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Fundamental Frequencies of Slender Beams Subject to Imposed Axial End Displacements

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Experimental and Applied Mechanics, Volume 6

Abstract

The dependence of the fundamental frequency on the axial load in slender beams subject to imposed axial end displacements was experimentally investigated. The considered specimens presented different geometrical imperfections (initial curvatures), and were tested in two different constraint conditions (hinged–hinged and hinged-clamped). The natural frequencies were extracted in both conditions of forced and free vibration, using an electromagnet and a laser displacement transducer. In addition, the responses observed during the experiments, for the hinged–hinged case, were reproduced by numerical simulations, obtaining a good agreement between numerical and experimental results.

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References

  1. Virgin LN (2007) Vibration of axially loaded structures. Cambridge University Press, New York

    Book  MATH  Google Scholar 

  2. Woinowsky-Krieger S (1950) The effect of an axial force on the vibration of hinged bars. J Appl Mech 17:35–36

    MATH  MathSciNet  Google Scholar 

  3. Burgreen D (1951) Free vibrations of a pin-ended column with constant distance between pin ends. J Appl Mech 18:135–139

    Google Scholar 

  4. Dickinson SM (1980) The lateral vibration of slightly bent slender beams subject to prescribed axial end displacement. J Sound Vib 68(4):507–514

    Article  MATH  Google Scholar 

  5. Kim CS, Dickinson SM (1986) The flexural vibration of slightly curved slender beams subject to axial end displacement. J Sound Vib 104(1):170–175

    Article  MATH  MathSciNet  Google Scholar 

  6. Yamaki N, Mori A (1980) Non-linear vibrations of a clamped beam with initial deflection and initial axial displacement. Part I: theory. J Sound Vib 71(3):333–346

    Article  MATH  Google Scholar 

  7. Ilanko S (1990) The vibration behaviour of initially imperfect simply supported beams subject to axial loading. J Sound Vib 142(2):355–359

    Article  Google Scholar 

  8. Carpinteri A, Malvano R, Manuello A, Piana G (2014) Fundamental frequency evolution in slender beams subjected to imposed axial displacements. J Sound Vib 333:2390–2403

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Correspondence to G. Piana .

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© 2015 The Society for Experimental Mechanics, Inc.

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Piana, G., Manuello, A., Malvano, R., Carpinteri, A. (2015). Fundamental Frequencies of Slender Beams Subject to Imposed Axial End Displacements. In: Sottos, N., Rowlands, R., Dannemann, K. (eds) Experimental and Applied Mechanics, Volume 6. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-06989-0_8

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  • DOI: https://doi.org/10.1007/978-3-319-06989-0_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06988-3

  • Online ISBN: 978-3-319-06989-0

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