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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
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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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

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
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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