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http://dx.doi.org/10.12989/anr.2020.8.1.049

On transient hygrothermal vibration of embedded viscoelastic flexoelectric/piezoelectric nanobeams under magnetic loading  

Shariati, Ali (Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University)
Ebrahimi, Farzad (Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University)
Karimiasl, Mahsa (Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University)
Vinyas, M. (Department of Aerospace Engineering, Indian Institute of Science)
Toghroli, Ali (Institute of Research and Development, Duy Tan University)
Publication Information
Advances in nano research / v.8, no.1, 2020 , pp. 49-58 More about this Journal
Abstract
This paper investigates the vibration characteristics of flexoelectric nanobeams resting on viscoelastic foundation and subjected to magneto-electro-viscoelastic-hygro-thermal (MEVHT) loading. In this regard, the Nonlocal strain gradient elasticity theory (NSGET) is employed. The proposed formulation accommodates the nonlocal stress and strain gradient parameter along with the flexoelectric coefficient to accurately predict the frequencies. Further, with the aid of Hamilton's principle the governing differential equations are derived which are then solved through Galerkin-based approach. The variation of the natural frequency of MEVHT nanobeams under the influence of various parameters such as the nonlocal strain gradient parameter, different field loads, power-law exponent and slenderness ratio are also investigated.
Keywords
transient damping vibration; magneto-electro-viscoelastic-hygro-thermal; nanobeam; Visco-Pasternak foundation; nonlocal strain gradient elasticity;
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1 Zenkour, A.M., Allam, M.N.M. and Radwan, A.F. (2014), "Effects of transverse shear and normal strains on fg plates resting on elastic foundations under hygro-thermo-mechanical loading", Int. J. Appl. Mech., 6(5), 1450063. https://doi.org/10.1142/S175882511450063X   DOI
2 Ebrahimi, F. and Salari, E. (2015b), "Thermo-mechanical vibration analysis of nonlocal temperature-dependent FG nanobeams with various boundary conditions", Compos. Part B: Eng., 78, 272-290. https://doi.org/10.1016/j.compositesb.2015.03.068   DOI
3 Ebrahimi, F., Barati, M.R. and Dabbagh, A. (2016), "A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates", Int. J. Eng. Sci., 107, 169-182. https://doi.org/10.1016/j.ijengsci.2016.07.008   DOI
4 Eringen, A.C. (1983), "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves", J. Appl. Phys., 54(9), 4703-4710. https://doi.org/10.1063/1.332803   DOI
5 Frikha, A., Zghal, S. and Dammak, F. (2018), "Dynamic analysis of functionally graded carbon nanotubes-reinforced plate and shell structures using a double directors finite shell element", Aerosp. Sci. Technol., 78, 438-451. https://doi.org/10.1016/j.ast.2018.04.048   DOI
6 Hamed, M.A., Eltaher, M.A., Sadoun, A.M. and Almitani, K.H. (2016), "Free vibration of symmetric and sigmoid functionally graded nanobeams", Appl. Phys. A, 122(9), 829. https://doi.org/10.1007/s00339-016-0324-0   DOI
7 Hashemi, S.H., Mehrabani, H. and Ahmadi-Savadkoohi, A. (2015), "Exact solution for free vibration of coupled double viscoelastic graphene sheets by viscoPasternak medium", Compos. Part B: Eng., 78, 377-383. https://doi.org/10.1016/j.compositesb.2015.04.008   DOI
8 Zghal, S., Frikha, A. and Dammak, F. (2018), "Mechanical buckling analysis of functionally graded power-based and carbon nanotubes-reinforced composite plates and curved panels", Compos. Part B: Eng., 150, 165-183. https://doi.org/10.1016/j.compositesb.2018.05.037   DOI
