A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown inThe torsional stiffnesses of the two segments of the shaft are given by ka = 3,000 N-m/radand k2 = 4,000 N-m/rad. The turbine generates a harmonic torque given by M(t) = Mo coswt about the shaft axis with M, = 200 N-m and w = 500 rads. The mass moment of inertiaof the rotor about the shaft axis is Jo = 0.05 kg-m. Assuming the equivalent torsionaldamping constant of the system as c, = 2.5 N-m-s/rad, determine the steady-state responseof the rotor, 6(1).O(1)keM(1) = M, cos otTurbine rotor, Jo

Transient response: the response of the system due to free vibration is called the transient…

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(t) = Mo cos ot 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 J = 0.05 kg-m. 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). M(1) - Mo cos ot Turbine rotor, Jo

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(t) = Mo cos ot 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 J = 0.05 kg-m. 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). M(1) - Mo cos ot Turbine rotor, Jo

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.5.10P: The tensional pendulum shown in the figure consists of a horizontal circular disk of a mass M = 60...

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