Free vibration analysis of four parameter functionally graded plates accounting transverse shear mode
In the present investigation, free vibration analysis of functionally graded material (FGM) plate is performed incorporating higher order shear deformation theory in conjunction with C0 based finite element formulation. The cubic component of thickness term is incorporated in in-plane fields and co...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2014-06-01
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| Series: | Vietnam Journal of Mechanics |
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| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/3312 |
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| author | Gulshan Taj M. N. A. Anupam Chakrabarti Mohammad Talha |
| author_facet | Gulshan Taj M. N. A. Anupam Chakrabarti Mohammad Talha |
| author_sort | Gulshan Taj M. N. A. |
| collection | DOAJ |
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In the present investigation, free vibration analysis of functionally graded material (FGM) plate is performed incorporating higher order shear deformation theory in conjunction with C0 based finite element formulation. The cubic component of thickness term is incorporated in in-plane fields and constant variation of thickness is assumed for transverse component. The theory incorporates the realistic parabolic variation of transverse shear stresses thus eliminates the use of shear correction factor. Aluminium/Zirconia plate is considered for the analysis and the effective properties are assumed to have smooth and gradual variation in the thickness direction and remain constant in in-plane direction. The spatial variation of properties pertaining to homogeneous and FGM plate is estimated by means of power law, which is described by the four parameters. With respect to dynamic analysis, it is vital for an analyst to know whether the top of the plate is ceramic or metal rich, and inversely bottom of the plate is ceramic or metal rich. This phenomenon can be described by choosing the appropriate values of the parameters appears in the power law. In the study, prominence has been given to study the influence of power law parameters on frequency response of FGM plates so as to accomplish different combination of FGM profiles. Thin and moderately thick FGM plates are analyzed to generate the frequency values of the FGM plate. The imperative conclusions presented regarding the choice of parameter in the power law could be useful for designer to arrive for particular material profile of FGM plate.
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| format | Article |
| id | doaj-art-5f4aab225baf487d860b5aa944fa3f5b |
| institution | DOAJ |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2014-06-01 |
| publisher | Publishing House for Science and Technology |
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| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-5f4aab225baf487d860b5aa944fa3f5b2025-08-20T02:55:05ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822014-06-0136210.15625/0866-7136/36/2/3312Free vibration analysis of four parameter functionally graded plates accounting transverse shear modeGulshan Taj M. N. A.0Anupam Chakrabarti1Mohammad Talha2Indian Institute of Technology Roorkee, IndiaIndian Institute of Technology Roorkee, IndiaInternational Institute for Aerospace Engineering and Management, Jain University, India In the present investigation, free vibration analysis of functionally graded material (FGM) plate is performed incorporating higher order shear deformation theory in conjunction with C0 based finite element formulation. The cubic component of thickness term is incorporated in in-plane fields and constant variation of thickness is assumed for transverse component. The theory incorporates the realistic parabolic variation of transverse shear stresses thus eliminates the use of shear correction factor. Aluminium/Zirconia plate is considered for the analysis and the effective properties are assumed to have smooth and gradual variation in the thickness direction and remain constant in in-plane direction. The spatial variation of properties pertaining to homogeneous and FGM plate is estimated by means of power law, which is described by the four parameters. With respect to dynamic analysis, it is vital for an analyst to know whether the top of the plate is ceramic or metal rich, and inversely bottom of the plate is ceramic or metal rich. This phenomenon can be described by choosing the appropriate values of the parameters appears in the power law. In the study, prominence has been given to study the influence of power law parameters on frequency response of FGM plates so as to accomplish different combination of FGM profiles. Thin and moderately thick FGM plates are analyzed to generate the frequency values of the FGM plate. The imperative conclusions presented regarding the choice of parameter in the power law could be useful for designer to arrive for particular material profile of FGM plate. https://vjs.ac.vn/index.php/vjmech/article/view/3312Functionally graded platefour parameter lawhigher order shear deformation theoryfree vibration analysis |
| spellingShingle | Gulshan Taj M. N. A. Anupam Chakrabarti Mohammad Talha Free vibration analysis of four parameter functionally graded plates accounting transverse shear mode Vietnam Journal of Mechanics Functionally graded plate four parameter law higher order shear deformation theory free vibration analysis |
| title | Free vibration analysis of four parameter functionally graded plates accounting transverse shear mode |
| title_full | Free vibration analysis of four parameter functionally graded plates accounting transverse shear mode |
| title_fullStr | Free vibration analysis of four parameter functionally graded plates accounting transverse shear mode |
| title_full_unstemmed | Free vibration analysis of four parameter functionally graded plates accounting transverse shear mode |
| title_short | Free vibration analysis of four parameter functionally graded plates accounting transverse shear mode |
| title_sort | free vibration analysis of four parameter functionally graded plates accounting transverse shear mode |
| topic | Functionally graded plate four parameter law higher order shear deformation theory free vibration analysis |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/3312 |
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