Module 13 : Dynamic Balancing of Rotors

Lecture 4 : Influence Coefficient Methods for Flexible Rotors

Exercise 13.15 Choose a single answer from multiple choice answers          

(i) For the flexible continuous rotor balancing, theoretically how many planes are required to perfectly dynamically balance all possible modes (N is a finite number, and is equal to number of finite modes required to balance)

(ii) If the flexibility of bearings is high as compared to the rotor, which is operating around Nth critical speed, then the practical balancing method would be

(iii) For a turbojet impeller (which can be considered as rotating in a single plane) the method of balancing would be

(iv) For a couple balancing of a rigid rotor with angular tilt of f, the balancing force in each of the plane would be

where Ip and Id are polar and diametral mass moments of inertia of the rotor, L is the distance between balancing planes, and ω is the spin speed of the shaft.

(v) If the flexibility of bearings is low as compared to the rotor, which is operating around Nth critical speed, then the practical balancing method would be

(vi) The dynamic balancing of the rigid rotor requires

(vii) For a rigid rotor with distributed eccentricity, how many balancing planes would be required to dynamically balance it