Exercise Problems

Exercise 11.1 Define the following terms: Instability in a rotor, and the threshold of the instability; Role of the viscous damping during the hysteretic damping instability.

Exercise 11.2 The potential energy and kinetic energies of the shaft is given as

In the above kinetic energy expression the first term is due to translatory motion, the second and third is due to rotary inertia and gyroscopic effects. Obtain the governing equation of motion using Hamilton's principle.

Exercise 11.3 Obtain stability conditions for pure titling motion of a rigid long rotor supported by bearings at ends. [ Hint : Refer section 11.2, in which stability conditions for pure translational motions have been derived].

Exercise 11.4 Choose a single answer from multiple choice answers