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

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.18P: A stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed...

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