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
- Authors
- Jang, T. S. m; Sung, Hong Gun
- Issue Date
- 5월-2012
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Non-uniform beam; Non-linear elastic foundation; Integral operator equation; New functional iterative method
- Citation
- INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, v.47, no.4, pp 132 - 139
- Pages
- 8
- Journal Title
- INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
- Volume
- 47
- Number
- 4
- Start Page
- 132
- End Page
- 139
- URI
- https://www.kriso.re.kr/sciwatch/handle/2021.sw.kriso/8840
- DOI
- 10.1016/j.ijnonlinmec.2012.04.005
- ISSN
- 0020-7462
1878-5638
- 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. (C) 2012 Elsevier Ltd. All rights reserved.
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