Asymptotic analysis of the clamped-pinned elastica

• Autorzy: Singh P. , Goss V. G. A.
• 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.

Słowa kluczowe

EN

elastica; clamped-pinned; asymptotic; force-displacement; post-buckling

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2018
• Tom: Vol. 70, nr 4
• Strony: 317--336
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Singh P.

• School of Engineering London South Bank University London SE1 OAA, UK

autor

Goss V. G. A.

• School of Engineering London South Bank University London SE1 OAA, UK

Bibliografia

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• 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.
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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).