Data for: An analytical-numerical approach to vibration analysis of periodic Timoshenko beams

Published: 4 Jan 2019 | Version 1 | DOI: 10.17632/2s8wyzfhc9.1

Description of this data

The subject of this article is analysis of transverse vibrations of beams which geometric and material properties vary periodically along the longitudinal axis. The aim is to present averaged models that take into account the shear deformation and geometric non-linearity, and to analysand transverse vibrations of such beams in moderately large deflection range. As the theoretical foundations, we use Timoshenko beam theory with von Kármán-type non-linearity. This results in obtaining new differential equations with constant coefficients, some of which explicitly depend on the beam inhomogeneity period size. Then, a reasonably simplified model is proposed to describe the vibrations of the considered beams in the low frequency range. The differential equations are transformed into a system of algebraic equations according to the Galerkin method. The response of the beam to transverse harmonic load is investigated by means of a pseudo arc-length continuation scheme. Non-linear coupling between vibration modes and the possibility of superharmonic resonance occurrence are taken into account. As an example of application, few special cases of beam geometry and boundary conditions are examined and compared.

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This data is associated with the following publication:

An analytical-numerical approach to vibration analysis of periodic Timoshenko beams

Published in: Composite Structures

Latest version

  • Version 1

    2019-01-04

    Published: 2019-01-04

    DOI: 10.17632/2s8wyzfhc9.1

    Cite this dataset

    Domagalski, Łukasz; Świątek, Michał; Jędrysiak, Jarosław (2019), “Data for: An analytical-numerical approach to vibration analysis of periodic Timoshenko beams”, Mendeley Data, v1 http://dx.doi.org/10.17632/2s8wyzfhc9.1

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Structural Dynamics, Beam, Non-Linear Oscillations

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