A new semi-analytical approach to large deflections of Bernoulli–Euler-v. Karman beams on a linear elastic foundation: Nonlinear analysis of infinite beams

• Published in: International journal of mechanical sciences Vol. 66; pp. 22 - 32
• Main Author: Jang, T.S.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.01.2013
• Subjects: Approximation; Beams (structural); Deflection; Differential equations; Equivalence; Foundations; Large deflection of nonlinear beam; Mathematical analysis; New nonlinear method; Nonlinearity; The system of nonlinear integral equations; Wide range of applications; The system of nonlinear integral equations; Wide range of applications; New nonlinear method; Large deflection of nonlinear beam

A new method is proposed for the analysis of a moderately large deflection of an infinite nonlinear beam resting on an elastic foundation under localized external loads. For that, based on the v. Karman approximation of geometrical non-linearity, the system of nonlinear integral equations is first f...