A water turbine of mass 1000 kg and mass moment of inertia 500 kg-m² is mounted on a steel shaft, as shown in Fig. 2.126. The operational speed of the turbine is 2400 rpm. Assuming the ends of the shaft to be fixed, find the values of I, a, and d, such that the natural frequency of vibration of the turbine in each of the axial, transverse, and circumferential directions is greater than the operational speed of the turbine. d. FIGURE 2.126 Water turbine on a shaft.
A water turbine of mass 1000 kg and mass moment of inertia 500 kg-m² is mounted on a steel shaft, as shown in Fig. 2.126. The operational speed of the turbine is 2400 rpm. Assuming the ends of the shaft to be fixed, find the values of I, a, and d, such that the natural frequency of vibration of the turbine in each of the axial, transverse, and circumferential directions is greater than the operational speed of the turbine. d. FIGURE 2.126 Water turbine on a shaft.
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Transcribed Image Text:A water turbine of mass 1000 kg and mass moment of inertia 500 kg-m² is mounted on a steel
shaft, as shown in Fig. 2.126. The operational speed of the turbine is 2400 rpm. Assuming
the ends of the shaft to be fixed, find the values of I, a, and d, such that the natural frequency
of vibration of the turbine in each of the axial, transverse, and circumferential directions is
greater than the operational speed of the turbine.
p-
FIGURE 2.126 Water turbine on a shaft.
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