Bending vibration of rotor model

 

Figure 1  A rotating blade

 

RecurDyn allows performing the eigenvalue analysis in time domain. The system characteristics of a rotating blade differ from those of the blade in a static state due to the geometric stiffening effect.

The rotating blade shown in Figure 1 is modeled with 21 lumped masses, 20 beam force elements and one revolute joint. The material properties of the rotor are shown in Table 1.

 

Length

6800 m

Mass

200 Kg

Young’s modulus

7x108 N/mm2

Inertia of area

4 x 105 mm4

Shear modulus

6 x 108 mm4

Area

2000 mm2

Damping ratio

0.0

Table 1 The material properties and geometric entity conditions of rotor 

 

The following driving constraint is imposed on the revolute joint:

 

img74.gif                 (1)

 

The natural frequencies of the rotor as the speed increases are shown in Figure 2. As the angular speed increases, the natural frequencies of each mode become large. The eigenvalue changes are very similar these in literatures.

 

Figure 2  The angular speed and eigenvalue change