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http://dx.doi.org/10.12989/anr.2020.9.4.221

Nonlocal dynamic modeling of mass sensors consisting of graphene sheets based on strain gradient theory  

Mehrez, Sadok (College of Engineering at Al Kharj, Prince Sattam bin Abdulaziz University)
Karati, Saeed Ali (Department of Civil Engineering, Faculty of Engineering, Universiti Malaysia)
DolatAbadi, Parnia Taheri (Department of Mechanical, Industrial and Aerospace Engineering, Concordia University)
Shah, S.N.R. (Department of Civil Engineering, Mehran University of Engineering and Technology, SZAB Campus)
Azam, Sikander (Division of Computational Physics, Institute for Computational Science, Ton Duc Thang University)
Khorami, Majid (Facultad de Arquitectura y Urbanismo, Universidad UTE)
Assilzadeh, Hamid (Institute of Research and Development, Duy Tan University)
Publication Information
Advances in nano research / v.9, no.4, 2020 , pp. 221-235 More about this Journal
Abstract
The following composition establishes a nonlocal strain gradient plate model that is essentially related to mass sensors laying on Winkler-Pasternak medium for the vibrational analysis from graphene sheets. To achieve a seemingly accurate study of graphene sheets, the posited theorem actually accommodates two parameters of scale in relation to the gradient of the strain as well as non-local results. Model graphene sheets are known to have double variant shear deformation plate theory without factors from shear correction. By using the principle of Hamilton, to acquire the governing equations of a non-local strain gradient graphene layer on an elastic substrate, Galerkin's method is therefore used to explicate the equations that govern various partition conditions. The influence of diverse factors like the magnetic field as well as the elastic foundation on graphene sheet's vibration characteristics, the number of nanoparticles, nonlocal parameter, nanoparticle mass as well as the length scale parameter had been evaluated.
Keywords
vibration; mass sensor; refined plate theory; graphene sheets; nonlocal strain gradient;
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80 Naghipour, M., Yousofizinsaz, G. and Shariati, M. (2020b), "Experimental study on axial compressive behavior of welded built-up CFT stub columns made by cold-formed sections with different welding lines", Steel Compos. Struct., Int. J., 34(3), 347-359. https://doi.org/10.12989/scs.2020.34.3.347.
81 Shen, Z.B., Tang, H.L., Li, D.K. and Tang, G.J. (2012), "Vibration of single-layered graphene sheet-based nanomechanical sensor via nonlocal Kirchhoff plate theory", Comput. Mater. Sci., 61, 200-205. https://doi.org/10.1016/j.commatsci.2012.04.003.   DOI
82 Ebrahimi, F. and Barati, M.R. (2016f), "Static stability analysis of smart magneto-electro-elastic heterogeneous nanoplates embedded in an elastic medium based on a four-variable refined plate theory", Smart Mater. Struct., 25(10), 105014. https://doi.org/10.1088/0964-1726/25/10/105014.   DOI
83 Ebrahimi, F. and Barati, M.R. (2016g), "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
84 Ebrahimi, F. and Barati, M.R. (2016h), "Size-dependent dynamic modeling of inhomogeneous curved nanobeams embedded in elastic medium based on nonlocal strain gradient theory", Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci., 231(23), 4457-4469. https://doi.org/10.1177/0954406216668912.   DOI
85 Shi, J., Chu, L. and, Braun, R. (2019), "A kriging surrogate model for uncertainty analysis of graphene based on a finite element method", Int. J. Mol. Sci., 20(9), 2355. https://doi.org/10.3390/ijms20092355.   DOI
86 Sinaei, H., Jumaat, M.Z. and Shariati, M. (2011), "Numerical investigation on exterior reinforced concrete beam-column joint strengthened by composite fiber reinforced polymer (CFRP)", Int. J. Phys. Sci., 6(28), 6572-6579. https://doi.org/10.5897/IJPS11.1225.
87 Sinaei, H., Shariati, M., Abna, A.H., Aghaei, M. and Shariati, A. (2012), "Evaluation of reinforced concrete beam behaviour using finite element analysis by ABAQUS", Sci. Res. Essays, 7(21), 2002-2009. https://doi.org/10.5897/SRE11.1393.
88 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
89 Narendar, S. and Gopalakrishnan, S. (2012), "Scale effects on buckling analysis of orthotropic nanoplates based on nonlocal two-variable refined plate theory", Acta Mech., 223(2), 395-413. https://doi.org/10.1007/s00707-011-0560-5.   DOI
90 Sobhy, M. (2016), "Hygrothermal vibration of orthotropic double-layered graphene sheets embedded in an elastic medium using the two-variable plate theory", Appl. Math. Model., 40(1), 85-99. https://doi.org/10.1016/j.apm.2015.04.037.   DOI
91 Tahmasbi, F., Maleki, S., Shariati, M., Ramli Sulong, N.H. and Tahir, M.M. (2016), "Shear capacity of C-shaped and L-shaped angle shear connectors", PLoS One, 11(8), e0156989. https://doi.org/10.1371/journal.pone.0156989.   DOI
92 Toghroli, A. (2015), "Applications of the ANFIS and LR models in the prediction of shear connection in composite beams/Ali Toghroli", M.Sc. Dissertation, University of Malaya, Kuala Lumpur, Malaysia.
