where m, c, and k are the mass, the viscous damping coefficient,
and the shaft-stiffness coefficient, respectively. [aX,
aZ] is the vector from P to G, expressed in the stationary
coordinate system. φ is the rotating angle of the rotor. For a
constant rotating speed, φ is zero. Although the planar rotor
is a very simple rotor model, it can be used to study the basic
phenomena in rotor dynamics such as critical speed, the
effect of damping, and so on.
The planar rotor model is a special case of the Jeffcott
model that was first introduced in 1919. In the Jeffcott
where m, c, and k are the mass, the viscous damping coefficient,and the shaft-stiffness coefficient, respectively. [aX,aZ] is the vector from P to G, expressed in the stationarycoordinate system. φ is the rotating angle of the rotor. For aconstant rotating speed, φ is zero. Although the planar rotoris a very simple rotor model, it can be used to study the basicphenomena in rotor dynamics such as critical speed, theeffect of damping, and so on.The planar rotor model is a special case of the Jeffcottmodel that was first introduced in 1919. In the Jeffcott
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