Abstract
A simple and accurate numerical scheme is used for the determination of critical loads of tapered cantilever columns subjected to a tip concentrated subtangential follower force. Three types of variation of taper are considered and the critical loads are presented for various values of the subtangential parameter.
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Beck, M.: Die Knicklast des einseitig eingespannten, tangential gedrückten Stabes. ZAMP Vol. 3 (1952) pp. 225/28.
Dejneko, K.S., a.M.J. Leonov: The dynamic method of investigating the stability of a bar in compression. Prikladnaya Matematika i Mekhanika (PMM) Vol. 19 (1955) pp. 738/44.
Leipholz, H.: Anwendung des Galerkinschen Verfahrens auf nichtkonservative Stabilitätsprobleme des elastischen Stabes. ZAMP Vol. 13 (1962) pp. 359/72.
Bolotin, V.V.: Nonconservative problems of the theory of elastic stability. London: Pergamon Press 1963.
Leipholz, H.: Stability theory. New York: Academic Press 1970.
Barsoum, R.S.: Finite element method applied to the problem of stability of a nonconservative system. Int. J. Num. Meth. Engng. Vol. 3 (1971) pp. 63/87.
Kikuchi, F.: A finite element method for non-self adjoint problems. Int. J. Num. Meth. Engng. Vol. 6 (1973) pp. 39/54.
Venkateswara Rao, G., a.R.V. Narasimha Rao: Galerkin finite element solution for the stability of cantilever columns subjected to tangential loads. AIAAJ Vol. 13 (1975) pp. 690/91.
Massey, C., a.A.T. Vander Meen: Errata on stability of nonprismatic cantilever columns under tangential loading. J. Appl. Mech. Vol. 38 (1971) pp. 269/71.
Sankaran, G.V., a.G. Venkateswara Rao: Stability of tapered cantilever columns subjected to follower forces. Computers and Structures Vol. 6 (1976) pp. 217/20.
Nageswara Rao, B., a.G. Venkateswara Rao: Postbuckling analysis of a uniform cantilever column subjected to a tip concentrated subtangential follower force. Forsch. Ing.-Wes. Vol. 55 (1989) No. 2, pp. 36/38.
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Nageswara Rao, B., Venkateswara Rao, G. Stability of tapered cantilever columns subjected to a tip concentrated subtangential follower force. Forsch Ing-Wes 56, 93–96 (1990). https://doi.org/10.1007/BF02560974
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DOI: https://doi.org/10.1007/BF02560974