Vibration Analysis of a Magneto Thermo Electrical Nano Fiber Reinforced with Graphene Oxide Powder Under Refined Beam Model

Subject Areas : Mechanics of Solids

R Selvamani ¹ , J Rexy ² , F Ebrahimi ³

1 - Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore-641114, Tamilnadu, India
2 - Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore-641114, Tamilnadu, India
3 - Department of Mechanical Engineering, Imam Khomieni International University, Qazvin, Iran

Received: 2020-11-09 Accepted : 2021-01-24 Published : 2021-03-30

Keywords: NEMS, Static Stability, Refined trignometric beam theory, Magneto thermo elastic beam, Piezo electric fibers, Graphene oxide powder,

Abstract :

The present article express the magneto thermo electric deformation of composite nano fiber reinforced by graphene oxide powder (GOP). To reach the governing equation of the problem a higher-order trigonometric refined beam model is utilized according to Hamilton’s principle. The effect of a nonuniform magnetic and thermo piezo electric field is applied to the governing equations by combining the field relations with the displacement field equations. Then, obtained equations are solved by using Galerkin’s method to consider the influence of different boundary conditions on the vibrational responses of the fiber. The accuracy and efficiency of the presented model is verified by comparing the results with that of published researches. Further, the effects of different variant on the dimensionless frequency of GOP reinforced magneto piezo thermo elastic composite fibers are highlighted through tables and dispersion curves. The weight fraction of GOP and the magneto thermo electro effects have significant influence in the stiffness of the nano composites.

References:

