Computational modeling of sigmoid functionally graded material (SFGM) plate
The first-order shear deformation theory (FSDT) was used to explore the natural frequency response of functionally graded piezoelectric plates subjected to static electrical and mechanical strain in this present study. A monomorph model for a functionally graded piezoelectric plate with material pro...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | Materials Research Express |
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| Online Access: | https://doi.org/10.1088/2053-1591/ace0fc |
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| author | Jai Kumar Sharma Sateesh Kumar Nishant Kumar S M Mozammil Hasnain Shatrudhan Pandey Ahmed Farouk Deifalla Adham E Ragab |
| author_facet | Jai Kumar Sharma Sateesh Kumar Nishant Kumar S M Mozammil Hasnain Shatrudhan Pandey Ahmed Farouk Deifalla Adham E Ragab |
| author_sort | Jai Kumar Sharma |
| collection | DOAJ |
| description | The first-order shear deformation theory (FSDT) was used to explore the natural frequency response of functionally graded piezoelectric plates subjected to static electrical and mechanical strain in this present study. A monomorph model for a functionally graded piezoelectric plate with material properties that change according to sigmoid law with respect to plate thickness has been considered. A three-dimensional finite element model with a free tetrahedral element mesh was created using COMSOL 4.2 Multiphysics ^® software, with each node having three degrees of freedom. Variations in the FGPM plate’s free vibration boundary conditions, composition, and geometry have all been investigated. In free vibration analysis, non-dimensional natural frequency of FGPM plate initially decreasing considerably and then remaining almost constant with the increase in volume fraction index when material property graded by power law. When material properties are varied by sigmoid law, with an increase in volume fraction index, the non-dimensional natural frequency of FGPM plates remains virtually constant. FGPM plates have a lower non-dimensional natural frequency if the thickness to width ratio is greater. Non-dimensional natural frequencies of Clamped-Clamped FGPM plates (C–C–C–C) are greater compared to Clamped-Free FGPM (C–F–C–F) and Simply Supported Free FGPM (S–F–S–F). |
| first_indexed | 2024-03-12T15:37:27Z |
| format | Article |
| id | doaj.art-8665d99c9fb14d46afaaeca28aba9b90 |
| institution | Directory Open Access Journal |
| issn | 2053-1591 |
| language | English |
| last_indexed | 2024-03-12T15:37:27Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | Materials Research Express |
| spelling | doaj.art-8665d99c9fb14d46afaaeca28aba9b902023-08-09T16:09:21ZengIOP PublishingMaterials Research Express2053-15912023-01-0110707570110.1088/2053-1591/ace0fcComputational modeling of sigmoid functionally graded material (SFGM) plateJai Kumar Sharma0https://orcid.org/0000-0002-1065-3115Sateesh Kumar1Nishant Kumar2S M Mozammil Hasnain3https://orcid.org/0000-0002-9340-1836Shatrudhan Pandey4https://orcid.org/0000-0002-1400-8703Ahmed Farouk Deifalla5Adham E Ragab6Department of Mechanical Engineering, ITM University , Gwalior 474001, IndiaDepartment of Mechanical Engineering, ITM University , Gwalior 474001, IndiaDepartment of Mechanical Engineering, ITM University , Gwalior 474001, IndiaFaculty of Engineering and Applied Sciences, Usha Martin University , Ranchi 835103, IndiaDepartment of Production and Industrial Engineering, Birla Institute of Technology , Mesra, Ranchi 835215, IndiaDepartment of Structural Engineering and Construction Management, Future University , New Cairo 11835, EgyptDepartment of Industrial Engineering, College of Engineering, King Saud University , Post Box 800, Riyadh 11421, Saudi ArabiaThe first-order shear deformation theory (FSDT) was used to explore the natural frequency response of functionally graded piezoelectric plates subjected to static electrical and mechanical strain in this present study. A monomorph model for a functionally graded piezoelectric plate with material properties that change according to sigmoid law with respect to plate thickness has been considered. A three-dimensional finite element model with a free tetrahedral element mesh was created using COMSOL 4.2 Multiphysics ^® software, with each node having three degrees of freedom. Variations in the FGPM plate’s free vibration boundary conditions, composition, and geometry have all been investigated. In free vibration analysis, non-dimensional natural frequency of FGPM plate initially decreasing considerably and then remaining almost constant with the increase in volume fraction index when material property graded by power law. When material properties are varied by sigmoid law, with an increase in volume fraction index, the non-dimensional natural frequency of FGPM plates remains virtually constant. FGPM plates have a lower non-dimensional natural frequency if the thickness to width ratio is greater. Non-dimensional natural frequencies of Clamped-Clamped FGPM plates (C–C–C–C) are greater compared to Clamped-Free FGPM (C–F–C–F) and Simply Supported Free FGPM (S–F–S–F).https://doi.org/10.1088/2053-1591/ace0fcfunctionally graded piezoelectric material (FGPM)COMSOLfinite element method (FEM)sigmoid lawfree vibration |
| spellingShingle | Jai Kumar Sharma Sateesh Kumar Nishant Kumar S M Mozammil Hasnain Shatrudhan Pandey Ahmed Farouk Deifalla Adham E Ragab Computational modeling of sigmoid functionally graded material (SFGM) plate Materials Research Express functionally graded piezoelectric material (FGPM) COMSOL finite element method (FEM) sigmoid law free vibration |
| title | Computational modeling of sigmoid functionally graded material (SFGM) plate |
| title_full | Computational modeling of sigmoid functionally graded material (SFGM) plate |
| title_fullStr | Computational modeling of sigmoid functionally graded material (SFGM) plate |
| title_full_unstemmed | Computational modeling of sigmoid functionally graded material (SFGM) plate |
| title_short | Computational modeling of sigmoid functionally graded material (SFGM) plate |
| title_sort | computational modeling of sigmoid functionally graded material sfgm plate |
| topic | functionally graded piezoelectric material (FGPM) COMSOL finite element method (FEM) sigmoid law free vibration |
| url | https://doi.org/10.1088/2053-1591/ace0fc |
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