Abstract
The vibration characteristics of width-tapered Rayleigh beams with the clamped-free boundary condition is investigated, and subsequently used to analyze the effect of rotary inertia and taper ratio on the natural frequencies and mode shapes of the beams. The width of the cross-section is assumed to linearly reduce along the length of the beam. The frequency determinant is obtained by using the transfer matrix, and the differential equation is solved using the power series. The accuracy of the method is demonstrated by comparing the results obtained in this study with those obtained in the previous study. In addition, the effect of rotary inertia and taper ratio on the eigen-pairs of width-tapered Rayleigh beams with respect to the variation of the total length is investigated.
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