Mechanical Vibrations Syllabus

Mechanical Vibrations Syllabus

  1. Introduction to Vibrations

    • Basic concepts and definitions
    • Types of vibrations: free, forced, damped, and undamped
    • Simple harmonic motion

  2. Single Degree of Freedom (SDOF) Systems

    • Free vibrations of SDOF systems
    • Damped vibrations
    • Forced vibrations
    • Resonance and its effects
    • Vibration isolation and transmissibility

  3. Multiple Degree of Freedom (MDOF) Systems

    • Equations of motion for MDOF systems
    • Natural frequencies and mode shapes
    • Modal analysis
    • Orthogonality of mode shapes
    • Forced vibrations of MDOF systems

  4. Continuous Systems

    • Vibrations of strings, rods, and beams
    • Wave equation and its solutions
    • Natural frequencies and mode shapes of continuous systems

  5. Vibration Measurement and Control

    • Vibration measuring instruments
    • Signal analysis
    • Vibration control methods
    • Dynamic vibration absorbers
    • Active and passive control techniques

  6. Nonlinear Vibrations

    • Introduction to nonlinear systems
    • Phase plane analysis
    • Stability of equilibrium points
    • Bifurcation and chaos

  7. Applications of Vibration Analysis

    • Vibration analysis in mechanical design
    • Condition monitoring and fault diagnosis
    • Vibration analysis in rotating machinery
    • Structural health monitoring

Laboratory Work

  • Experiments related to the above topics
  • Use of vibration measurement instruments
  • Data analysis and report writing

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