New integral LEM formulae applied to the nonlinear bar

摘要

The linear equivalence method (LEM), introduced by [Bull. Math. Soc. Sci. Math. de la Roumanie 24 (72) (1980) 4417: An. Univ. Bucuresti. ser. Matematica 31 (1982) 75] to get solutions of nonlinear ODEs, was used so far to get differential type representations. New LEM representations of integral type are presented here and used for the study of the nonlinear elastic bar, a good approximating formula for the rotation of the cross-section at the bar end is also obtained, in case of a simply supported bar. A parallel old new results is made by means of a programming code. (C) 2003 Elsevier Ltd. All Rights Reserved.