On the nonlinear theory of beams with open thin sections

Placido Cicala

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1987)

  • Volume: 81, Issue: 2, page 149-159
  • ISSN: 0392-7881

Abstract

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Analysis of beam with thin open sections as cylindrical shells evidences restrictions of the Wagner-Vlasof theory: these mainly concern the fulfillment of end conditions. For the case of large deflections, the resultant equations from asymptotic analysis are presented. Their application to buckling under pure flexure shows various novel aspects. By a simple direct approach, investigation is pursued beyond the critical state: the buckled configuration turns out to be stable even for laxer constraints than usual in constructions.

How to cite

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Cicala, Placido. "On the nonlinear theory of beams with open thin sections." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 81.2 (1987): 149-159. <http://eudml.org/doc/289294>.

@article{Cicala1987,
abstract = {Analysis of beam with thin open sections as cylindrical shells evidences restrictions of the Wagner-Vlasof theory: these mainly concern the fulfillment of end conditions. For the case of large deflections, the resultant equations from asymptotic analysis are presented. Their application to buckling under pure flexure shows various novel aspects. By a simple direct approach, investigation is pursued beyond the critical state: the buckled configuration turns out to be stable even for laxer constraints than usual in constructions.},
author = {Cicala, Placido},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
keywords = {Thin-walled beams; Flexural buckling; Post-critical stability},
language = {eng},
month = {6},
number = {2},
pages = {149-159},
publisher = {Accademia Nazionale dei Lincei},
title = {On the nonlinear theory of beams with open thin sections},
url = {http://eudml.org/doc/289294},
volume = {81},
year = {1987},
}

TY - JOUR
AU - Cicala, Placido
TI - On the nonlinear theory of beams with open thin sections
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1987/6//
PB - Accademia Nazionale dei Lincei
VL - 81
IS - 2
SP - 149
EP - 159
AB - Analysis of beam with thin open sections as cylindrical shells evidences restrictions of the Wagner-Vlasof theory: these mainly concern the fulfillment of end conditions. For the case of large deflections, the resultant equations from asymptotic analysis are presented. Their application to buckling under pure flexure shows various novel aspects. By a simple direct approach, investigation is pursued beyond the critical state: the buckled configuration turns out to be stable even for laxer constraints than usual in constructions.
LA - eng
KW - Thin-walled beams; Flexural buckling; Post-critical stability
UR - http://eudml.org/doc/289294
ER -

References

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  1. CICALA, P. (1978) - Linear shell theories. An asymptotic approach. Levrotto and Bella, Torino. 
  2. CICALA, P. (1985) - Teoria non lineare delle verghe e delle travi elastiche. «Memorie Acc. d. Scienze Torino, Serie V», 9, 25-95. MR860887
  3. ECKHAUS, W. (1979) - Asymptotic analysis of singular perturbations. North Holland. Zbl0421.34057MR553107
  4. ALGOSTINO, F. (1982) - II corpo elastico elicoidale. Problemi bidimensionali. «Atti Acc. d. Scienze Torino», 116, 37-46. Zbl0595.73015MR926755
  5. GOBARAH, A.A. and TSO, W.K. (1971) - A non-linear thin-walled beam theory. «Int. J. mech. Sci.», 13, 1025-1038. Zbl0225.73040
  6. MOORE, D.B. (1986) - A non-linear theory for the behaviour of thin-walled sections subject to combined bending and torsion. «Thin-Walled Structures», 449-466. 
  7. LUNDGREN, H. (1951) - Cylindrical shells. Danish Tech. Press, Copenhagen. 
  8. TIMOSHENKO, S. (1936) - Theory of elastic stability. McGraw Hill, London. MR134026
  9. VLASOF, V.Z. (1961) - Thin-walled elastic beams. «Israeli. Progr. Sci. Translations», Jerusalem. 
  10. PIGNATARO, M., RIZZI, N. and LUONGO, A. (1983) - Stabilità, biforcazione e comportamento postcritico delle strutture elastiche, «E.S.A.», Roma. 
  11. PFLUGER, A. (1964) - Stabilitätsprobleme der Elastostatik. Springer, Berlin. MR178635
  12. BALDACCI, R. (1970) - Scienza delle Costruzioni. U.T.E.T., Torino. 

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