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 k,2 = 4,000 N-m/rad. The turbine generates a harmonic torque given by M(1) = Mo cos wt about the shaft axis with Mo = 200 N-m and w = 500 rad/s. The mass moment of inertia of the rotor about the shaft axis is Jo = 0.05 kg-m². Assuming the equivalent torsional damping constant of the system as c, = 2.5 N-m-s/rad, determine the steady-state response of the rotor, 0(1). %3D %3D 0(1) ka k2 M(1) = Mo cos wt %3D Turbine rotor, Jo

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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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 harmonic torque given by M(t) = Mo cos
wt about the shaft axis with Mo = 200 N-m and w = 500 rad/s. The mass moment of inertia
of the rotor about the shaft axis is Jo = 0.05 kg-m². Assuming the equivalent torsional
damping constant of the system as c, = 2.5 N-m-s/rad, determine the steady-state response
of the rotor, 6(1).
%3D
0(1)
k2
M(1) = Mo cos wt
Turbine rotor, Jo
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 harmonic torque given by M(t) = Mo cos wt about the shaft axis with Mo = 200 N-m and w = 500 rad/s. The mass moment of inertia of the rotor about the shaft axis is Jo = 0.05 kg-m². Assuming the equivalent torsional damping constant of the system as c, = 2.5 N-m-s/rad, determine the steady-state response of the rotor, 6(1). %3D 0(1) k2 M(1) = Mo cos wt Turbine rotor, Jo
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