Free vibration analysis of orthtropic thin cylindrical shells with variable thickness by using spline functions
In this study, vibration behavior of orthotropic cylindrical shells with variable thickness is investigated. Based on linear shell theory and applying energy method and using spline functions, free vibration relations are derived for shell with variable thickness and curvature. Frequency parameter a...
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| Format: | Article |
| Language: | English |
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Marcílio Alves
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| Series: | Latin American Journal of Solids and Structures |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001200001&lng=en&tlng=en |
| _version_ | 1818198774325968896 |
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| author | Pouria Bahrami Ataabadi Mohammad Reza Khedmati Mostafa Bahrami Ataabadi |
| author_facet | Pouria Bahrami Ataabadi Mohammad Reza Khedmati Mostafa Bahrami Ataabadi |
| author_sort | Pouria Bahrami Ataabadi |
| collection | DOAJ |
| description | In this study, vibration behavior of orthotropic cylindrical shells with variable thickness is investigated. Based on linear shell theory and applying energy method and using spline functions, free vibration relations are derived for shell with variable thickness and curvature. Frequency parameter and mode shapes are found after solving the frequency Eigenvalue equation. Effects of variable thickness along axial and circumferential directions of the shell on its frequency parameter are studied and compared against each other. Shell thickness is assumed to be varied in a parabolic profile along both directions. Also, frequency parameters for both circular and parabolic curvatures along circumferential direction are investigated and results are compared together. In addition, effect of variable thickness on the mode shapes is studied. |
| first_indexed | 2024-12-12T02:11:13Z |
| format | Article |
| id | doaj.art-901834393d2141609c47f011c6895ce5 |
| institution | Directory Open Access Journal |
| issn | 1679-7825 |
| language | English |
| last_indexed | 2024-12-12T02:11:13Z |
| publisher | Marcílio Alves |
| record_format | Article |
| series | Latin American Journal of Solids and Structures |
| spelling | doaj.art-901834393d2141609c47f011c6895ce52022-12-22T00:41:54ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782511122099212110.1590/S1679-78252014001200001S1679-78252014001200001Free vibration analysis of orthtropic thin cylindrical shells with variable thickness by using spline functionsPouria Bahrami Ataabadi0Mohammad Reza Khedmati1Mostafa Bahrami Ataabadi2Amirkabir University of TechnologyAmirkabir University of TechnologyNational Iranian Oil CompanyIn this study, vibration behavior of orthotropic cylindrical shells with variable thickness is investigated. Based on linear shell theory and applying energy method and using spline functions, free vibration relations are derived for shell with variable thickness and curvature. Frequency parameter and mode shapes are found after solving the frequency Eigenvalue equation. Effects of variable thickness along axial and circumferential directions of the shell on its frequency parameter are studied and compared against each other. Shell thickness is assumed to be varied in a parabolic profile along both directions. Also, frequency parameters for both circular and parabolic curvatures along circumferential direction are investigated and results are compared together. In addition, effect of variable thickness on the mode shapes is studied.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001200001&lng=en&tlng=enCylindrical shellParabolic curvatureVariable thicknessNatural frequencySpline functionDiscrete method |
| spellingShingle | Pouria Bahrami Ataabadi Mohammad Reza Khedmati Mostafa Bahrami Ataabadi Free vibration analysis of orthtropic thin cylindrical shells with variable thickness by using spline functions Latin American Journal of Solids and Structures Cylindrical shell Parabolic curvature Variable thickness Natural frequency Spline function Discrete method |
| title | Free vibration analysis of orthtropic thin cylindrical shells with variable thickness by using spline functions |
| title_full | Free vibration analysis of orthtropic thin cylindrical shells with variable thickness by using spline functions |
| title_fullStr | Free vibration analysis of orthtropic thin cylindrical shells with variable thickness by using spline functions |
| title_full_unstemmed | Free vibration analysis of orthtropic thin cylindrical shells with variable thickness by using spline functions |
| title_short | Free vibration analysis of orthtropic thin cylindrical shells with variable thickness by using spline functions |
| title_sort | free vibration analysis of orthtropic thin cylindrical shells with variable thickness by using spline functions |
| topic | Cylindrical shell Parabolic curvature Variable thickness Natural frequency Spline function Discrete method |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001200001&lng=en&tlng=en |
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