9 Zhang, J. and Wang, C. (2012), "Vibrating piezoelectric nanofilms as sandwich nanoplates", J. Appl. Phys., 111(9), 094303. https://doi.org/10.1063/1.4709754   DOI
10 Henderson, J.P., Plummer, A. and Johnston, N. (2018), "An electro-hydrostatic actuator for hybrid active-passive vibration isolation", Int. J. Hydromechatron., 1(1), 47-71.   DOI
11 Khorramian, K., Maleki, S., Shariati, M. and Ramli Sulong, N. H. (2015), "Behavior of Tilted Angle Shear Connectors", PLoS One, 10(12), e0144288. http://dx.doi.org/10.1371/journal.pone.0144288   DOI
12 Hosseini, M. and Jamalpoor, A. (2015), "Analytical solution for thermomechanical vibration of double-viscoelastic nanoplatesystems made of functionally graded materials", J. Thermal Stress., 38(12), 1428-1456. https://doi.org/10.1080/01495739.2015.1073986   DOI
13 Jalali, A., Daie, M., Nazhadan, S.V.M., Kazemi-Arbat, P. and Shariati, M. (2012), "Seismic performance of structures with prebent strips as a damper", Int. J. Phys. Sci., 7(26), 4061-4072. http://dx.doi.org/10.5897/IJPS11.1324
14 Khorami, M., Alvansazyazdi, M., Shariati, M., Zandi, Y., Jalali, A. and Tahir, M. (2017), "Seismic performance evaluation of buckling restrained braced frames (BRBF) using incremental nonlinear dynamic analysis method (IDA)." http://dx.doi.org/10.12989/eas.2017.13.6.531   DOI
15 Lee, C.Y. and Kim, J.H. (2013), "Hygrothermal postbuckling behavior of functionally graded plates", Compos. Struct., 95, 278-282. https://doi.org/10.1016/j.compstruct.2012.07.010   DOI
16 Li, L., Hu, Y. and Ling, L. (2015), "Flexural wave propagation in small-scaled functionally graded beams via a nonlocal strain gradient theory", Compos. Struct., 133, 1079-1092. https://doi.org/10.1016/j.compstruct.2015.08.014   DOI
17 Heidari, R.M., Alimirzaei, S. and Torabi, K. (2015), "Analytical solution for free vibration of functionally graded carbon nanotubes (FG-CNT) reinforced double-layered nano-plates resting on elastic medium".
18 Shao, Z., Wakil, K., Usak, M., Amin Heidari, M., Wang, B. and Simoes, R. (2018), "Kriging Empirical Mode Decomposition via support vector machine learning technique for autonomous operation diagnosing of CHP in microgrid", Appl. Thermal Eng., 145, 58-70. https://doi.org/10.1016/j.applthermaleng.2018.09.028   DOI
19 Shah, S., Sulong, N.R., Shariati, M., Khan, R. and Jumaat, M. (2016b), "Behavior of steel pallet rack beam-to-column connections at elevated temperatures", Thin-Wall. Struct., 106, 471-483. https://doi.org/10.1016/j.tws.2016.05.021   DOI
20 Shahabi, S., Sulong, N., Shariati, M., Mohammadhassani, M. and Shah, S. (2016), "Numerical analysis of channel connectors under fire and a comparison of performance with different types of shear connectors subjected to fire", Steel Compos. Struct., Int. J., 20(3), 651-669. https://doi.org/10.12989/scs.2016.20.3.651   DOI
21 Shariati, A., Ramli Sulong, N.H., Suhatril, M. and Shariati, M. (2012a), "Investigation of channel shear connectors for composite concrete and steel T-beam", Int. J. Phys. Sci., 7(11), 1828-1831. https://doi.org/10.5897/IJPS11.1604
22 Shariati, M., Ramli Sulong, N., Suhatril, M., Shariati, A., Arabnejad Khanouki, M. and Sinaei, H. (2012b), "Fatigue energy dissipation and failure analysis of channel shear connector embedded in the lightweight aggregate concrete in composite bridge girders", Procedings of the 5th International Conference on Engineering Failure Analysis, Hilton Hotel, The Hague, The Netherlands, July.
