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| dc.contributor | Universitat Politècnica de Catalunya. Departament d'Enginyeria Electrònica |
|---|---|
| dc.contributor | Universitat Politècnica de Catalunya. GAA - Grup d'Astronomia i Astrofísica |
| dc.contributor.author | Ahmad, Fayyaz |
| dc.contributor.author | Jang, Taek Soo |
| dc.contributor.author | Carrasco, Juan A. |
| dc.contributor.author | Shafiq Ur, Rehman |
| dc.contributor.author | Ali, Zulfiqar |
| dc.contributor.author | Ali, Nukhaze |
| dc.date | 2018-10-01 |
| dc.identifier.citation | Ahmad, F., Jang, T., Carrasco, J., Shafiq Ur, R., Zulfiqar Ali, N. A. An efficient iterative method for computing deflections of Bernoulli–Euler–von Karman beams on a nonlinear elastic foundation. "Applied mathematics and computation", 1 Octubre 2018, vol. 334, p. 269-287. |
| dc.identifier.citation | 0096-3003 |
| dc.identifier.citation | https://www.researchgate.net/publication/325111834_An_efficient_iterative_method_for_computing_deflections_of_Bernoulli-Euler-von_Karman_beams_on_a_nonlinear_elastic_foundation |
| dc.identifier.citation | 10.1016/j.amc.2018.03.038 |
| dc.identifier.uri | http://hdl.handle.net/2117/121263 |
| dc.description.abstract | An efficient iterative method is developed for the static analysis of large deflections of an infinite beam with variable cross-section resting on a nonlinear foundation. A pseudo spring constant is added and explicit matrix operators are introduced to perform differentiation through Green's function. The nonlinearity of the problem is handled with quasilinearization. To compute the solution of the quasilinear differential equation with prescribed accuracy, a new discretization method for solving quasilinear differential equations involving up to the 4th order derivative is used. The discretization method is based on relating discretizations of up to the fourth order derivative of the solution with a discretization of the solution by using a suitable Green function. Numerical experiments show that the error incurred by the discretization can be made small for the two first derivatives and that the method proposed in the paper converges fast and has good accuracy. |
| dc.description.abstract | Peer Reviewed |
| dc.language.iso | eng |
| dc.relation | https://www.sciencedirect.com/science/article/abs/pii/S009630031830211X |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights | info:eu-repo/semantics/openAccess |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Enginyeria electrònica |
| dc.subject | Differential equations |
| dc.subject | Infinite beam |
| dc.subject | Variable cross-section |
| dc.subject | Nonlinear foundation |
| dc.subject | Quasilinearization |
| dc.subject | Discretization |
| dc.subject | Green’s function |
| dc.subject | Equacions diferencials |
| dc.title | An efficient iterative method for computing deflections of Bernoulli–Euler–von Karman beams on a nonlinear elastic foundation |
| dc.type | info:eu-repo/semantics/publishedVersion |
| dc.type | info:eu-repo/semantics/article |
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