An Analysis of Large-deflection Problems of Inhomogeneous Extensible Beams by the Integral Equation Method : 1st Report, the Analysis of Extensible Beams with Discontinuities in Cross-sectional Properties

Abstract

This paper is concerned with the large-deflection analysis of extensible beams that have discontinuities in cross-sectional properties by the integral equation method. Since the governing equation of the large-deflection problems of extensible beams has a non-linear form, it is difficult to analyse the problems by the conventional integral equation method. In a previous paper we proposed the iterative scheme that has the numerical stability to solve such problems. In this paper we apply the proposed scheme to the large-daflection problems of discontinuous, extensible beams. A number of numerical examples of beams with various edge conditions are analysed for deflections, and the influence of discontinuities on the non-linear properties of extensible beams is discussed.