A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in the accompanying figure. The torsional stiffnesses of the two segments of the shaft are given by k = 3000Nm/rad and k2= 4000Nm/rad. The turbine generates a harmonic torque given by M(t) = Mocoswt about the shaft axis with Mo = 200Nm and w=500rad/s. The mass moment of inertia of the rotor about the shaft axis is Jo = 0.05kg/m². Assuming the equivalent torsional damping constant of the system as q = 2.5Nms/rad. Determine the steady-state response (t) of the rotor. Turbine retor, A (0) M)-M₂00
A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in the accompanying figure. The torsional stiffnesses of the two segments of the shaft are given by k = 3000Nm/rad and k2= 4000Nm/rad. The turbine generates a harmonic torque given by M(t) = Mocoswt about the shaft axis with Mo = 200Nm and w=500rad/s. The mass moment of inertia of the rotor about the shaft axis is Jo = 0.05kg/m². Assuming the equivalent torsional damping constant of the system as q = 2.5Nms/rad. Determine the steady-state response (t) of the rotor. Turbine retor, A (0) M)-M₂00
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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PLs see the attached file to see the question, pls solve the question with hand written notes and figure and if you can then by mat lab also
Transcribed Image Text:A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in the accompanying figure.
The torsional stiffnesses of the two segments of the shaft are given by kt₁ = 3000Nm/rad and
k+2 = 4000Nm/rad. The turbine generates a harmonic torque given by M (t) = Mocoswt about the shaft
axis with M₁ = 200Nm and w=500rad/s. The mass moment of inertia of the rotor about the shaft axis is
Jo = 0.05kg/m². Assuming the equivalent torsional damping constant of the system as c = 2.5Nms/rad.
Determine the steady-state response (t) of the rotor.
ka
Turbine rotor, Jo
ka
M(1) M₂00
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