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Mechanical vibrations

Course Description: Fundamentals of mechanical vibrations, including free and forced vibrations of single-degree-of-freedom, multi-degree-of-freedom, and infinite-degree-of-freedom systems. Modal analysis and matrix formulation for vibration problems. Approximate solution techniques. Vibrations and modal analysis of continuous systems: beams, rods, and strings. Analytical and approximate numerical solutions using appropriate software such as MATLAB. Numerous examples and applications of vibration measurement and analysis, including vibration isolation, dynamic vibration absorbers, and rotating machinery. Laboratory experiments to illustrate the topics mentioned above.
Credit hours: 3
Prerequisites: ME 360
Objectives of the course :

Provide students with a comprehensive introduction to mechanical vibrations for single and multi-degree-of-freedom systems, including design experience and the development of writing skills. Utilize analytical and numerical methods to analyze the vibrational response of a structure subjected to various types of excitation, and the ability to simplify practical problems using mathematical modeling.

Course outputs :

Knowledge and understanding:
1.1 Derivation of mathematical models for simple vibration systems.
1.2 Evaluating the response of single-degree-of-freedom systems to periodic, transient, or base excitation.
1.3 Selection of vibration isolation systems and evaluation of damping effects.

Skills:
2.1 Definition of Vibration Theory and its Explanation.
2.2 Description of Vibration System Fundamentals and Their Different Types.
2.3 Solving problems related to damped and undamped vibrations, free vibrations, and forced vibrations.
2.4 Connecting ideas in a clear and logical manner.

Additional information:
  • Last updated: 2026-05-04

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