93 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
94 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
95 Ebrahimi, F. and Salari, E. (2015), "Thermo-mechanical vibration analysis of a single-walled carbon nanotube embedded in an elastic medium based on higher-order shear deformation beam theory", J. Mech. Sci. Technol., 29(9), 3797-3803. https://doi.org/10.1007/s12206-015-0826-2.   DOI
96 Paknahad, M., Shariati, M., Sedghi, Y., Bazzaz, M. and Khorami, M. (2018), "Shear capacity equation for channel shear connectors in steel-concrete composite beams", Steel Compos. Struct., Int. J., 28(4), 483-494. https://doi.org/10.12989/scs.2018.28.4.483.
97 Nasrollahi, S., Maleki, S., Shariati, M., Marto, A. and Khorami, M. (2018), "Investigation of pipe shear connectors using push out test." Steel Compos. Struct., Int. J., 27(5), 537-543. http://dx.doi.org/10.12989/scs.2018.27.5.537.
98 Nosrati, A., Zandi, Y., Shariati, M., Khademi, K., Darvishnezhad Aliabad, M., Marto, A., Mu'azu, M., Ghanbari, E., Mandizadeh, M.B. and Shariati, A. (2018), "Portland cement structure and its major oxides and fineness", Smart Struct. Syst., Int. J., 22(4), 425-432. https://doi.org/10.12989/sss.2018.22.4.425.
99 Obhy, M. (2014), "Thermomechanical bending and free vibration of single-layered graphene sheets embedded in an elastic medium", Physica E Low Dimens. Syst. Nanostruct., 56, 400-409. https://doi.org/10.1016/j.physe.2013.10.017.   DOI
100 Pradhan, S.C. and Kumar, A. (2011), "Vibration analysis of orthotropic graphene sheets using nonlocal elasticity theory and differential quadrature method", Compos. Struct., 93(2), 774-779. https://doi.org/10.1016/j.compstruct.2010.08.004.   DOI
101 Pradhan, S.C. and Murmu, T. (2009), "Small scale effect on the buckling of single-layered graphene sheets under biaxial compression via nonlocal continuum mechanics", Comput. Mater. Sci., 47(1), 268-274. https://doi.org/10.1016/j.commatsci.2009.08.001.   DOI
102 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
103 Ebrahimi, F. and Shafiei, N. (2016), "Influence of initial shear stress on the vibration behavior of single-layered graphene sheets embedded in an elastic medium based on Reddy's higher-order shear deformation plate theory", Mech. Adv. Mater. Struct., 24(9), 761-772. https://doi.org/10.1080/15376494.2016.1196781.   DOI
104 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
105 Ebrahimi, F., Karimiasl, M. and Mahesh, V. (2019), "Chaotic dynamics and forced harmonic vibration analysis of magneto-electro-viscoelastic multiscale composite nanobeam", Eng. Comput., 2019, 1-14. https://doi.org/10.1007/s00366-019-00865-3.
106 Eringen, A.C. and Edelen, D.G.B. (1972), "On nonlocal elasticity", Int. J. Eng. Sci., 10(3), 233-248. https://doi.org/10.1016/0020-7225(72)90039-0.   DOI
107 Toghroli, A., Mohammadhassani, M., Suhatril, M., Shariati, M. and Ibrahim, Z. (2014), "Prediction of shear capacity of channel shear connectors using the ANFIS model", Steel Compos. Struct., Int. J., 17(5), 623-639. http://dx.doi.org/10.12989/scs.2014.17.5.623.   DOI
108 Toghroli, A., Suhatril, M., Ibrahim, Z., Safa, M., Shariati, M. and Shamshirband, S. (2016), "Potential of soft computing approach for evaluating the factors affecting the capacity of steel-concrete composite beam", J. Intell. Manuf., 29(8), 1793-1801. https://doi.org/10.1007/s10845-016-1217-y.   DOI
109 Razavian, L., Naghipour, M., Shariati, M. and Safa, M. (2020), "Experimental study of the behavior of composite timber columns confined with hollow rectangular steel sections under compression", Struct. Eng. Mech., Int. J., 74(1), 145-156. https://doi.org/10.12989/sem.2020.74.1.145.
