Nonlinear Dynamic Response of Nano-composite Sandwich Annular Spherical Shells
Main Article Content
Abstract
Abstract: This research considers the nonlinear dynamic response of functionally graded carbon nanotube reinforced composite (FG-CNTRC) sandwich annular spherical shells supported by Pasternak foundation by using the analytical approach. Unlike those discussed in previous studies, the composite considered in this study has three layers: FG-CNTRC layer – homogeneous core – FG-CNTRC layer. Several examples are considered to analyse the behaviour of this sandwich-structured composite. The classical shell theory (CST) is used to derive theoretical formulation delineating nonlinear dynamic response of FG-CNTRC sandwich annular spherical shells. The numerical results explain the effect of material, geometrical parameters, and elastic foundations on the nonlinear dynamic response of the annular spherical shell.
Keywords:
Keywords: Nonlinear dynamic response, annular spherical shell, sandwich structures, FG-CNTRC.
References
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[17] M. Mirzaei, Y Kiani. Thermal buckling of temperature dependent FG-CNT reinforced composite conical shells. Aerosp. Sci. Tech. 47 (2015) 42-53.
[2] H.S. Shen, Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments, Compos. Struct., 91 (1) (2009) 9-19.
[3] A. Farzam, B. Hassani, Thermal and mechanical buckling analysis of FG carbon nanotube reinforced composite plates using modified couple stress theory and isogeometric approach, Compos. Struct. 206 (2018) 774-790.
[4] L.T.N. Trang, H. Tung, Buckling and postbuckling of carbon nanotube-reinforced composite cylindrical panels subjected to axial compression in thermal environments, Vietnam Journal of Mechanics 40 (1) (2018) 47-61.
[5] R. Zhong, Q. Wang, J. Tang, C. Shuai, B. Qin, Vibration analysis of functionally graded carbon nanotube reinforced composites (FG-CNTRC) circular, annular and sector plates, Compos. Struct. 194 (2018) 49-67.
[6] A. Frikha, S. Zghal, F. Dammak, Dynamic analysis of functionally graded carbon nanotubes-reinforced plate and shell structures using a double directors finite shell element, Aerosp. Sci. Technol. 78 (2018) 438-451.
[7] N.V. Thanh, N.D. Khoa, N.D. Tuan, P. Tran, N.D. Duc, Nonlinear dynamic response and vibration of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) shear deformable plates with temperature-dependent material properties and surrounded on elastic foundations, J. Therm. Stress. 40 (10) (2017) 1254-1274.
[8] R. Moradi-Dastjerdi, F. Aghadavoudi, Static analysis of functionally graded nano-composite sandwich plates reinforced by defected CNT, Compos. Struct. 200 (2018) 839-848.
[9] Z.X. Wang, H.S. Shen, Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets, Compos Part B-Eng. 43 (2012) 411- 421.
[10] H.S. Shen, H. Wang, D.Q. Yang, Vibration of thermally postbuckled sandwich plates with nanotube-reinforced composite face sheets resting on elastic foundations, Int. J. Mech. SCI. 124-125 (2018) 253- 262.
[11] S.K. Jalali, M Heshmati, Buckling analysis of circular sandwich plates with tapered cores and functionally graded carbon nanotubes-reinforced composite face sheets, Thin-walled struct. 100 (2016) 14-24.
[12] R.S. Alwar, M.C. Narasimhan, Axisymmetric non-linear analysis of laminated orthotropic annular spherical shells, Int. J. Nonlinear. Mech. 27 (1992) 611-622
[13] P.C. Dumir, G.P. Dube, Mallick A. Axisymmetric buckling of laminated thick annular spherical cap. Commun. Nonlinear. Sci .Numer. Simul. 10 (2015) 191-204.
[14] H. Li, F. Pang, H. Chen. A semi-analytical approach to analyze vibration characteristics of uniform and stepped annular-spherical shells with general boundary conditions. Eur. J. Mech. A Solids. 74 (2019) 48-65.
[15] N.D. Duc, D.H. Bich, V.T. Thuy Anh. On the nonlinear stability of eccentrically stiffened functionally graded annular spherical segment shells. Thin-Walled Struct., 106 (2016) 258-267.
[16] V.T. Thuy Anh, D.H. Bich, N.D. Duc. Nonlinear stability analysis of thin FGM annular spherical shells on elastic foundations under external pressure and thermal loads. Eur. J. Mech. A Solids. 50 (2015) 28-38.
[17] M. Mirzaei, Y Kiani. Thermal buckling of temperature dependent FG-CNT reinforced composite conical shells. Aerosp. Sci. Tech. 47 (2015) 42-53.