Baek, H;
Park, J;
Jang, TS;
Sung, HG;
Paik, JK;
(2020)
Numerical investigation of non-linear deflections of an infinite beam on non-linear and discontinuous elastic foundation.
Ships and Offshore Structures
, 15
(1)
pp. 19-28.
10.1080/17445302.2014.919724.
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Abstract
The analysis of static deflections of an infinite beam resting on a non-linear and discontinuous foundation is not trivial. We apply a recently proposed iterative non-linear procedure to the analysis. Mathematical models of the elastic foundation are incorporated into the governing non-linear fourth-order differential equation of the system and then the differential equation is transformed into an equivalent non-linear integral equation using Green's functions. Numerical solutions of the integral equation clearly demonstrate herein that our non-linear iterative numerical method is simple and straightforward for approximate solutions of the static deflection of an infinite beam on a non-linear elastic foundation. Iterative numerical solutions converge fast to corresponding analytic solutions. However, numerical errors are observed in a narrow neighbourhood of material discontinuities of foundations.
| Type: | Article |
|---|---|
| Title: | Numerical investigation of non-linear deflections of an infinite beam on non-linear and discontinuous elastic foundation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1080/17445302.2014.919724 |
| Publisher version: | https://doi.org/10.1080/17445302.2014.919724 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | nfinite beam, discontinuous non-linear elastic foundation, Green's function, iterative method |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10150128 |
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