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Vibration and stability of rotating annular disks composed of different materials

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Abstract

Transverse vibrations of a rotating annular disk composed of two annular disks of different materials are studied in this paper. The   disk is clamped at the inner edge, while at the outer edge is free. Differential equations of small vibrations are solved exactly by series expansion using the Frobenius method. The solutions are separately presented for three cases corresponding to vibration with zero, one or two nodal diameters. The influence of angular velocity, moduli of elasticity and the volume densities of the materials of disks on vibration frequency is analyzed. Vibration frequencies are obtained for the disk composed of aluminum and steel. Influences of the inner radius and the radius of the connection on the vibration frequencies are also obtained.

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Authors and Affiliations

  1. Faculty of Technical Sciences, University of Novi Sad, POB 55, 21121, Novi Sad, Serbia

    R. Maretic & V. Glavardanov

  2. Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120, Belgrade 35, Serbia

    V. Milosevic-Mitic

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  1. R. Maretic
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  2. V. Glavardanov
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  3. V. Milosevic-Mitic
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Correspondence to R. Maretic.

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Maretic, R., Glavardanov, V. & Milosevic-Mitic, V. Vibration and stability of rotating annular disks composed of different materials. Arch Appl Mech 85, 117–131 (2015). https://doi.org/10.1007/s00419-014-0903-5

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  • DOI: https://doi.org/10.1007/s00419-014-0903-5

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