On the nonlifiear theory of beams with open thin sections

Placido Cicala

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

  • Volume: 81, Issue: 2, page 149-159
  • ISSN: 1120-6330

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 nonlifiear theory of beams with open thin sections." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 81.2 (1987): 149-159. <http://eudml.org/doc/287411>.

@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 Lincei. Matematica e Applicazioni},
keywords = {Thin-walled beams; Flexural buckling; Post-critical stability; post-critical stability; large deflections; asymptotic analysis; pure flexure},
language = {eng},
month = {6},
number = {2},
pages = {149-159},
publisher = {Accademia Nazionale dei Lincei},
title = {On the nonlifiear theory of beams with open thin sections},
url = {http://eudml.org/doc/287411},
volume = {81},
year = {1987},
}

TY - JOUR
AU - Cicala, Placido
TI - On the nonlifiear theory of beams with open thin sections
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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; post-critical stability; large deflections; asymptotic analysis; pure flexure
UR - http://eudml.org/doc/287411
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. Zbl0122.18702MR178635
  12. BALDACCI, R. (1970) - Scienza delle Costruzioni. U.T.E.T., Torino. 

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