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Bending stresses due to vibration

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hi, this is rotor dynamics. A shaft supported by two ball bearings is under vibration due to misalignment of the shaft with the coupling. now i need to calculate the bending stresses in the shaft due to vibration. I was provided with the bending vibration data of the rotor system. [Vibration is being measured at the bearings, rpm of shaft and all dimension is known] . So, how to find the stresses of the shaft.?

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