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Advanced Mechanical Vibration

Course Description: Formulation of vibration problems, free vibrations of single degree of freedom (SDOF) systems, forced harmonic vibrations of single degree of freedom (SDOF) systems, general periodic and non-periodic response, multi-degree of freedom systems, vibration control techniques, continuous systems, vibration measurement.
Credit hours: 3
Objectives of the course :

• Provide students with an understanding of the fundamental mathematical techniques necessary for advanced-level description and analysis of mechanical vibrations.
• Equip students with the ability to model, analyze, and solve vibration problems.
Provide students with knowledge related to vibration control techniques and the ability to apply these techniques.
• Teaching common vibration measurement techniques and equipping students with the ability to choose the correct technique for each situation.

Course outputs :
  • Understanding the characteristics of vibrating systems, including damping models.
  • Complex vector representation of vibration.
  • Discussion of using the Laplace transform and Fourier transform in vibration representation.
  • Description of Multiple Degree of Freedom (MDOF) models and continuous models for vibrating systems.
  • Technical Explanation of Exact and Approximate Solution Techniques for Vibration Problems.
  • Practicing the behavior of vibrating systems.
  • Applying mathematical models to real-world vibratory systems.
  • Solving vibration equations, using exact solutions, approximate techniques, and computational methods.
  • Review of vibration equation solutions.
  • Developing effective methods for vibration measurement and control.

 

Additional information:
  • Last updated: 2026-05-17

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