23 Shariati, M., Shariati, A., Sulong, N.R., Suhatril, M. and Khanouki, M.A. (2014), "Fatigue energy dissipation and failure analysis of angle shear connectors embedded in high strength concrete", Eng. Fail. Anal., 41, 124-134. https://doi.org/10.1016/j.engfailanal.2014.02.017   DOI
24 Shariati, M., Trung, N.T., Wakil, K., Mehrabi, P., Safa, M. and Khorami, M. (2019a), "Estimation of moment and rotation of steel rack connections using extreme learning machine", Steel Compos. Struct., Int. J., 31(5), 427-435. https://doi.org/10.12989/scs.2019.31.5.427
25 Luo, Z., Sinaei, H., Ibrahim, Z., Shariati, M., Jumaat, Z., Wakil, K., Pham, B.T., Mohamad, E.T. and Khorami, M. (2019), "Computational and experimental analysis of beam to column joints reinforced with CFRP plates", Steel Compos. Struct., Int. J., 30(3), 271-280. http://dx.doi.org/10.12989/scs.2019.30.3.271
26 Li, D., Toghroli, A., Shariati, M., Sajedi, F., Bui, D.T., Kianmehr, P., Mohamad, E.T. and Khorami, M. (2019), "Application of polymer, silica-fume and crushed rubber in the production of Pervious concrete", Smart Struct. Syst., Int. J., 23(2), 207-214. http://dx.doi.org/10.12989/sss.2019.23.2.207
27 Lei, Y., Adhikari, S. and Friswell, M.I. (2013), "Vibration of nonlocal Kelvin-Voigt viscoelastic damped Timoshenko beams", Int. J. Eng. Sci., 66, 1-13. https://doi.org/10.1016/j.ijengsci.2013.02.004   DOI
28 Lim, C.W. (2010), "On the truth of nanoscale for nanobeams based on nonlocal elastic stress field theory: equilibrium, governing equation and static deflection", Appl. Mathe. Mech., 31(1), 37-54. https://doi.org/10.1007/s10483-010-0105-7   DOI
29 Mansouri, M.H. and Shariyat, M. (2015), "Biaxial thermomechanical buckling of orthotropic auxetic FGM plates with temperature and moisture dependent material properties on elastic foundations", Compos. Part B: Eng., 83, 88-104. https://doi.org/10.1016/j.compositesb.2015.08.030   DOI
30 Mansouri, I., Shariati, M., Safa, M., Ibrahim, Z., Tahir, M. and Petkovic, D. (2019), "Analysis of influential factors for predicting the shear strength of a V-shaped angle shear connector in composite beams using an adaptive neuro-fuzzy technique", J. Intel. Manuf., 30(3), 1247-1257. https://doi.org/10.1007/s10845-017-1306-6   DOI
31 Mahmoud, S.R., Chaht, F.L., Kaci, A., Houari, M.S.A., Tounsi, A. and Beg, O.A. (2015), "Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect", Steel Compos. Struct., Int. J., 18(2), 425-442. https://doi.org/10.12989/scs.2015.18.2.425   DOI
32 Shi, X., Jaryani, P., Amiri, A., Rahimi, A. and Malekshah, E.H. (2019b), "Heat transfer and nanofluid flow of free convection in a quarter cylinder channel considering nanoparticle shape effect", Powder Technol., 346, 160-170. https://doi.org/10.1016/j.powtec.2018.12.071   DOI
33 Shariati, M., Safaei Faegh, S., Mehrabi, P., Bahavarnia, S., Zandi, Y., Rezaee Masoom, D., Toghroli, A., Trung, N.T. and Salih, M.N. (2019b), "Numerical study on the structural performance of corrugated low yield point steel plate shear walls with circular openings", Steel Compos. Struct., Int. J., 33(4), 569-581. https://doi.org/10.12989/scs.2019.33.4.569
34 Shariati, M., Mafipour, M.S., Mehrabi, P., Shariati, A., Toghroli, A., Trung, N.T. and Salih, M.N.A. (2020), "A novel approach to predict shear strength of tilted angle connectors using artificial intelligence techniques", Eng. Comput., 1-21. https://doi.org/10.1007/s00366-019-00930-x
35 Shi, X., Hassanzadeh-Aghdam, M.K. and Ansari, R. (2019a), "Viscoelastic analysis of silica nanoparticle-polymer nanocomposites", Compos. Part B: Eng., 158, 169-178. https://doi.org/10.1016/j.compositesb.2018.09.084   DOI
36 Simsek, M. and Yurtcu, H.H. (2013), "Analytical solutions for bending and buckling of functionally graded nanobeams based on the nonlocal Timoshenko beam theory", Compos. Struct., 97, 378-386. https://doi.org/10.1016/j.compstruct.2012.10.038   DOI
37 Sobhy, M. (2015a), "Hygrothermal vibration of orthotropic double-layered graphene sheets embedded in an elastic medium using the two-variable plate theory", Appl. Mathe. Model., 40(1), 85-99. https://doi.org/10.1016/j.apm.2015.04.037   DOI