110 Qi, C.C. (2020), "Big data management in the mining industry", Int. J. Min. Metall. Mater., 27(2), 131-139. https://doi.org/10.1007/s12613-019-1937-z.   DOI
111 Trung, N.T., Shahgoli, A.F., Zandi, Y., Shariati, M., Wakil, K., Safa, M. and Khorami, M. (2019a), "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.
112 Toghroli, A., Shariati, M., Karim, M.R. and Ibrahim, Z. (2017), "Investigation on composite polymer and silica fume-rubber aggregate pervious concrete", Proceedings of the Fifth International Conference on Advances in Civil, Structural and Mechanical Engineering, Zurich, Switzerland, September.
113 Toghroli, A., Darvishmoghaddam, E., Zandi, Y., Parvan, M., Safa, M., Abdullahi, M.A.M., Heydari, A., Wakil, K., Gebreel, S.A. and Khorami, M. (2018a), "Evaluation of the parameters affecting the Schmidt rebound hammer reading using ANFIS method", Comput. Concrete., Int. J., 21(5), 525-530. https://doi.org/10.12989/cac.2018.21.5.525.
114 Toghroli, A., Shariati, M., Sajedi, F., Ibrahim, Z., Koting, S., Mohamad, E.T. and Khorami, M. (2018b), "A review on pavement porous concrete using recycled waste materials", Smart Struct. Syst., Int. J., 22(4), 433-440. https://doi.org/10.12989/sss.2018.22.4.433.
115 Trung, N.T., Alemi, N., Haido, J.H., Shariati, M., Baradaran, S. and Yousif, S.T. (2019b), "Reduction of cement consumption by producing smart green concretes with natural zeolites", Smart Struct. Syst., Int. J., 24(3), 415-425. https://doi.org/10.12989/sss.2019.24.3.415.
116 Farajpour, A., Shahidi, A.R., Mohammadi, M. and Mahzoon, M. (2012), "Buckling of orthotropic micro/nanoscale plates under linearly varying in-plane load via nonlocal continuum mechanics", Compos. Struct., 94(5), 1605-1615. https://doi.org/10.1016/j.compstruct.2011.12.032.   DOI
117 Georgantzinos, S.K. (2017), "A new finite element for an efficient mechanical analysis of graphene structures using computer aided design/computer aided engineering techniques", J. Comput. Theor. Nanosci., 14, 5347-5354. https://doi.org/10.1166/jctn.2017.6949.   DOI
118 Safa, M., Maleka, A., Arjomand, M.A., Khorami, M. and Shariati, M. (2019), "Strain rate effects on soil-geosynthetic interaction in fine-grained soil", Geomech. Eng., Int. J., 19(6), 533-542. https://doi.org/10.12989/gae.2019.19.6.533.
119 Sadeghi Chahnasir, E, Zandi, Y., Shariati, M., Dehghani, E., Toghroli, A., Mohamed, E.T., Shariati, A., Safa, M., Wakil, K. and Khorami, M. (2018), "Application of support vector machine with firefly algorithm for investigation of the factors affecting the shear strength of angle shear connectors", Smart Struct. Syst., Int. J., 22(4), 413-424. http://dx.doi.org/10.12989/sss.2018.22.4.413.
120 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 steel-concrete 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
121 Safa, M., Sari, P.A., Shariati, 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, 550, 124046. https://doi.org/10.1016/j.physa.2019.124046.   DOI
122 Heydari, A. and Shariati, M. (2018), "Buckling analysis of tapered BDFGM nano-beam under variable axial compression resting on elastic medium", Struct. Eng. Mech., Int. J., 66(6), 737-748. https://doi.org/10.12989/sem.2018.66.6.737.
123 Georgantzinos, S.K., Giannopoulos, G.I. and Anifantis, N.K. (2016), "Coupled thermomechanical behavior of graphene using the spring- based finite element approach", J. Appl. Phys., 120(1), 014305. https://doi.org/10.1063/1.4957289.   DOI
124 Hamidian, M., Shariati, M., Arabnejad, M. and Sinaei, H. (2011), "Assessment of high strength and light weight aggregate concrete properties using ultrasonic pulse velocity technique", Int. J. Phys. Sci., 6(22), 5261-5266. https://doi.org/10.5897/IJPS11.1081.
125 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
126 Hosseinpour, E., Baharom, S., Badaruzzaman, W.H.W., Shariati, M. and Jalali, A. (2018), "Direct shear behavior of concrete filled hollow steel tube shear connector for slim-floor steel beams", Steel Compos. Struct., Int. J., 26(4), 485-499. https://doi.org/10.12989/scs.2018.26.4.485.
127 Wei, X., Shariati, M., Zandi, Y., Pei, S., Jin, Z., Gharachurlu, S., Abdullahi, M.M., Tahir, M.M. and Khorami, M. (2018), "Distribution of shear force in perforated shear connectors", Steel Compos. Struct., Int. J., 27(3), 389-399. http://dx.doi.org/10.12989/scs.2018.27.3.389.
