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

详细信息	查看全文 | 推荐本文 |

• 作者：T.S. Jang^a ; ^{taek@pusan.ac.kr} ; Hong Gun Sung^b
• 关键词：Non-uniform beam ; Non-linear elastic foundation ; Integral operator equation ; New functional iterative method
• 刊名：International Journal of Non-Linear Mechanics
• 出版年：2012
• 期刊代码：87_00207462
• 类别：et
• 出版时间：May, 2012
• 卷：47
• 期：4
• 页码：132-139
• 文件大小：1016 K

摘要

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.