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International Journal of Non-Linear Mechanics, Volume 47, Issue 4, May 2012, Pages 132-139 T.S. Jang, Hong Gun Sung
Naval Architecture and Ocean Engineering, Pusan National University, Busan 609-735, Republic of Korea
Maritime and Ocean Engineering Research Institute, Daejeon 305-343, Republic of Korea
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.
Prof. T.S. Jang’s Homepage: http://home.pusan.ac.kr/~wave/
ScienceDirect Link : http://www.sciencedirect.com/science/article/pii/S0020746212000509
