coupling
  • Mod-5 Lec-4 Forced Harmonic Vibration
  • Mod-6 Lec-1 Tuned Absorber, Determination of Mass Ratio
  • Mod-6 Lec-2 Tuned and Damped Absorber, Untuned Viscous Damper
  • Mod-7 Lec-1 Derivation of Equations of Motion, Influence Coefficient Method
  • Mod-7 Lec-2 Properties of Vibrating Systems: Flexibility & Stiffness Matrices, Reciprocity Theorem
  • Mod-7 Lec-3 Modal Analysis: Undamped
  • Mod-7 Lec-4 Modal Analysis: Damped
  • Mod-8 Lec-1 Simple Systems With One Two or Three Discs Geared System
  • Mod-8 Lec-2 Multi-Degree of Freedom Systems-Transfer Matrix Method Branched System
  • Mod-9 Lec-1 Derivation of Equations of Motion Part 1-Newton's and Hamilton's Principle
  • Mod-9 Lec-2 Derivation of Equations of Motion Part 2-Newton's and Hamilton's Principle
  • Mod-9 Lec-3 Vibration of Strings
  • Mod-9 Lec-4 Longitudinal and Torsional Vibration of Rods
  • Mod-9 Lec-5 Transverse Vibration of Beams, Equations of Motion and Boundary Conditions
  • Mod-9 Lec-6 Transverse Vibration of Beams: Natural Frequencies and Mode Shapes
  • Mod-10 Lec-1 Rayleigh's Energy Method
  • Mod-10 Lec-2 Matrix Iteration Method
  • Mod-10 Lec-3 Durkerley, Rayleigh-Ritz and Galerkin Method
  • Mod-11 Lec-1 Finite Element Formulation for Rods, Gear Train and Branched System
  • Mod-11 Lec-2 Finite Element Formulation for Beams: Galerkin's Method
  • Mod-11 Lec-3 Global Finite Element Assembly and Imposition of Boundary Conditions
  • Mod-12 Lec-1 Vibration Testing Equipments: Signal Measurements
  • Mod-12 Lec-2 Vibration Testing Equipments: Signal Analysis
  • Mod-12 Lec-3 Field Balancing of Rotors
  • Mod-12 Lec-4 Condition Monitoring

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