Free Vibration Analysis of Thick Annular Functionally Graded Plate Integrated with Piezo-Magneto-Electro-Elastic Layers in a Hygrothermal Environment
Source abstract
Abstract
The present work aims at investigating the hygrothermal effect on the natural frequencies of functionally graded (FG) annular plates integrated with piezo-magneto-electro-elastic layers resting on a Pasternak elastic foundation. The formulation is based on a layer-wise (LW) theory, where the Hamiltonian principle is used to obtain the governing equation of the problem involving temperature- and moisture-dependent material properties. The differential quadrature method (DQM) is applied here as a numerical strategy to solve the governing equations for different boundary conditions. The material properties of FG annular plates are varied along the thickness based on a power law function. The accuracy of the proposed method is, first, validated for a limit-case example. A sensitivity study of the free vibration response is, thus, performed for different input parameters, such as temperature and moisture variations, elastic foundation, boundary conditions, electric and magnetic potential of piezo-magneto-electro-elastic layers and geometrical ratios, with useful insights from a design standpoint.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Structural Load-Bearing Analysis · Nonlocal and gradient elasticity in micro/nano structures
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mechanical Engineering, University of Eyvanekey, Eyvanekey 9988835918, Iran
Department of Mechanical Engineering, Faculty of Engineering, North Tehran Branch, Islamic Azad University, Tehran 5157944533, Iran
Department of Innovation Engineering, University of Salento, 73100 Lecce, Italy
References (36)
Show source-provided references
1. nonlinear finite element analysis of functionally graded circular plates with modified couple stress theory10.1016/j.euromechsol.2015.11.001 ↗
2. The vibration and stability of a three-layered conical shell containing an FGM layer subjected to axial compressive load10.1007/s00707-006-0328-5 ↗
3. A new sinusoidal shear deformation theory for bending, buckling and vibration of functionally graded plates10.1016/j.apm.2012.08.008 ↗
4. thermal effect on free vibration of functionally graded truncated conical shell panels10.1016/j.tws.2016.01.032 ↗
5. Semi analytical solution for free vibration of thick FG plates rested on elastic foundation with elastically restrained edge10.1016/S0894-9166(11)60035-9 ↗
6. Three-dimensional free vibration analysis of functionally graded piezoelectric annular plates via SSDQM and comparative modeling by ANN10.1016/j.mcm.2012.12.002 ↗
7. Size dependent buckling analysis of FG micro beams based on modified couple stress theory10.1016/j.apm.2011.12.035 ↗
8. biaxial buckling analysis of soft-core composite sandwich plates using improved high-order theory10.1016/j.euromechsol.2011.07.003 ↗
9. Refined Zigzag theory for vibration analysis of viscoelasic functionally graded carbon nanotube reinforced composite microplates integrated with piezoelectric layers
10. Structural modeling, vibration analysis and optimal viscoelastic layer characterization of adaptive sandwich beams with electrorheological fluid core10.1016/j.mechrescom.2013.04.009 ↗
11. Aeroelastic dynamics stability of rotating sandwich annular plate with viscoelastic core layer10.1007/s10483-016-2012-9 ↗
12. Buckling of laminated sandwich plates with soft core based on an improved higher oreder zigzag theory10.1016/j.tws.2008.03.002 ↗
13. Experimental validation of the modified couple stress Timoshenko beam theory for web-core sandwich panels10.1016/j.compstruct.2013.11.029 ↗
14. Buckling analysis of sandwich plate using layerwise theory10.1007/s12206-014-0512-9 ↗
15. Three dimensional layerwise finite element free vibration analysis of thick laminated annular plates on elastic foundation10.1016/j.apm.2009.06.015 ↗
16. Analytical stress analysis of annular FGM sandwich plates with non-uniform shear and normal tractions, employing a zigzag-elasticity plate theory10.1016/j.ast.2013.10.007 ↗
17. Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and RBF-PS discretizations with optimal shape parameter10.1016/j.compstruct.2008.07.025 ↗
18. Analytical layerwise free vibration analysis of circular/annular composite sandwich plates with auxetic cores10.1007/s10999-015-9321-2 ↗
19. Effects of elastically restrained edges on FG sandwich annular plates by using a novel solution procedure based on layerwise formulation10.1016/j.acme.2016.04.015 ↗
20. Buckling and vibration analysis of embedded functionally graded carbon nanotubereinforced composite annular sector plates under thermal loading10.1016/j.compositesb.2016.10.050 ↗
21. Vibration analysis of functionally graded annular plates with mixed boundary conditions in thermal environment10.1016/j.jsv.2012.03.027 ↗
22. Three-dimensional free vibration of thick functionally graded annular plates in thermal environment10.1016/j.jsv.2009.09.025 ↗
23. Analysis of a rotating FGMEE circular disk with variable thickness under thermal environment10.1016/j.apm.2017.01.007 ↗
24. Multi thermal waves in a thermo diffusive piezo electric functionally graded rod via refined multi-dual phase-lag model10.1515/cls-2022-0010 ↗
25. Hygrothermal stresses in one-dimensional functionally graded piezoelectric media in constant magnetic field10.1016/j.compstruct.2012.09.058 ↗
26. Hygrothermal postbuckling behavior of functionally graded plates10.1016/j.compstruct.2012.07.010 ↗
27. An accurate shear deformation theory for vibration and buckling of FGM sandwich plates in hygrothermal environment10.1016/j.ijmecsci.2016.03.003 ↗
28. Biaxial thermo-mechani.ical buckling of orthotropic auxetic FGM plates with temperature and moisture dependent material properties on elastic foundations10.1016/j.compositesb.2015.08.030 ↗
29. Pulsating fluid induced dynamic instability of visco-double-walled carbon nano-tubes based on sinusoidal strain gradient theory using DQM and Bolotin method10.1007/s10999-014-9291-9 ↗
30. Free vibration of nonlocal piezoelectric nanoplates under various boundary conditions10.1016/j.physe.2014.10.002 ↗
31. Bending and free vibration of FG annular and circular microplates under thermal loading10.1016/j.compstruct.2015.11.024 ↗
32. Buckling and free vibration of magnetoelectroelastic nanoplate based on nonlocal theory10.1016/j.compstruct.2014.01.033 ↗
33. Magnetoelectroelastic behavior of rotating cylinders resting on an elastic foundation under hygrothermal loading10.1088/0964-1726/21/12/125013 ↗
34. On the thermal buckling and postbuckling responses of temperature-dependent graphene platelets reinforced porous nanocomposite beams10.1016/j.compstruct.2022.115880 ↗
35. Dynamic analysis of multi-directional functionally graded annular plates10.1016/j.apm.2009.06.009 ↗
36. Magneto-electro-elastic vibration of moderately thick FG annular plates subjected to multi physical loads in thermal environment using GDQ method by considering neutral surface