Maurice Tutor

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Category > Computer Science Posted 13 Jul 2017 My Price 7.00

aluminum shaft

Consider the aluminum shaft of Problem 6.32. Add a disk of inertia J0 to the free end of the shaft. Plot the torsional natural frequencies versus increasing the tip inertia J0 of a single-degree-of-freedom model and for the first natural frequency of the distributed-parameter model in the same plot. Are there any values of J0 for which the single-degree-of-freedom model gives the same frequency as the fully distributed model?

Problem 6.32

Calculate the first three natural frequencies of torsional vibration of a shaft of Figure 6.7 clamped at x = 0, if a disk of inertia J0 = 10 kg  m2 /rad is attached to the end of the shaft at x = l. Assume that l = 0.5 m, J = 5 m4 , G = 2.5 x 109 Pa, ρ = 2700 kg/m3 

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Maurice Tutor
(5)
Status NEW Posted 13 Jul 2017 09:07 PM My Price 7.00

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