ME 6201: Advanced Topics in Vibration

The course presents advanced topics in vibrations of machines and structures: dynamic stability analysis for linear nonconservative systems with applications to aeroelasticity and rotordynamics such as whirling of shafts with internal energy dissipation; introduction into theory of nonlinear and parametric vibrations in machines and structures; probabilistic approach in dynamics - analysis of random vibrations with applications to reliability evaluation in earthquake engineering, offshore engineering, etc. Use of random vibration analyses is illustrated for online condition monitoring for machines and structures (mechanical signature analysis), such as detecting instability and evaluating stability margin for a nonconservative system from its online measured signal. Introduction into general vibration theory makes the course self-contained (background in ME 522 preferable but not necessary). Students cannot receive credit for this course if they have taken the Special Topics (ME 593B) version of the same course.