Vibration Analysis of Circular Arch Element Using Curvature
In this paper, a finite element technique was used to determine the natural frequencies, and the mode shapes of a circular arch element was based on the curvature, which can fully represent the bending energy and by the equilibrium equations, the shear and axial strain energy were incorporated into...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2008/149393 |
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| author | H. Saffari R. Tabatabaei S.H. Mansouri |
| author_facet | H. Saffari R. Tabatabaei S.H. Mansouri |
| author_sort | H. Saffari |
| collection | DOAJ |
| description | In this paper, a finite element technique was used to determine the natural frequencies, and the mode shapes of a circular arch element was based on the curvature, which can fully represent the bending energy and by the equilibrium equations, the shear and axial strain energy were incorporated into the formulation. The treatment of general boundary conditions dose need a consideration when the element is incorporated by the curvature-based formula. This can be obtained by the introduction of a transformation matrix between nodal curvatures and nodal displacements. The equation of the motion for the element was obtained by the Lagrangian equation. Four examples are presented in order to verify the element formulation and its analytical capability. |
| format | Article |
| id | doaj-art-cfe3de97bcf449deb79715ea6b571a17 |
| institution | DOAJ |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-cfe3de97bcf449deb79715ea6b571a172025-08-20T03:19:46ZengWileyShock and Vibration1070-96221875-92032008-01-0115548149210.1155/2008/149393Vibration Analysis of Circular Arch Element Using CurvatureH. Saffari0R. Tabatabaei1S.H. Mansouri2Civil Engineering Department, University of Kerman, Kerman, IranCivil Engineering Department, University of Kerman, Kerman, IranMechanical Engineering Department, University of Kerman, Kerman, IranIn this paper, a finite element technique was used to determine the natural frequencies, and the mode shapes of a circular arch element was based on the curvature, which can fully represent the bending energy and by the equilibrium equations, the shear and axial strain energy were incorporated into the formulation. The treatment of general boundary conditions dose need a consideration when the element is incorporated by the curvature-based formula. This can be obtained by the introduction of a transformation matrix between nodal curvatures and nodal displacements. The equation of the motion for the element was obtained by the Lagrangian equation. Four examples are presented in order to verify the element formulation and its analytical capability.http://dx.doi.org/10.1155/2008/149393 |
| spellingShingle | H. Saffari R. Tabatabaei S.H. Mansouri Vibration Analysis of Circular Arch Element Using Curvature Shock and Vibration |
| title | Vibration Analysis of Circular Arch Element Using Curvature |
| title_full | Vibration Analysis of Circular Arch Element Using Curvature |
| title_fullStr | Vibration Analysis of Circular Arch Element Using Curvature |
| title_full_unstemmed | Vibration Analysis of Circular Arch Element Using Curvature |
| title_short | Vibration Analysis of Circular Arch Element Using Curvature |
| title_sort | vibration analysis of circular arch element using curvature |
| url | http://dx.doi.org/10.1155/2008/149393 |
| work_keys_str_mv | AT hsaffari vibrationanalysisofcirculararchelementusingcurvature AT rtabatabaei vibrationanalysisofcirculararchelementusingcurvature AT shmansouri vibrationanalysisofcirculararchelementusingcurvature |