38 Rahmani, O. and Pedram, O. (2014), "Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory", Int. J. Eng. Sci., 77, 55-70. https://doi.org/10.1016/j.ijengsci.2013.12.003   DOI
39 Mantari, J.L., Bonilla, E.M. and Soares, C.G. (2014), "A new tangential-exponential higher order shear deformation theory for advanced composite plates", Compos. Part B: Eng., 60, 319-328. https://doi.org/10.1016/j.compositesb.2013.12.001   DOI
40 Milovancevic, M., Marinovic, J.S., Nikolic, J., Kitic, A., Shariati, M., Trung, N.T., Wakil, K. and Khorami, M. (2019), "UML diagrams for dynamical monitoring of rail vehicles", Physica A: Statist. Mech. Applicat., 53, 121169. https://doi.org/10.1016/j.physa.2019.121169
41 Safa, M., Shariati, M., Ibrahim, Z., Toghroli, A., Baharom, S.B., Nor, N.M. and Petkovic, D. (2016), "Potential of adaptive neuro fuzzy inference system for evaluating the factors affecting steelconcrete composite beam's shear strength", Steel Compos. Struct., Int. J., 21(3), 679-688. https://doi.org/10.12989/scs.2016.21.3.679   DOI
42 Safa, M., Sari, P.A., Shariat, M., Suhatril, M., Trung, N.T., Wakil, K. and Khorami, M. (2020), "Development of neuro-fuzzy and neuro-bee predictive models for prediction of the safety factor of eco-protection slopes", Physica A. https://doi.org/10.1016/j.physa.2019.124046
43 Sedghi, Y., Zandi, Y., Shariati, M., Ahmadi, E., Moghimi Azar, V., Toghroli, A., Safa, M., Tonnizam Mohamad, E., Khorami, M. and Wakil, K. (2018), "Application of ANFIS technique on performance of C and L shaped angle shear connectors", Smart Struct. Syst., Int. J., 22(3), 335-340. http://dx.doi.org/10.12989/sss.2018.22.3.335
44 Shah, S., Sulong, N.R., Jumaat, M. and Shariati, M. (2016a), "State-of-the-art review on the design and performance of steel pallet rack connections", Eng. Fail. Anal., 66, 240-258. https://doi.org/10.1016/j.engfailanal.2016.04.017   DOI
45 Vinyas, M. and Kattimani, S.C. (2018a), "Investigation of the effect of BaTiO3/$CoFe_{2}O_{4}$ particle arrangement on the static response of magneto-electro-thermo-elastic plates", Compos. Struct., 185(1), 51-64. https://doi.org/10.1016/j.compstruct.2017.10.073   DOI
46 Sobhy, M. (2015b), "Thermoelastic Response of FGM Plates with Temperature-Dependent Properties Resting on Variable Elastic Foundations", Int. J. Appl. Mech., 7(6), 1550082. https://doi.org/10.1142/S1758825115500829   DOI
47 Suhatril, M., Osman, N., Sari, P.A., Shariati, M. and Marto, A. (2019), "Significance of surface eco-protection techniques for cohesive soils slope in Selangor, Malaysia", Geotech. Geol. Eng., 37(3), 2007-2014. https://doi.org/10.1007/s10706-018-0740-3   DOI
48 Tanaka, Y. (2018), "Active vibration compensator on moving vessel by hydraulic parallel mechanism", Int. J. Hydromechatro., 1(3), 350-359. https://doi.org/10.1504/IJHM.2018.094887   DOI
49 Trabelsi, S, Frikha, A., Zghal, S. and Dammak, F. (2019), "A modified FSDT-based four nodes finite shell element for thermal buckling analysis of functionally graded plates and cylindrical shells", Eng. Struct., 178, 444-459. https://doi.org/10.1016/j.engstruct.2018.10.047   DOI
50 Trung, N.T., Shahgoli, A.F., Zandi, Y., Shariati, M., Wakil, K., Safa, M. and Khorami, M. (2019), "Moment-rotation prediction of precast beam-to-column connections using extreme learning machine", Struct. Eng. Mech., Int. J., 70(5), 639-647. https://doi.org/10.12989/sem.2019.70.5.639
51 Vinyas, M. and Kattimani, S.C. (2018b), "Hygrothermal analysis of magneto-electro-elastic plate using 3D finite element analysis", Compos. Struct., 180, 617-637. https://doi.org/10.1016/j.compstruct.2017.08.015   DOI
52 Ebrahimi, F. and Barati, M.R. (2017a), "Hygrothermal effects on vibration characteristics of viscoelastic FG nanobeams based on nonlocal strain gradient theory", Compos. Struct., 159, 433-444. https://doi.org/10.1016/j.compstruct.2016.09.092   DOI
