Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
783783 | International Journal of Non-Linear Mechanics | 2012 | 8 Pages |
We propose a new non-linear method for the static analysis of an infinite non-uniform beam resting on a non-linear elastic foundation under localized external loads. To this end, an integral operator equation is newly formulated, which is equivalent to the original differential equation of non-uniform beam. By using the integral operator equation, we propose a new functional iterative method for static beam analysis as a general approach to a variable beam cross-section. The method proposed is fairly simple as well as straightforward to apply. An illustrative example is presented to examine the validity of the proposed method. It shows that just a few iterations are required for an accurate solution.
► We propose a new iterative method for analyzing an infinite non-uniform static beam. ► The method concerns a general approach to a variable beam cross-section. ► It is fairly simple as well as straightforward to apply. ► Just a few iterations are required for an accurate solution.