“…Under the combined action of shear, centrifugal force, bending moment and torque, the shaft occurs bending and torsional coupled vibration, as shown in Fig.6b. Taking shaft i and rotor i as an example, this paper introduces the method of creating bending and torsional coupled vibration model of shaft-rotor[40,41,42,43].It is assumed that the shaft-rotor moves in simple harmonic motion at angular velocity Οn, and the deflection, rotation angle, torsion angle, shear, bending moment and torque of each section are taken as state variables, and shaft i and rotor i are isolated from shafting for separate analysis.Fig. 6c shows the kinematic model of shaft i, π πβ1 π
and πΊ πβ1 π
stand for the rotation center and mass center at the right section π πβ1 π
of the left end of shaft i in the coordinate system πππ, respectively; In the πππ plane, the deflection of the section is π¦ πβ1 π
and the rotation angle is π½ π¦ πβ1 π
; In the πππ plane, the deflection is π§ πβ1 π
, the rotation angle is π½ π§ πβ1…”