Dynamics of Machines

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DYNAMICS OF MACHINES 2734703
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Code: 2734703 Credits: 5 Semester 3 M

Dynamics of Machines

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Dynamics of Machines Syllabus — Unit-wise Content

The official GTU curriculum for Dynamics of Machines (subject code 2734703) as prescribed for M · Semester 3 divides the course into 8 units, covering 40 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.

Download the official syllabus PDF (2734703)

Unit 1 Fundamentals of mechanical vibrations

3 lecture hours

  • Sources of vibration
  • Free Vibration
  • Forced vibration
  • Simple harmonic motion
  • Campbell diagram
  • Fourier analysis

Unit 2 Single degree of freedom system-Free Vibrations

5 lecture hours

  • Natural frequency
  • Equivalent system
  • Energy method
  • Response to an initial disturbance
  • Phase plane method
  • Duhamel’s integral
  • Stiffness modeling
  • Non linear stiffness

Unit 3 Single degree of freedom system-Damped vibrations

5 lecture hours

  • Damped models
  • single degree of freedom system with viscous damping
  • Logarithmic decrement
  • General excitation- Duhamel’s integral

Unit 4 Single degree of freedom system-Forced Vibrations

5 lecture hours

  • Harmonic excitation
  • Mechanical Impedance
  • System identification from frequency response

Unit 5 Two Degree of Freedom Systems

5 lecture hours

  • Free vibration of spring coupled system
  • Two degrees of freedom mass coupled systems
  • Forced vibrations of undamped system
  • Undamped vibration absorbers
  • Forced damped vibrations
  • Vibration Isolation

Unit 6 Multi degree of freedom systems

8 lecture hours

  • Closed couple systems
  • Far coupled systems
  • Orthogonality of mode shapes
  • Modal analysis
  • Forced vibration
  • Using Lagrange’s equation to derive equation of motion

Unit 7 Numerical methods

6 lecture hours

  • Approximate methods for fundamental frequency
  • Dunkerley’s lower bound approximation
  • Rayleigh’s upper bound approximation
  • Matrix method

Unit 8 Continuous systems

6 lecture hours

  • System governed by wave equation
  • solution of wave equation for free and forced vibrations
  • Free and forced vibration of beams

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