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41521 Advanced Vibration and Stability Analysis
Danish title: Videregående svingnings- og stabilitetslære
Language:  English    ECTS-creditpoints:  10, External examination.   
Type:  , course at phd level, open university
Program:  Mechanical Engineering
Class schedule:   F2
Even years only
Exam schedule:   No exam
Recommended semester:  7th - 9th semester
Scope and form:  Lectures, demos, problem solving, exercises, project work
Evaluation:  Approval of coursework/reports
Examination:  13-scale
Previous course:  (C7006 / 70306) + (C7009 / 70309)
Prerequisites:  70205 / 41512
No credit points with:  (C7006 / 70306) + (C7009 / 70309)
Aim:  Qualify participants to assess, formulate, classify, and solve various problems involving mechanical vibrations and stability. This includes employing advanced and current methods, following relevant scientific literature, and communicating with specialists within the field.
Contents:  Static and dynamic stability of pendulum systems, columns, beam columns, frames, rotors, and fluid-carrying tubes. General eigenvalue theory for mechanical vibration and stability problems. Discretization of continuous systems. Mechanical nonlinearities. Nonlinear oscillations and phenomena (e.g. super- and subharmonic resonance, internal resonance, modal interaction, saturation, amplitude jumps, multi-solutions). Post-critical analysis: perturbation methods and bifurcation theory, local geometrical theory, and model reduction. Chaos theory for mechanical systems. Effects of high-frequency excitation. Computer simulation.
Contact:  Jon Juel Thomsen, building 404, (+45) 4525 4294, jjt@mek.dtu.dk
Pauli Pedersen, building 404, (+45) 4525 4270, pp@mek.dtu.dk
Department: 041 Department of Mechanical Engineering
Keywords:  Vibrations, oscillations, stability, dynamics, nonlinear
Updated:  15-03-2001