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The Effects of Rotary Inertia and Transverse Shear on Vibrations and Stability of the System of Elastically Connected Reddy-Bickford Beams on Elastic Foundation

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Vibrations and Stability of Complex Beam Systems

Part of the book series: Springer Tracts in Mechanical Engineering ((STME))

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Abstract

Chapters 6 analyzed free vibration of the multiple elastically connected beam system of Reddy-Bickford’s type on an elastic foundation under the influence of axial forces with the comparison of the frequency and stability theoretical research for all four types of the beam’s theory. Analytical solutions for the natural frequencies and the critical buckling forces are determined by the trigonometric method and verified numerically as in case in the previous chapter. In the case of the Reddy-Bickford’s model, it is shown that the natural frequency provides the best solution approximation.

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Correspondence to Vladimir Stojanović .

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Stojanović, V., Kozić, P. (2015). The Effects of Rotary Inertia and Transverse Shear on Vibrations and Stability of the System of Elastically Connected Reddy-Bickford Beams on Elastic Foundation. In: Vibrations and Stability of Complex Beam Systems. Springer Tracts in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-13767-4_6

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  • DOI: https://doi.org/10.1007/978-3-319-13767-4_6

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-13766-7

  • Online ISBN: 978-3-319-13767-4

  • eBook Packages: EngineeringEngineering (R0)

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