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index - ME 863 Nonlinear Oscillations Spring 2008...

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ME 863: Nonlinear Oscillations Spring 2008 INSTRUCTOR: Brian Feeny 2328-C EB, 353-9451, 353-1750 fax [email protected] MAIN REFERENCES: There is no required text. However, we will follow the references below. Lecture Notes on Nonlinear Vibrations R. H. Rand, 2005 Nonlinear Oscillations A. H. Nayfeh and D. T. Mook Wiley-Interscience, 1979 GRADING: 50% Homework 25% Midterm exam 25% Final Exam, Monday, April 28 , 3-5 p.m. LECTURE: 2:40-4:00 Tu Th, 1230 EB OFFICE HOURS: after class CONTENT: The course presents nonlinear oscillation phenomena, and simultaneously introduces nonlinear analysis methods that are useful in describing and understanding these phenomena. PHENOMENA (See the course outline ): Local stability Frequency dependent on amplitude Limit cycles, relaxation oscillations, stick-slip Forced Vibration nonlinear resonance jump phenomena primary and secondary resonances Parametric excitation Internal resonance in multi-degree-of-freedom systems METHODS: Linearization Qualitative methods--phase portraits, Poincaré-Bendixson Perturbations--Linstedt's method, multiple scales or two-variable expansion, averaging Harmonic balance Floquet theory POLICIES:
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Homework: Talk to anybody. Refer to any book. Write your own solutions, and cite your references.
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  • Spring '09
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  • Resonator, Nonlinear Oscillations Spring, nonlinear oscillation phenomena, Nonlinear Oscillations A., Tacoma Narrows Bridge Tacoma

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