Coupled bending-bending vibrations of pre-twisted cantilever blading allowing for shear deflection and rotary inertia by the Reissner method

Abstract The Reissner method and the total potential energy approach are applied to a pre-twisted cantilever blade executing coupled bending-bending vibrations. Shear deflection and rotary intertia are accounted for in the analysis and the natural frequencies and mode shapes of the first four coupled modes are determined. A comparison of the results obtained from this investigation with those available in the literature indicates that the Reissner method gives quicker convergence and better mode shapes than the potential energy method and it is further seen that the inclusion of shear deflection and rotary inertia into the analysis leads to a reduction in the frequency values, thus resulting in a closer agreement with experimental results.

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