A new method for the non-linear deflection analysis of an infinite beam resting on a non-linear elastic foundation

摘要: Abstract The aim of this paper is to develop a new method analyzing the non-linear deflection behavior an infinite beam on elastic foundation. Non-linear problems have traditionally been dealt with by semi-analytical approaches that involve small perturbations or numerical methods, such as finite element method. In paper, in contrast, transformed integral equation governs formulated for solutions. proposed requires iteration solve problems, but fairly simple and straightforward apply. It also converges quickly, whereas traditional solution procedures are generally quite complex application. Mathematical analysis performed. addition, illustrative examples presented demonstrate validity developed present study.