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 tonque given by M(1) Mo cos cot about the shaft axis with M, = 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-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, (1). ka M) Ma cos ef Turbine rotor, J

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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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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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
cat about the shaft axis with M, = 200 N-m and w = 500 rads. The mass moment of inertia
of the rotor about the shaft axis is = 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(1).
(1)
ka
M() = Ma cos of
%3D
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 hamonic torque given by M(1) = Mo cos cat about the shaft axis with M, = 200 N-m and w = 500 rads. The mass moment of inertia of the rotor about the shaft axis is = 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(1). (1) ka M() = Ma cos of %3D Turbine rotor, Jo
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