128 Willam, K.J. (1975), "Constitutive model for the triaxial behaviour of concrete", Proc. Int. Assoc. Bridge Struct. Eng., 19(3), 1-30.
129 Sari, P.A., Suhatril, M., Osman, N., Mu'azu, M., Dehghani, H., Sedghi, Y., Safa, M., Hasanipanah, M., Wakil, K. and Khorami, M. (2018), "An intelligent based-model role to simulate the factor of safe slope by support vector regression", Eng. Comput., 35(4), 1521-1531. https://doi.org/10.1007/s00366-018-0677-4.
130 Sajedi, F. and Shariati, M. (2019), "Behavior study of NC and HSC RCCs confined by GRP casing and CFRP wrapping", Steel Compos. Struct., Int. J., 30(5), 417-432. https://doi.org/10.12989/scs.2019.30.5.417.
131 Sedghi, Y., Zandi, Y., Shariati, M., Ahmadi, E., Azar, V.M., Toghroli, A., Safa, M., Mohamad, E.T., 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. https://doi.org/10.12989/sss.2018.22.3.335.
132 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. https://doi.org/10.12989/scs.2018.28.4.439.
133 Shariati, A., Sulong, N.H.R., Suhatril, M. and Shariati, M. (2012b), "Various types of shear connectors in composite structures: A review", Int. J. Phys. Sci., 7(22), 2876-2890. https://doi.org/10.5897/IJPSx11.004.
134 Shariati, M., Ramli Sulong, N.H. and Arabnejad Khanouki, M.M. (2012c), "Experimental assessment of channel shear connectors under monotonic and fully reversed cyclic loading in high strength concrete", Mater. Des., 34, 325-331. https://doi.org/10.1016/j.matdes.2011.08.008.   DOI
135 Shariati, M., Ramli Sulong, N.H., Suhatril, M., Shariati, A., Arabnejad Khanouki, M.M. and Sinaei, H. (2012d), "Behaviour of c-shaped angle shear connectors under monotonic and fully reversed cyclic loading: An experimental study", Mater. Des., 41, 67-73. https://doi.org/10.1016/j.matdes.2012.04.039.   DOI
136 Xie, Q., Sinaei, H., Shariati, M., Khorami, M., Mohamad, E.T. and Bui, D.T. (2019), "An experimental study on the effect of CFRP on behavior of reinforce concrete beam column connections", Steel Compos. Struct., Int. J., 30(5), 433-441. https://doi.org/10.12989/scs.2019.30.5.433.
137 Xu, C., Zhang, X., Haido, J.H., Mehrabi, P., Shariati, A., Mohamad, E.T., Nguyen, H. 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.
138 Zenkour, A.M. (2016), "Nonlocal transient thermal analysis of a single-layered graphene sheet embedded in viscoelastic medium", Physica E Low Dimens. Syst. Nanostruct., 79, 87-97. https://doi.org/10.1016/j.physe.2015.12.003.   DOI
139 Zhao, X., Fourie, A. and Qi, C.C. (2019), "An analytical solution for evaluating the safety of an exposed face in a paste backfill stope incorporating the arching phenomenon", Int. J. Min. Metall. Mater., 26(10), 1206-1216. https://doi.org/10.1007/s12613-019-1885-7.   DOI
140 Zhao, X., Fourie, A. and Qi, C.C. (2020a), "Mechanics and safety issues in tailing-based backfill: A review", Int. J. Min. Metall. Mater., 27(9), 1165-1178. https://doi.org/10.1007/s12613-020-2004-5.   DOI
141 Ismail, M., Shariati, M., Awal, A.A., Chiong, C.E., Chahnasir, E.S, Porbar, A., Heydari, A. and Khorami, M. (2018), "Strengthening of bolted shear joints in industrialized ferrocement construction", Steel Compos. Struct., Int. J., 28(6), 681-690. https://doi.org/10.12989/scs.2018.28.6.681.
142 Shah, S., Sulong, N.H.R., Khan, R., Jumaat, M. and Shariati, M. (2016c), "Behavior of industrial steel rack connections", Mech. Syst. Signal Process, 70, 725-740. https://doi.org/10.1016/j.ymssp.2015.08.026.   DOI
143 Shah, S., Sulong, N.H.R., Shariati, M. and Jumaat, M.Z. (2015), "Steel rack connections: Identification of most influential factors and a comparison of stiffness design methods", PloS One, 10(10), e0139422. https://doi.org/10.1371/journal.pone.0139422.   DOI
144 Shah, S., Sulong, N.H.R., Shariati, M., Khan, R. and Jumaat, M. (2016a), "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
145 Shah, S., Sulong, N.H.R., Jumaat, M. and Shariati, M. (2016b), "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