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Last updated:

September 23, 2023

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FREE

This course includes:

Unlimited Duration

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Description

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)

Course Curriculum

  • Lecture 01 – Overview of the Course, Practical and Research Trends Unlimited
  • Lecture 02 – Harmonic and Periodic Motions, Vibration Terminology Unlimited
  • Lecture 03 – Vibration Model, Equation of Motion – Natural Frequency Unlimited
  • Lecture 04 – Energy Method, Principle of Virtual Work Unlimited
  • Lecture 05 – Viscously Damped Free Vibration, Special Cases Oscillatory, Non-oscillatory and … Unlimited
  • Lecture 06 – Logarithmic Decrement, Experimental Determination of Damping Coefficient Unlimited
  • Lecture 07 – Coulomb Damping, Other Damping Models Unlimited
  • Lecture 08 – Forced Harmonic Vibration (Single Degree of Freedom), Magnification Factor Unlimited
  • Lecture 09 – Laplace Transform, Superposition Theorem Unlimited
  • Lecture 10 – Rotor Unbalance and Whirling of Shaft, Transmissibility Unlimited
  • Lecture 11 – Support Motion, Vibration Isolation Unlimited
  • Lecture 12 – Sharpness of Resonance, Vibration Measuring Instruments Unlimited
  • Lecture 13 – Generalized and Principal Coordinates, Derivation of Equations of Motion Unlimited
  • Lecture 14 – Lagrange’s equation Unlimited
  • Lecture 15 – Coordinate Coupling Unlimited
  • Lecture 16 – Forced Harmonic Vibration (Two-Degree of Freedom) Unlimited
  • Lecture 17 – Tuned Absorber, Determination of Mass Ratio Unlimited
  • Lecture 18 – Tuned and Damped Absorber, Untuned Viscous Damper Unlimited
  • Lecture 19 – Derivation of Equations of Motion, Influence Coefficient Method Unlimited
  • Lecture 20 – Properties of Vibrating Systems: Flexibility and Stiffness Matrices Unlimited
  • Lecture 21 – Modal Analysis: Undamped Unlimited
  • Lecture 22 – Modal Analysis: Damped Unlimited
  • Lecture 23 – Simple Systems with One, Two or Three Discs, Geared System Unlimited
  • Lecture 24 – Multi-degree of Freedom Systems – Transfer Matrix Method, Branched System Unlimited
  • Lecture 25 – Derivation of Equations of Motion: Newton’s and Hamilton’s Principles Unlimited
  • Lecture 26 – Derivation of Equations of Motion: Newton’s and Hamilton’s Principles (cont.) Unlimited
  • Lecture 27 – Vibration of Strings Unlimited
  • Lecture 28 – Longitudinal and Torsional Vibration of Rods Unlimited
  • Lecture 29 – Transverse Vibration of Beams: Equations of Motion and Boundary Conditions Unlimited
  • Lecture 30 – Transverse Vibration of Beams: Natural Frequencies and Mode Shapes Unlimited
  • Lecture 31 – Rayleigh’s Energy Method Unlimited
  • Lecture 32 – Matrix Iteration Method Unlimited
  • Lecture 33 – Durkerley, Rayleigh-Ritz and Galerkin Method Unlimited
  • Lecture 34 – Finite Element of Formulation for Rods, Gear Train and Branched System Unlimited
  • Lecture 35 – Finite Element Formulation for Beams: Galerkin’s Method Unlimited
  • Lecture 36 – Global Finite Element Assembly and Imposition of Boundary Conditions Unlimited
  • Lecture 37 – Vibration Testing Equipments: Signal Measurements Unlimited
  • Lecture 38 – Vibration Testing Equipment: Signal Analysis Unlimited
  • Lecture 39 – Field Balancing of Rotors Unlimited
  • Lecture 40 – Condition Monitoring Unlimited

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