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http://dx.doi.org/10.12989/cac.2020.26.1.075

Free vibration of sandwich micro-beam with porous foam core, GPL layers and piezo-magneto-electric facesheets via NSGT  

Mohammadimehr, Mehdi (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
Firouzeh, Saeed (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
Pahlavanzadeh, Mahsa (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
Heidari, Yaser (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
Irani-Rahaghi, Mohsen (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
Publication Information
Computers and Concrete / v.26, no.1, 2020 , pp. 75-94 More about this Journal
Abstract
The aim of this research is to investigate free vibration of a novel five layer Timoshenko microbeam which consists of a transversely flexible porous core made of Al-foam, two graphen platelets (GPL) nanocomposite reinforced layers to enhance the mechanical behavior of the structure as well as two piezo-magneto-electric face sheets layers. This microbeam is subjected to a thermal load and resting on Pasternak's foundation. To accomplish the analysis, constitutive equations of each layer are derived by means of nonlocal strain gradient theory (NSGT) to capture size dependent effects. Then, the Hamilton's principle is employed to obtain the equations of motion for five layer Timoshenko microbeam. They are subsequently solved analytically by applying Navier's method so that discretized governing equations are determined in form of dynamic matrix giving the possibility to gain the natural frequencies of the Timoshenko microbeam. Eventually, after a validation study, the numerical results are presented to study and discuss the influences of various parameters such as nonlocal parameter, strain gradient parameter, aspect ratio, porosity, various volume fraction and distributions of graphene platelets, temperature change and elastic foundation coefficients on natural frequencies of the sandwich microbeam.
Keywords
free vibration; five layers Timoshenko sandwich microbeam; transversely flexible porous core; GPL; piezo-magneto-electric; nonlocal strain gradient theory;
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Times Cited By KSCI : 59  (Citation Analysis)
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84 Hamdia, M., Ghasemi, Kh., Zhuang, H., Alajlan, X.N. and Rabczuk, T. (2018), "Sensitivity and uncertainty analysis for flexoelectric nanostructures", Comput. Meth. Appl. Mech. Eng., 337, 95-109. https://doi.org/10.1016/j.cma.2018.03.016.   DOI
85 Heydari, A. (2018), "Exact vibration and buckling analyses of arbitrary gradation of nano-higher order rectangular beam", Steel Compos Struct., 28(5), 589-606. https://doi.org/10.12989/scs.2018.28.5.589.   DOI
86 Hussain, M., Nawaz Naeem, M., Tounsi, A. and Taj, M. (2019), "Nonlocal effect on the vibration of armchair and zigzag SWCNTs with bending rigidity", Adv. Nano Res., 7(6), 431-442. https://doi.org/10.12989/anr.2019.7.6.431.   DOI
87 Jandaghian, A. and Rahmani, O. (2016), "Free vibration analysis of magneto-electro-thermo-elastic nanobeams resting on a Pasternak foundation", Smart Mater. Struct., 25(3), 035023. https://doi.org/10.1088/0964-1726/25/3/035023.   DOI
88 Sahmani, S., Mohammadi Aghdam, M. and Rabczuk, T. (2018c), "Nonlocal strain gradient plate model for nonlinear large-amplitude vibrations of functionally graded porous micro/nano-plates reinforced with GPLs", Compos. Struct., 198, 51-62. https://doi.org/10.1016/j.compstruct.2018.05.031   DOI
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93 Sheng, G.G. and Wang, X. (2013), "Nonlinear vibration control of functionally graded laminated cylindrical shells", Compos. B. Eng., 52, 1-10. https://doi.org/10.1016/j.compositesb.2013.03.008.   DOI
