Analytical solution for beams on elastic foundation with complex conditions
Abstract
This paper proposes a new approach to obtain the analytical solution of the problem of a beam on elastic foundation. The method is performed by dividing the beam into beam segments and presenting the loading as sum of singularity functions, combining with the resources of modern computational algebra programs such as Mathematica, Maple… for the solutions of ordinary differential equations of the beam segments. By the proposed method, the analysis of beams on elastic foundation with various loads and structural discontinuities such as jumps in beam or foundation stiffness becomes quite simple.
Keywords: Analytical solution; singularity functions; beam on elastic foundation.
Downloads
1. The Author assigns all copyright in and to the article (the Work) to the Journal of Science and Technology in Civil Engineering (JSTCE) – Hanoi University of Civil Engineering (HUCE), including the right to publish, republish, transmit, sell and distribute the Work in whole or in part in electronic and print editions of the Journal, in all media of expression now known or later developed.
2. By this assignment of copyright to the JSTCE, reproduction, posting, transmission, distribution or other use of the Work in whole or in part in any medium by the Author requires a full citation to the Journal, suitable in form and content as follows: title of article, authors’ names, journal title, volume, issue, year, copyright owner as specified in the Journal, DOI number. Links to the final article published on the website of the Journal are encouraged.
3. The Author and the company/employer agree that any and all copies of the final published version of the Work or any part thereof distributed or posted by them in print or electronic format as permitted herein will include the notice of copyright as stipulated in the Journal and a full citation to the Journal as published on the website.