[1] Ni Z., Bu H., Zou M., Yi H., Bi K., Chen Y., 2010, Anisotropic mechanical properties of graphene sheets from molecular dynamics, Physica B: Condensed Matter 405: 1301-1306.
[2] Emam S., Eltaher M., 2016, Buckling and postbuckling of composite beams in hygrothermal environments, Composite Structures 152: 665-675.
[3] Arefi M., Zenkour A.M., 2017, Wave propagation analysis of a functionally graded magneto-electro-elastic nanobeam rest on Visco-Pasternak foundation, Mechanics Research Communications 79: 51-62.
[4] Ke L.L., Wang Y.S., 2014, Free vibration of size-dependent magneto–electro-elastic nanobeams based on the nonlocal theory, Physica E 63: 52-61.
[5] Kheibari F., Beni Y.T., 2017, Size dependent electro-mechanical vibration of single-walled piezoelectric nanotubes using thin shell model, Materials and Design 114: 572-583.
[6] Selvamani R., Ebrahimi F., 2020, Axisymmetric vibration in a submerged, piezoelectric rod coated with thin film, Trends in Mathematics 2020: 203-211.
[7] Ke L., Wang Y., Reddy J., 2014, Thermo-electro-mechanical vibration of size-dependent piezoelectric cylindrical nanoshells under various boundary conditions, Composite Structures 116: 626-636.
[8] Ebrahimi F., Jafari A., Selvamani R., 2020, Thermal buckling analysis of magneto electro elastic porous FG beam in thermal environment, Advanes in Nano Research 8(1): 83-94.
[9] Alibeigi B., Beni Y.T., Mehralian F., 2018, On the thermal buckling of magneto-electro-elastic piezoelectric nanobeams, The European Physical Journal Plus 133(3): 133.
[10] Liu D., Kitipornchai S., Chen W., 2018, Three dimensional buckling and free vibration analyses of initially stressed functionally graded graphene reinforced composite cylindrical shell, Composite Structures 189: 560-569.
[11] Shen H.S., Xiang Y., Lin F., 2017, Buckling and postbuckling of functionally graded graphene-reinforced composite laminated plates in thermal environments, Composites Part B: Engineering 119: 67-78.
[12] Zhang Z., Li Y., Wu H., Zhang H., Wu H., Jiang S., Chai G., 2018, Mechanical analysis of functionally graded graphene oxide-reinforced composite beams based on the first-order shear deformation theory, Mechanics of Advanced Materials and Structures 27: 3-11.
[13] Garcia-Macias E., Rodriguez-Tembleque L., Saez A., 2018, Bending and free vibration analysis of functionally graded graphene vs. carbon nanotube reinforced composite plates, Composite Structures 186: 123-138.
[14] Martin-Gallego M., Bernal M.M., Hernandez M., Verdejo R., Lopez-Manchado M.A., 2013, Comparison of filler percolation and mechanical properties in graphene and carbon nanotubes filled epoxy nanocomposites, European Polymer Journal 49: 1347-1353.
[15] Im H., Kim J., 2012, Thermal conductivity of a graphene oxide–carbon nanotube hybrid/epoxy composite, Carbon 50: 5429-5440.
[16] Ebrahimi F., Nouraei M., Dabbagh A., 2020, Thermal vibration analysis of embedded graphene oxide powder-reinforced nanocomposite plates, Engineering with Computers 36: 879-895.
[17] Ebrahimi F., Nouraei M., Dabbagh A., 2019, Modeling vibration behavior of embedded graphene-oxide powder-reinforced nanocomposite plates in thermal environment, Mechanics Based Design of Structures and Machines 48: 1-24.
[18] Ebrahimi F., Dabbagh A., Civalek O., 2019, Vibration analysis of magnetically affected graphene oxide-reinforced nanocomposite beams, Journal of Vibration and Control 25: 2837-2849.
[19] Mao J.J., Zhang W., 2018, Linear and nonlinear free and forced vibrations of grapheme reinforced piezoelectric composite plate under external voltage excitation, Composite Structures 203: 551-565.
[20] Mao J.J., Zhang W., 2019, Buckling and post-buckling analyses of functionally graded graphene reinforced piezoelectric plate subjected to electric potential and axial forces, Composite Structures 216: 392-405.
[21] Ebrahimi F., Karimiasl M., Selvamani R., 2020, Bending analysis of magneto-electro piezoelectric nanobeams system under hygro-thermal loading, Advances in Nano Research 8(3): 203-214.
[22] Ebrahimi F., Kokaba M., Shaghaghi G., Selvamani R., 2020, Dynamic characteristics of hygro-magneto-thermo-electrical nanobeam with non-ideal boundary conditions, Advances in Nano Research 8(2): 169-182.
[23] Ebrahimi F.S., Hosseini H., Selvamani R., 2020, Thermo-electro-elastic nonlinear stability analysis of viscoelastic double-piezo nanoplates under magnetic field, Structural Engineering and Mechanics 73(5): 565-584.
[24] Mahaveer sree jayan M., Selvamani R., 2020, Chirality and small scale effects on embedded thermo elastic carbon nanotube conveying fluid, Journal of Physics Conference Series 1597: 012011.
[25] Mahaveer sree jayan M., Kumar R., Selvamani R., Rexy J., 2020, Nonlocal dispersion analyisis of a fluid conveying thermo elastic armchair single walled carbon nanotube under moving harmonic excitation, Journal of Solid Mechanics 12(1): 189-203.
[26] Rexy J., Selvamani R., Anitha L., 2020, Thermo piezoelectric sound waves in a nanofiber using Timoshenko beam theory incorporated with surface effect, Journal of Physics: Conference Series 1597: 012012.
[27] Selvamani R., Rexy J., Kumar R., 2020, Sound Wave Propagation in a multiferroic thermo elastic Nano Fiber under the influence of surface effect and parametric excitation, Journal of Solid Mechanics 12(2): 493-504.
[28] Calin I., Ochsner A., Vlase S., Marin M., 2019, Improved rigidity of composite circular plates through radial ribs, Proceedings of the Institution of Mechanical Engineers Part L - Journal of Materials-Design and Applications 233(8): 1585-1593.
[29] Vlase S., Marin M., Ochsner A., Scutaru M.L., 2019, Motion equation for a flexible one-dimensional element used in the dynamical analysis of a multibody system, Continuum Mechanics and Thermodynamics 31(3): 715-724.
[30] Bhatti M., Marin M., Zeeshan A., Ellahi R., Sara A., 2020, Swimming of motile gyrotactic microorganisms and nanoparticles in blood flow through anisotropically tapered arteries, Frontiers in Physics 8: 1-12.