94 Dong, Y., Li, X., Gao, K., Li, Y. and Yang, J. (2020b), "Harmonic resonances of graphene-reinforced nonlinear cylindrical shells: effects of spinning motion and thermal environment", Nonlinear Dyn., 99, 981-1000. https://doi.org/10.1007/s11071-019-05297-8.   DOI
95 Chaabane, L.A., Bourada, F., Sekkal, M., Zerouati, S., Zaoui, F.Z., Tounsi, A., Derras, A., Bousahla, A.A. and Tounsi, A. (2019), "Analytical study of bending and free vibration responses of functionally graded beams resting on elastic foundation", Struct. Eng. Mech., 71(2), 185-196. https://doi.org/10.12989/sem.2019.71.2.185.   DOI
96 Chan, D.Q., Nguyen, P.D., Quang, V.D., Anh, V.T.T. and Duc, N.D. (2018), "Nonlinear buckling and post-buckling of functionally graded CNTs reinforced composite truncated conical shells subjected to axial load", Steel Compos. Struct., 31(3), 243-259. https://doi.org/10.12989/scs.2019.31.3.243.   DOI
97 Chen, D. Yang, J. and Kitipornchai, S. (2017), "Nonlinear vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams", Compos. Sci. Technol., 142, 235-245. https://doi.org/10.1016/j.compscitech.2017.02.008.   DOI
98 Dong, Y., Li, Y., Li, X. and Yang, J. (2020a), "Active control of dynamic behaviors of graded graphene reinforced cylindrical shells with piezoelectric actuator/sensor layers", App. Math. Model., 82, 252-270. https://doi.org/10.1016/j.apm.2020.01.054.   DOI
99 Dong, Y.H., Li, Y.H., Chen, D. and Yang, J. (2018a), "Vibration characteristics of functionally graded graphene reinforced porous nanocomposite cylindrical shells with spinning motion", Compos. B. Eng., 145, 1-13. https://doi.org/10.1016/j.compositesb.2018.03.009.   DOI
100 Dong, Y.H., Zhu, B., Wang, Y., He, L.W., Li, Y.H. and Yang, J. (2019), "Analytical prediction of the impact response of graphene reinforced spinning cylindrical shells under axial and thermal loads", Appl. Math. Model., 71, 331-348. https://doi.org/10.1016/j.apm.2019.02.024.   DOI
101 Javani, R., Rabani Bidgoli, M. and Kolahchi, R. (2019), "Buckling analysis of plates reinforced by Graphene platelet based on Halpin-Tsai and Reddy theories", Steel Compos. Struct., Int. J., 31(4), 419-427. https://doi.org/10.12989/scs.2019.31.4.419.
102 Kaddari, M., Kaci, Bousahla, A.A., Tounsi, A. Bourada, F., Tounsi, A., Bedia, E.A.A. and Al-Osta, M.A. (2020), "A study on the structural behaviour of functionally graded porous plates on elastic foundation using a new quasi-3D model: Bending and Free vibration analysis", Comput. Concrete, 25(1), 37-57. https://doi.org/10.12989/cac.2020.25.1.037.   DOI
103 Karami, B., Janghorban, M. and Tounsi, A. (2019), "Galerkin's approach for buckling analysis of functionally graded anisotropic nanoplates/different boundary conditions", Eng. Comput., 35, 1297-1316. https://doi.org/10.1007/s00366-018-0664-9.   DOI
104 Karami, B., Janghorban, M. and Tounsi, A. (2019), "Galerkin's approach for buckling analysis of functionally graded anisotropic nanoplates/different boundary conditions", Eng. Comput., 35, 1297-1316. https://doi.org/10.1007/s00366-018-0664-9.   DOI
105 Karimiasl, M., Kargarfard, K. and Ebrahimi, F. (2019), "Buckling of magneto-electro-hygro-thermal piezoelectric nanoplates system embedded in a visco-Pasternak medium based on nonlocal theory", Microsyst. Techol., 25(3), 1031-1042. https://doi.org/10.1007/s00542-018-4148.   DOI
106 Karroubi, R. and Irani-Rahaghi, M. (2019), "Rotating sandwich cylindrical shells with an FGM core and two FGPM layers: free vibration analysis", Appl. Math. Mech., 40(4), 563-578. https://doi.org/10.1016/j.compositesb.2013.03.008.   DOI
107 Mohammadimehr, M. and Mostafavifar, M. (2016), "Free vibration analysis of sandwich plate with a transversely flexible core and FG-CNTs reinforced nanocomposite face sheets subjected to magnetic field and temperature-dependent material properties using SGT", Compos. B. Eng., 94, 253-270. https://doi.org/10.1016/j.compositesb.2016.03.030.   DOI
