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Large deflections of non-prismatic nonlinearly elastic cantilever beams subjected to non-uniform continuous load and a concentrated load at the free end

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Abstract

This work studies large deflections of slender, non-prismatic cantilever beams subjected to a combined loading which consists of a non-uniformly distributed continuous load and a concentrated load at the free end of the beam. The material of the cantilever is assumed to be nonlinearly elastic. Different nonlinear relations between stress and strain in tensile and compressive domain are considered. The accuracy of numerical solutions is evaluated by comparing them with results from previous studies and with a laboratory experiment.

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References

  1. Lee, K. W.: Large deflections of cantilever beams of nonlinear elastic material under a combined loading. Int J Nonlinear Mech 37, 439–443 (2002)

    Article  MATH  Google Scholar 

  2. Eren, I.: Determining large deflections in rectangular combined loaded cantilever beams made of non-linear Ludwick type material by means of different arc length assumptions. Sadhana 33, 45–55 (2008)

    Article  MATH  Google Scholar 

  3. Baykara, C., Guven, U., Bayer, I.: Large deflections of a cantilever beam of nonlinear bimodulus material subjected to an end moment. J Reinf Plast Comp 24, 1321–1326 (2005)

    Article  Google Scholar 

  4. Brojan, M., Videnic, T., Kosel, F.: Non-prismatic non-linearly elastic cantilever beams subjected to an end moment. J Reinf Plast Comp 26, 1071–1082 (2007)

    Article  Google Scholar 

  5. Shatnawi, A.S., Al-Sadder, S.: Exact large deflection analysis of nonprismatic cantilever beams of nonlinear bimodulus material subjected to tip moment. J Reinf Plast Comp 26, 1253–1268 (2007)

    Article  Google Scholar 

  6. Jung, J.H., Kang, T.J.: Large deflection analysis of fibers with nonlinear elastic properties. Text Res J 75, 715–723 (2005)

    Article  Google Scholar 

  7. Brojan, M., Videnic, T., Kosel, F.: Large deflections of nonlinearly elastic non-prismatic cantilever beams made from materials obeying the generalized Ludwick constitutive law. Meccanica 44, 733–739 (2009)

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Laboratory for Nonlinear Mechanics, Faculty of Mechanical Engineering, University of Ljubljana, Askerceva 6, SI-1000, Ljubljana, Slovenia

    Miha Brojan, Matjaz Cebron & Franc Kosel

Authors
  1. Miha Brojan
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  2. Matjaz Cebron
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  3. Franc Kosel
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Correspondence to Miha Brojan.

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Brojan, M., Cebron, M. & Kosel, F. Large deflections of non-prismatic nonlinearly elastic cantilever beams subjected to non-uniform continuous load and a concentrated load at the free end. Acta Mech Sin 28, 863–869 (2012). https://doi.org/10.1007/s10409-012-0053-3

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  • DOI: https://doi.org/10.1007/s10409-012-0053-3

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