Stability and vibration analyses of tapered columns resting on one or two-parameter elastic foundations
This paper presents a generalized numerical method to evaluate element stiffness matrices needed for the free vibration and stability analyses of non-prismatic columns resting on one- or two-parameter elastic foundations and subjected to variable axial load. For this purpose, power series approximat...
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| Format: | Article |
| Language: | English |
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K. N. Toosi University of Technology
2014-12-01
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| Series: | Numerical Methods in Civil Engineering |
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| Online Access: | https://nmce.kntu.ac.ir/article_160409_a65a479338163fccb92c4c9ecdad0076.pdf |
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| _version_ | 1846114688431030272 |
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| author | Masoumeh Soltani Foudil Mohri |
| author_facet | Masoumeh Soltani Foudil Mohri |
| author_sort | Masoumeh Soltani |
| collection | DOAJ |
| description | This paper presents a generalized numerical method to evaluate element stiffness matrices needed for the free vibration and stability analyses of non-prismatic columns resting on one- or two-parameter elastic foundations and subjected to variable axial load. For this purpose, power series approximation is used to solve the fourth–order differential equation of non-prismatic columns with variable geometric parameters. Then, the shape functions are obtained exactly by deriving the deformation shape of the column as power series form. Finally, the element stiffness matrices are determined by means of the principle of virtual work along the columns axis. In order to demonstrate the accuracy and the efficiency of presented method, several numerical examples including in the free-vibration and buckling analysis of non-prismatic columns, portal frame, and gable frame are presented and obtained results compared with the results of other available numerical and theoretical approaches. The method can be applied for the buckling load and natural frequencies computation of uniform members as well as non- prismatic members. |
| format | Article |
| id | doaj-art-bdaaf6d9e03b4cd38cf15bfb8b3f40d6 |
| institution | Kabale University |
| issn | 2345-4296 2783-3941 |
| language | English |
| publishDate | 2014-12-01 |
| publisher | K. N. Toosi University of Technology |
| record_format | Article |
| series | Numerical Methods in Civil Engineering |
| spelling | doaj-art-bdaaf6d9e03b4cd38cf15bfb8b3f40d62024-12-20T08:37:04ZengK. N. Toosi University of TechnologyNumerical Methods in Civil Engineering2345-42962783-39412014-12-0112576610.29252/nmce.1.2.57160409Stability and vibration analyses of tapered columns resting on one or two-parameter elastic foundationsMasoumeh Soltani0Foudil Mohri1PhD in Structural Engineering, Civil Engineering Department, K.N.Toosi University of Technology, Tehran, IranAssociate Professor, Department of Civil Engineering, Université de Lorraine, Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3),This paper presents a generalized numerical method to evaluate element stiffness matrices needed for the free vibration and stability analyses of non-prismatic columns resting on one- or two-parameter elastic foundations and subjected to variable axial load. For this purpose, power series approximation is used to solve the fourth–order differential equation of non-prismatic columns with variable geometric parameters. Then, the shape functions are obtained exactly by deriving the deformation shape of the column as power series form. Finally, the element stiffness matrices are determined by means of the principle of virtual work along the columns axis. In order to demonstrate the accuracy and the efficiency of presented method, several numerical examples including in the free-vibration and buckling analysis of non-prismatic columns, portal frame, and gable frame are presented and obtained results compared with the results of other available numerical and theoretical approaches. The method can be applied for the buckling load and natural frequencies computation of uniform members as well as non- prismatic members.https://nmce.kntu.ac.ir/article_160409_a65a479338163fccb92c4c9ecdad0076.pdfstiffness matrixpower series solutionnon-prismatic columnbucklingvibration |
| spellingShingle | Masoumeh Soltani Foudil Mohri Stability and vibration analyses of tapered columns resting on one or two-parameter elastic foundations Numerical Methods in Civil Engineering stiffness matrix power series solution non-prismatic column buckling vibration |
| title | Stability and vibration analyses of tapered columns resting on one or two-parameter elastic foundations |
| title_full | Stability and vibration analyses of tapered columns resting on one or two-parameter elastic foundations |
| title_fullStr | Stability and vibration analyses of tapered columns resting on one or two-parameter elastic foundations |
| title_full_unstemmed | Stability and vibration analyses of tapered columns resting on one or two-parameter elastic foundations |
| title_short | Stability and vibration analyses of tapered columns resting on one or two-parameter elastic foundations |
| title_sort | stability and vibration analyses of tapered columns resting on one or two parameter elastic foundations |
| topic | stiffness matrix power series solution non-prismatic column buckling vibration |
| url | https://nmce.kntu.ac.ir/article_160409_a65a479338163fccb92c4c9ecdad0076.pdf |
| work_keys_str_mv | AT masoumehsoltani stabilityandvibrationanalysesoftaperedcolumnsrestingononeortwoparameterelasticfoundations AT foudilmohri stabilityandvibrationanalysesoftaperedcolumnsrestingononeortwoparameterelasticfoundations |