108 Medani, M., Benahmed, A., Zidour, M., Heireche, H., Tounsi, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2019), "Static and dynamic behavior of (FG-CNT) reinforced porous sandwich plate", Steel Compos. Struct., 32(5), 595-610. https://doi.org/10.12989/scs.2019.32.5.595.   DOI
109 Mirjavadi, S., Afshari, B.M., Barati, M.R. and Hamouda, A.M.S. (2019), "Nonlinear free and forced vibrations of graphene nanoplatelet reinforced microbeams with geometrical imperfection", Microsyst. Technol., 25, 3137-3150. https://doi.org/10.1007/s00542-018-4277-4.   DOI
110 Mohammadimehr, M. and Alimirzaei, S. (2016), "Nonlinear static and vibration analysis of Euler-Bernoulli composite beam model reinforced by FG-SWCNT with initial geometrical imperfection using FEM", Struct. Eng. Mech., 59(3), 431-454. https://doi.org/10.12989/sem.2016.59.3.431.   DOI
111 Mohammadimehr, M. and Shahedi, S. (2017), "High-order buckling and free vibration analysis of two types sandwich beam including AL or PVC-foam flexible core and CNTs reinforced nanocomposite face sheets using GDQM", Compos. B. Eng., 108, 91-107. https://doi.org/10.1016/j.compositesb.2016.09.040.   DOI
112 Tlidji, Y., Zidour, M., Draiche, K., Safa, A., Bourada, M., Tounsi, A., Bousahla, A.A. and Mahmoud, S.R. (2019), "Vibration analysis of different material distributions of functionally graded microbeam", Struct. Eng. Mech., 69(6), 637-649. https://doi.org/10.12989/sem.2019.69.6.637.   DOI
113 Shokravi, M. (2018), "Dynamic buckling of smart sandwich beam subjected to electric field based on hyperbolic piezoelasticity theory", Smart Struct. Syst., 22(3), 327-334. https://doi.org/10.12989/sss.2018.22.3.327.   DOI
114 Simsek, M. (2019), "Some closed-form solutions for static, buckling, free and forced vibration of functionally graded (FG) nanobeams using nonlocal strain gradient theory", Compos. Struct., 224, 111041. https://doi.org/10.1016/j.compstruct.2019.111041.   DOI
115 Khaniki, H.B. Hashemi, H. and Nezamabadi, A. (2018), "Buckling analysis of nonuniform nonlocal strain gradient beams using generalized differential quadrature method", Alex. Eng. J., 57(3), 1361-1368. https://doi.org/10.1016/j.aej.2017.06.001.   DOI
116 Mohammadimehr, M., Atifeh, S.J. and Navi, B.R. (2018), "Stress and free vibration analysis of piezoelectric hollow circular FG-SWBNNTs reinforced nanocomposite plate based on modified couple stress theory subjected to thermo-mechanical loadings", J. Vib. Control, 24(15), 3471-3486. https://doi.org/10.1177/1077546317706887.   DOI
117 Singh, A.K., Negi, A. and Koley, S. (2019), "Influence of surface irregularity on dynamic response induced due to a moving load on functionally graded piezoelectric material substrate", Smart Struct. Syst., 23(1), 31-44. https://doi.org/10.12989/sss.2019.23.1.031.   DOI
118 Sobhy, M. (2018), "Magneto-electro-thermal bending of FG-graphene reinforced polymer doubly-curved shallow shells with piezoelectromagnetic faces", Compos. Struct., 203, 844-860. https://doi.org/10.1016/j.compstruct.2018.07.056.   DOI
119 Tahouneh, V. (2018), "Vibration analysis of sandwich sectorial plates considering FG wavy CNT-reinforced face sheets", Steel Compos. Struct., 28(5), 541-557. https://doi.org/10.12989/scs.2018.28.5.541.   DOI
120 Thanh, C. V., Tran, L., Bui, T.Q., Nguyen, H.X. and Abdel-Wahab, M. (2019), "Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates", Compos. Struct., 221, 110838. https://doi.org/10.1016/j.compstruct.2019.04.010.   DOI
121 Vu-Bac, N., Lahmer, T., Zhuang, X., Nguyen-Thoi, T. and Rabczuk, T. (2016), "A software framework for probabilistic sensitivity analysis for computationally expensive models", Adv. Eng. Soft., 100, 19-31. https://doi.org/10.1016/j.advengsoft.2016.06.005.   DOI
122 Dong, Y.H., Zhu, B., Wang, Y., Li, Y.H. and Yang, J. (2018b), "Nonlinear free vibration of graded graphene reinforced cylindrical shells: Effects of spinning motion and axial load", J. Sound Vib., 437, 79-96. https://doi.org/10.1016/j.jsv.2018.08.036.   DOI