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Institute: Science and Technology
Department: Mechanical Engineering (ME)
Target public: second-year engineering ME
Course Title: wave and vibration
Credit: 3
Coefficient: 2
Duration: 13 weeks
Weekly timetable: Course 1h 30 min per week / Tutorials 1h 30 min per week/Practical work 3 hours
Place of teaching: Classroom 13 and 21
Teacher: BOUTEBAKH FATIMA ZOHRA
Contact: boutebakh.f@centre-univ-mila.dz
Evaluation methods: final exam 60% + Continuous evaluations 40%Responses by e-mail: Do not hesitate to contact me I will respond as soon as possible.
Teaching objectives
Introduce the student to the phenomena of mechanical vibrations restricted to low amplitude oscillations for 1 or 2 degrees of freedom as well as the study of the propagation of mechanical waves
Chapter I:Generalities on Vibrations
The oscillation of an item is the recurrent switching back and forth between two locations. It is often called periodic motion since it appears to return to itself constantly. For instance, an up-and-down motion caused by a spring's weight or a sine wave caused by a pendulum swinging from side to side
chapter II:Free undamped vibration with one degree of freedom
"Undamped" means that there are no energy losses with movement (whether intentional, by adding dampers, or unintentional, through drag or friction). An undamped system will vibrate forever without any additional applied forces. A simple pendulum has very low damping, and will swing for a long time before stopping
chapter III:Free damped vibration with one degree of freedom
In the real world, oscillations seldom follow true SHM. Friction of some sort usually acts to dampen the motion so it dies away, or needs more force to continue. In this section, we examine some examples of damped harmonic motion and see how to modify the equations of motion to describe this more general case.
- A guitar string stops oscillating a few seconds after being plucked. To keep swinging on a playground swing
FORCED VIBRATION WITH ONE DEGREE OF FREEDOM
Forced vibrations (oscillations) occur when the system is subjected along its vibrations to one of the periodic external forces. Often, these forces are called external excitations. The resulting motion is called the system's response to the external excitation