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Mechanical Vibrations (Fall 2010)

Course code : ME-MEV-U1
ECTS Credits : 5 Status : Optional
Placement : 6. semester Hours per week : 4
Length : 1 semester Teaching Language : English

Principal Content : 1) Vibrations of linear single-degree-of-freedom systems: Free and forced vibrations; viscous damped systems; vibration isolators.
2) Vibrations of linear two-degree-of-freedom systems: Equations of motion; free and forced vibrations; vibration absorbers; viscous damping.
3) Vibrations of continuous systems: Flexural, axial and torsional vibrations of strings, cables, bars and beams; whirling shafts; Dunkerley’s formula.
4) Finite Element Methods: Mass & stiffness matrices and equations of motion for bar and beam elements.

The LabView software “DAMA” will be used to generate computer simulations and animations in order to enhance the students’ understanding of the motion and vibration of mechanical systems.
Teaching method : The teaching is both project-oriented and problem-based, using realistic systems. There will be introductory and summing up lectures. Project work in small groups includes tutorial exercises, physical experiments and demonstrations, computer simulations, use of internet search engines and case studies. Each group should submit a report, which contains the project work and solutions of the assigned problems.
Required prequisites : Applied Mathematics 1 and Applied Mechanics 2.
Responsible teacher : Imad Abou-Hayt , iabo@dtu.dk