Module 6 : Torsional Vibrations of Rotors: The Direct and Transfer Matrix Methods

Lecture 4 :TMM for Branched Systems

Natural frequencies of two mass rotor system are given as

A factor 9.81 is used since  is in Nm2 and we need in kgm2.

Figure 6.39 Equivalent two mass rotor geared system

The node location can be obtained as

which gives

The stiffness of shaft length equal to will be (equivalent stiffness corresponding to shaft A speed)

The shaft stiffness corresponding to shaft B speed can be defined in two ways i.e.

On equating above equations the location of the node in the actual system from disc B can be obtained as

which is same as by previous method.