A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in The torsional stiffnesses of the two segments of the shaft are given by k - 3000 N-m/rad and k2 = 4,000 N-m/rad. The turbine generates a hamonic torque given by M(t) = Mo cos cot about the shaft axis with M, = 200 N-m and es = 500 rads. The mass moment of inertia of the rotor about the shaft axis is h = 0.05 kg-m. Assuming the equivalent torsional damping constant of the system as e, = 2.5 N-m-s/rad, determine the steady-state response of the rotor, 6(t). ka M) - Mo cos est Turbine rotor, Jo

Elements Of Electromagnetics
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A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in
The torsional stiffnesses of the two segments of the shaft are given by k = 3.000 N-m/rad
and k2 = 4,000 N-m/rad. The turbine generates a hamonic torque given by M(1) = Mo cos
ot about the shaft axis with Mg = 200 N-m and as = 500 rad/s. The mass moment of inertia
of the rotor about the shaft axis is h = 0.05 kg-m. Assuming the equivalent tosional
damping constant of the system as e, = 2.5 N-m-s/rad, determine the steady-state response
of the rotor, 6(1).
ka
M() = Ma cos e
Turbine rotor, Jo
A 50-kg turbine is mounted on four parallel springs, each of stiffness of 3 x 10° N/m
When the machine operates at 40 Hz. its steady-state amplitude is observed as 1.8 mm
What is the magnitude of the excitation?
Given m = 50 kg. k = 3x 10 Nm. e = 40 Hz. X= 1.8 mm
Find: Fe
Transcribed Image Text:A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in The torsional stiffnesses of the two segments of the shaft are given by k = 3.000 N-m/rad and k2 = 4,000 N-m/rad. The turbine generates a hamonic torque given by M(1) = Mo cos ot about the shaft axis with Mg = 200 N-m and as = 500 rad/s. The mass moment of inertia of the rotor about the shaft axis is h = 0.05 kg-m. Assuming the equivalent tosional damping constant of the system as e, = 2.5 N-m-s/rad, determine the steady-state response of the rotor, 6(1). ka M() = Ma cos e Turbine rotor, Jo A 50-kg turbine is mounted on four parallel springs, each of stiffness of 3 x 10° N/m When the machine operates at 40 Hz. its steady-state amplitude is observed as 1.8 mm What is the magnitude of the excitation? Given m = 50 kg. k = 3x 10 Nm. e = 40 Hz. X= 1.8 mm Find: Fe
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