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Asymptotic analysis of the clamped-pinned elastica

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Języki publikacji
EN
Abstrakty
EN
Asymptotic solutions for the clamped-pinned elastica when the displacement of the pinned end is small (immediately after buckling) and when it approaches its limiting displacement (when the force in the rod tends to infinity) are presented. Simple leading order relationships describing the force as a function of the pinned end’s displacement are derived. Those approximate the force-displacement behaviour of the clamped-pinned elastica for small and limiting end displacements. All our results are valid for the clamped-pinned elastica in any mode.
Rocznik
Strony
317--336
Opis fizyczny
Bibliogr. 11 poz., rys.
Twórcy
autor
  • School of Engineering London South Bank University London SE1 OAA, UK
  • School of Engineering London South Bank University London SE1 OAA, UK
Bibliografia
  • 1. Y. Mikata, Complete solution of elastica for a clamped-hinged beam, and its applications to a carbon nanotube, Acta Mechanica, 190, 1, 133–150, 2007.
  • 2. P. Singh, V.G.A. Goss, Critical Points of the Clamped-Pinned Elastica, submitted, 2017.
  • 3. D. Bigoni, F. Bosi, D. Misseroni, F. Dal Corso, G. Noselli, New phenomena in nonlinear elastic structures: from tensile buckling to configurational forces, [in:] D. Bigoni [ed.], Extremely Deformable Structures, Springer, Vienna, pp. 55–135, 2015.
  • 4. C.Y. Wang, Post-buckling of a clamped-simply supported elastica, International Journal of Non-Linear Mechanics, 32, 6, 1115–1122, 1997.
  • 5. S.P. Timoshenko, J.M. Gere, Theory of Elastic Stability, McGraw-Hill, New York, 1961.
  • 6. W.T. Koiter, On The Stability of Elastic Equilibrium, (a translation of a doctoral dissertation, Techische Hooge School, Delft, 1945), Technical Report AFFDL-TR-70-25,Wright-Patterson Air Force Base, Ohio, 1970.
  • 7. A.M.A. van der Heijden, W.T. Koiter’s Elastic Stability of Solids and Structures, Cambridge University Press, Cambridge, 2012.
  • 8. C.L. Dym, Stability Theory and Its Application to Structural Mechanics, Noordhoff International Publishing, The Netherlands, 1974.
  • 9. I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series, and Products, 7th ed., Elsevier Academic Press, San Diego, 2007.
  • 10. J. Coyne, Analysis of the formation and elimination of loops in twisted cable, IEEE Journal of Oceanic Engineering, 15, 72–83, 1990.
  • 11. M. Kaneko, N. Kanayama, T. Tsuji, Active antenna for contact sensing, IEEE Transactions on Robotics and Automation, 14, 2, 278–291, 1998.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0ade15d8-94c4-49b2-839d-c70cacded745
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