Formulation and Solution of Curved Beams with Elastic Supports
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 rearrangi...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek
2018-01-01
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| Series: | Tehnički Vjesnik |
| Subjects: | |
| Online Access: | https://hrcak.srce.hr/file/295376 |
| _version_ | 1797207681381957632 |
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| author | Fernando Sarria Faustino N. Gimena Pedro Gonzaga Mikel Goñi Lázaro Gimena |
| author_facet | Fernando Sarria Faustino N. Gimena Pedro Gonzaga Mikel Goñi Lázaro Gimena |
| author_sort | Fernando Sarria |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T09:26:46Z |
| format | Article |
| id | doaj.art-72871e4b42814f959a3bbd5853d1a39c |
| institution | Directory Open Access Journal |
| issn | 1330-3651 1848-6339 |
| language | English |
| last_indexed | 2024-04-24T09:26:46Z |
| publishDate | 2018-01-01 |
| publisher | Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek |
| record_format | Article |
| series | Tehnički Vjesnik |
| spelling | doaj.art-72871e4b42814f959a3bbd5853d1a39c2024-04-15T14:46:39ZengFaculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in OsijekTehnički Vjesnik1330-36511848-63392018-01-0125Supplement 1566510.17559/TV-20160624100741Formulation and Solution of Curved Beams with Elastic SupportsFernando Sarria0Faustino N. Gimena1Pedro Gonzaga2Mikel Goñi3Lázaro Gimena4Public University of Navarre, Tejos building, Campus Arrosadia, 31006 Pamplona, SpainPublic University of Navarre, Tejos building, Campus Arrosadia, 31006 Pamplona, SpainPublic University of Navarre, Tejos building, Campus Arrosadia, 31006 Pamplona, SpainPublic University of Navarre, Tejos building, Campus Arrosadia, 31006 Pamplona, SpainPublic University of Navarre, Tejos building, Campus Arrosadia, 31006 Pamplona, SpainThis 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.https://hrcak.srce.hr/file/295376analytical and numerical solutionscurved beamstiffness matrixsupport equationstransfer matrix |
| spellingShingle | Fernando Sarria Faustino N. Gimena Pedro Gonzaga Mikel Goñi Lázaro Gimena Formulation and Solution of Curved Beams with Elastic Supports Tehnički Vjesnik analytical and numerical solutions curved beam stiffness matrix support equations transfer matrix |
| title | Formulation and Solution of Curved Beams with Elastic Supports |
| title_full | Formulation and Solution of Curved Beams with Elastic Supports |
| title_fullStr | Formulation and Solution of Curved Beams with Elastic Supports |
| title_full_unstemmed | Formulation and Solution of Curved Beams with Elastic Supports |
| title_short | Formulation and Solution of Curved Beams with Elastic Supports |
| title_sort | formulation and solution of curved beams with elastic supports |
| topic | analytical and numerical solutions curved beam stiffness matrix support equations transfer matrix |
| url | https://hrcak.srce.hr/file/295376 |
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