The vibration of a rotating cantilever beam with a tip mass is studied with the configuration of the undeformed beam deviating from the radial direction at the clamped end. The equation of motion is formulated based on the Hamilton’s principle and then reduced to the form of a matrix eigenvalue problem for constant rotational speed of the hub. The results of numerical simulations are compared with results from various authors using finite element, Rayleigh-Ritz, and Myklestad methods. The variation of natural frequency with rotational speed of the hub is then presented for various combinations of hub radius, tip mass, and angle of deviation of the undeformed beam from the radial direction.

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