Formulation and solution of curved beams with elastic supports
| Autor: | Mikel Goñi Garatea, Lázaro Gimena Ramos, Fernando Sarria Pueyo, Pedro Gonzaga Vélez, Faustino N. Gimena Ramos |
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| Přispěvatelé: | Universidad Pública de Navarra. Departamento de Ingeniería, Nafarroako Unibertsitate Publikoa. Ingeniaritza Saila |
| Rok vydání: | 2018 |
| Předmět: |
Physics
analytical and numerical solutions Curved beam General Engineering Support equations Mechanics Transfer matrix support equations curved beam stiffness matrix transfer matrix Stiffness matrix lcsh:TA1-2040 Analytical and numerical solutions lcsh:Engineering (General). Civil engineering (General) |
| Zdroj: | Academica-e. Repositorio Institucional de la Universidad Pública de Navarra instname Tehnički Vjesnik, Vol 25, Iss Supplement 1, Pp 56-65 (2018) Academica-e: Repositorio Institucional de la Universidad Pública de Navarra Universidad Pública de Navarra Tehnički vjesnik Volume 25 Issue Supplement 1 |
| ISSN: | 1330-3651 1848-6339 |
| Popis: | This article presents the general system of differential equations that governs the behaviour of a curved beam, which can be solved by either numerical or analytical methods. The obtained solution represents the matricial expression of transference. The stiffness matrix is derived directly rearranging the transfer matrix. Through twelve equations are shown the elastic conditions of the support in both ends of the curved piece. By joining the twelve equations of the stiffness matrix expression with the twelve equations of support conditions, we determined a unique system of equations associated to the curved beam with elastic supports. Establishing the elastic conditions has always been a problem, since previous traditional models do not look at the whole system, of twenty four equations, with all the unknowns and all the functions. Two examples of pieces with elastic supports are developed to show the applicability of the proposed method. |
| Databáze: | OpenAIRE |
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