期刊
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
卷 37, 期 3, 页码 439-443出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0020-7462(01)00019-1
关键词
large deflections; cantilever beams; combined loading; Ludwick type material; material non-linearity; geometrical non-linearity; numerical solution
类别
Large deflection of cantilever beams made of Ludwick type material subjected to a combined loading consisting of a uniformly distributed load and one vertical concentrated load at the free end was investigated. Governing equation was derived by using the shearing force formulation instead of the bending moment formulation because in the case of large deflected member, the shearing force formulation possesses some computational advantages over the bending moment formulation, Since the problem involves both geometrical and material non-linearities, the governing equation is complicated non-linear differential equation, which would in general require numerical solutions to determine the large deflection for a given loading. Numerical solution was obtained by using Butcher's fifth order Runge-Kutta method and are presented in a tabulated form. (C) 2001 Elsevier Science Ltd. All rights reserved.
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