Research Article

Optimum Tuning of a Gyroscopic Vibration Absorber Using Coupled Gyroscopes for Vibration Control of a Vertical Cantilever Beam

Table 1

Physical properties of the system.

SymbolNumerical valuesDescription

210 × 109 N/m2Young’s modulus
100 mmBeam thickness
150 mmBeam width
5 mLength of the beam
7850 kg/m3Density of the beam
2000 kgTip mass
0.2 m2Ratio of tip mass moment of inertia
400 kg⋅m2Tip mass moment of inertia
1.25 × 10−5 m4Geometrical moment of inertia of beam
9.81 m/s2Gravitational acceleration
0.015 m2Area of cross section of beam
 N⋅m⋅s/radDamping coefficient
 N⋅m/radStiffness of torsion spring
50 kgDisk mass of gyroscope
0.2 mRadius of disk
1 kg⋅m2Rotary inertia of disk
0.5 kg⋅m2Mass moment of inertia of disk
0–30000 rpmRotating speed of disk