2020
DOI: 10.1007/s40430-020-02697-5
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Free vibration analysis of tapered Rayleigh beams using the transfer matrix method

Abstract: In this study, an exact transfer matrix method is developed to analyze the effect of rotatory inertia and tapering on the free vibration characteristics of tapered Rayleigh beams. The beam model developed addresses practical cross sections, including single-tapered and double-tapered beams. The governing differential equation is solved using the Frobenius method for power series solutions, and then, the transfer matrix is formulated to transform the state vectors defined from the displacements, bending moment,… Show more

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Cited by 8 publications
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References 38 publications
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