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Numerical investigation of non-linear deflections of an infinite beam on non-linear and discontinuous elastic foundation

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. Green open access

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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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