436-406 Rotor Dynamics

436-354 Mechanics 3 and 436-431 Mechanics 4 or equivalents.

Upon completion students should be able to formulate mathematical models of machine sub-systems (shafts, bearings, rigid and elastic elements, foundations); be able to create a mathematical model of a complex rotor-bearing foundation system including the dynamic properties of its sub-systems, unbalanced forces, environmental excitation and accuracy of manufacturing; and be able to carry out analysis of the formulated mathematical models to assess equilibrium positions, critical speeds and stability of motion of the rotor system.

Topics covered include modelling of shafts, rigid and elastic elements, oil bearing and foundations; composition of mathematical model of rotor systems; condensation techniques; analysis: equilibrium position, response to the external excitation, free vibration, stability of equilibrium position; influence of internal and external damping; influence of the gyroscopic effect; and rotors with non-circular cross-sections.

One 2-hour examination (75%), assignments (15%) and reports (10%) not exceeding 15 pages including computations, diagrams, tables and computer output.