53 Akbarzadeh, A.H. and Chen, Z.T. (2013), "Hygrothermal stresses in one-dimensional functionally graded piezoelectric media in constant magnetic field", Compos. Struct., 97, 317-331. https://doi.org/10.1016/j.compstruct.2012.09.058   DOI
54 Alzahrani, E.O., Zenkour, A.M. and Sobhy, M. (2013), "Small scale effect on hygro-thermo-mechanical bending of nanoplates embedded in an elastic medium", Compos. Struct., 105, 163-172. https://doi.org/10.1016/j.compstruct.2013.04.045   DOI
55 Vinyas, M. and Kattimani, S.C. (2018c), "Finite element evaluation of free vibration characteristics of magneto-electroelastic rectangular plates in hygrothermal environment using higher-order shear deformation theory", Compos. Struct., 202, 1339-1352. https://doi.org/10.1016/j.compstruct.2018.06.069   DOI
56 Barati, M.R., Zenkour, A.M. and Shahverdi, H. (2016), "Thermomechanical buckling analysis of embedded nanosize FG plates in thermal environments via an inverse cotangential theory", Compos. Struct., 141, 203-212. https://doi.org/10.1016/j.compstruct.2016.01.056   DOI
57 Daie, M., Jalali, A., Suhatril, M., Shariati, M., Arabnejad Khanouki, M. M., Shariati, A. and Kazemi-Arbat, P. (2011), "A new finite element investigation on pre-bent steel strips as damper for vibration control", Int. J. Phys. Sci., 6(36), 8044-8050. https://doi.org/10.5897/IJPS11.1585
58 Ebrahimi, F. and Barati, M.R. (2016a), "Wave propagation analysis of quasi-3D FG nanobeams in thermal environment based on nonlocal strain gradient theory", Appl. Phys. A, 122(9), 843. https://doi.org/10.1007/s00339-016-0368-1   DOI
59 Ebrahimi, F. and Barati, M.R. (2016b), "Size-dependent dynamic modeling of inhomogeneous curved nanobeams embedded in elastic medium based on nonlocal strain gradient theory", Proceedings of the Institution of Mechanical Engineers, Part C: J. Mech. Eng. Sci., 0954406216668912. https://doi.org/10.1177/0954406216668912
60 Vinyas, M., Kattimani, S.C., Loja, M.A.R. and Vishwas, M. (2018), "Effect of $BaTiO_{3}/CoFe_{2}O_{4}$micro-topological textures on the coupled static behaviour of magneto-electro-thermoelastic beams in different thermal environment", Mater. Res. Express, 5, 125702. https://doi.org/10.1088/2053-1591/aae0c8   DOI
61 Xu, C., Zhang, X., Haido, J.H., Mehrabi, P., Shariati, A., Mohamad, E.T., Hoang, N. and Wakil, K. (2019), "Using genetic algorithms method for the paramount design of reinforced concrete structures", Struct. Eng. Mech., Int. J., 71(5), 503-513. https://doi.org/10.12989/sem.2019.71.5.503
62 Yan, Z. and Jiang, L.Y. (2012), "Vibration and buckling analysis of a piezoelectric nanoplate considering surface effects and in-plane constraints", Proceedings of the Royal Society A: Mathematical, Phys. Eng. Sci., 468(2147), 3458-3475. https://doi.org/10.1098/rspa.2012.0214   DOI
63 Zandi, Y., Shariati, M., Marto, A., Wei, X., Karaca, Z., Dao, D., Toghroli, A., Hashemi, M.H., Sedghi, Y. and Wakil, K. (2018), "Computational investigation of the comparative analysis of cylindrical barns subjected to earthquake", Steel Compos. Struct., Int. J., 28(4), 439-447. http://dx.doi.org/10.12989/scs.2018.28.4.439
64 Zemri, A., Houari, M.S.A., Bousahla, A.A. and Tounsi, A. (2015), "A mechanical response of functionally graded nanoscale beam: an assessment of a refined nonlocal shear deformation theory beam theory", Struct. Eng. Mech., Int. J., 54(4), 693-710. https://doi.org/10.12989/sem.2015.54.4.693   DOI
65 Zenkour, A. (2013), "Hygrothermal analysis of exponentially graded rectangular plates", J. Mech. Mater. Struct., 7(7), 687-700. 1 https://doi.org/100.2140/jomms.2012.7.687   DOI
66 Ebrahimi, F. and Salari, E. (2015a), "Effect of various thermal loadings on buckling and vibrational characteristics of nonlocal temperature-dependent FG nanobeams", Mech. Adv. Mater. Struct., 23(12), 1379-1397. https://doi.org/10.1080/15376494.2015.1091524   DOI
67 Ebrahimi, F. and Barati, M.R. (2017b), "A nonlocal strain gradient refined beam model for buckling analysis of size-dependent shear-deformable curved FG nanobeams", Compos. Struct., 159, 174-182. https://doi.org/10.1016/j.compstruct.2016.09.058   DOI