436-439 Dynamics of Rotors

436-354 Mechanics 3 and 436-431 Mechanics 4 or equivalent

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 position, critical speeds and stability of motion of the rotor system; become familiar with the phenomena produced by the internal and external damping, the gyroscopic effect and lack of symmetry of the cross-section of rotors, non-linearity and anisotropy of supporting structures.

Topics covered include modelling of shafts, rigid and elastic elements, bearings 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 the internal and external damping; influence of the gyroscopic effect and rotor with non-circular cross-section; passive and active control of vibrations.

One end of semester 3-hour written examination (75%), together with one assignment not exceeding 1400 words (15%) and laboratory reports not exceeding 400 words each due throughout semester (10%).