A new semi-analytical method for the non-linear static analysis of an infinite beam on a non-linear elastic foundation: A general approach to a variable beam cross-section |
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Authors: | TS Jang Hong Gun Sung |
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Institution: | 1. Naval Architecture and Ocean Engineering, Pusan National University, Busan 609-735, Republic of Korea;2. Maritime and Ocean Engineering Research Institute, Daejeon 305-343, Republic of Korea |
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Abstract: | 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. |
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