Exact solutions for the buckling and postbuckling of a shear-deformable cantilever subjected to a follower force-Reference-Cited by-同舟云学术

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Exact solutions for the buckling and postbuckling of a shear-deformable cantilever subjected to a follower force

Published:2019-08-09 Issue:11 Volume:230 Page:3889-3907
ISSN:0001-5970
Container-title:Acta Mechanica
language:en
Short-container-title:Acta Mech

Author:

Humer Alexander,Pechstein Astrid S.

Funder

Johannes Kepler University Linz

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Computational Mechanics

Link

http://link.springer.com/content/pdf/10.1007/s00707-019-02472-1.pdf

Reference32 articles.

1. Antman, S.S.: The theory of rods. In: Truesdell, C. (ed.) Handbuch der Physik, vol. VIa/2. Springer, Berlin (1972)

2. Antman, S.S., Rosenfeld, G.: Global behavior of buckled states of nonlinearly elastic rods. SIAM Rev. 20(3), 513–566 (1978)

3. Batista, M.: Large deflections of shear-deformable cantilever beam subject to a tip follower force. Int. J. Mech. Sci. 75, 388–395 (2013). https://doi.org/10.1016/j.ijmecsci.2013.08.006

4. Batista, M.: Analytical treatment of equilibrium configurations of cantilever under terminal loads using Jacobi elliptical functions. Int. J. Solids Struct. 51(13), 2308–2326 (2014). https://doi.org/10.1016/j.ijsolstr.2014.02.036

5. Batista, M.: Large deflection of cantilever rod pulled by cable. Appl. Math. Model. 39(10–11), 3175–3182 (2015). https://doi.org/10.1016/j.apm.2014.10.073

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