Numerical study on nonlinear vibration of FG-GNPRC circular membrane with dielectric properties

References

• Y. Lu, Q. Shao, M. Amabili, H. Yue, and H. Guo, Nonlinear vibration control effects of membrane structures with in-plane PVDF actuators: A parametric study, Int. J. Non-Linear Mech., vol. 122, pp. 103466, 2020. DOI: 10.1016/j.ijnonlinmec.2020.103466.
   Web of Science ®Google Scholar
• C. Qi, D. Han, and T. Shinshi, A MEMS-based electromagnetic membrane actuator utilizing bonded magnets with large displacement, Sens. Actuat. A Phys., vol. 330, pp. 112834, 2021. DOI: 10.1016/j.sna.2021.112834.
   Web of Science ®Google Scholar
• B. Wang, J. Wang, Y. Lou, S. Ding, X. Jin, F. Liu, Z. Xu, J. Ma, Z. Sun, and X. Li, Halloysite nanotubes strengthened electrospinning composite nanofiber membrane for on-skin flexible pressure sensor with high sensitivity, good breathability, and round-the-clock antibacterial activity, Appl. Clay Sci., vol. 228, pp. 106650, 2022. DOI: 10.1016/j.clay.2022.106650.
   Web of Science ®Google Scholar
• B. Li, J. Zhang, L. Liu, H. Chen, S. Jia, and D. Li, Modeling of dielectric elastomer as electromechanical resonator, J. Appl. Phys., vol. 116, no. 12, pp. 124509, 2014. DOI: 10.1063/1.4896584.
   Web of Science ®Google Scholar
• J. Gade, R. Kemmler, M. Drass, and J. Schneider, Enhancement of a meso-scale material model for nonlinear elastic finite element computations of plain-woven fabric membrane structures, Eng. Struct., vol. 177, pp. 668–681, 2018. DOI: 10.1016/j.engstruct.2018.04.039.
   Web of Science ®Google Scholar
• Z. Wang, F. Yan, H. Pei, K. Yan, Z. Cui, B. He, K. Fang, and J. Li, Environmentally-friendly halloysite nanotubes@chitosan/polyvinyl alcohol/non-woven fabric hybrid membranes with a uniform hierarchical porous structure for air filtration, J. Membr. Sci., vol. 594, pp. 117445, 2020. DOI: 10.1016/j.memsci.2019.117445.
   Web of Science ®Google Scholar
• N. Sheng, M. Zhang, Q. Song, H. Zhang, S. Chen, H. Wang, and K. Zhang, Enhanced salinity gradient energy harvesting with oppositely charged bacterial cellulose-based composite membranes, Nano Energy, vol. 101, pp. 107548, 2022. DOI: 10.1016/j.nanoen.2022.107548.
   Web of Science ®Google Scholar
• G. Huang, Y. Dai, Y. Wu, C. Yang, and Y. Xia, Energy harvesting from the gust response of membrane wing using piezoelectrics, Aerosp. Sci. Technol., vol. 122, pp. 107433, 2022. DOI: 10.1016/j.ast.2022.107433.
   Web of Science ®Google Scholar
• A. Cugno, S. Palumbo, L. Deseri, M. Fraldi, and C. Majidi, Role of nonlinear elasticity in mechanical impedance tuning of annular dielectric elastomer membranes, Extreme Mech. Lett., vol. 13, pp. 116–125, 2017. DOI: 10.1016/j.eml.2017.03.001.
   Web of Science ®Google Scholar
• A. Kumar Srivastava and S. Basu, Modelling the performance of devices based on thin dielectric elastomer membranes, Mech. Mater., vol. 137, pp. 103136, 2019. DOI: 10.1016/j.mechmat.2019.103136.
   Web of Science ®Google Scholar
• T. Hiruta, N. Hosoya, S. Maeda, and I. Kajiwara, Experimental validation of vibration control in membrane structures using dielectric elastomer actuators in a vacuum environment, Int. J. Mech. Sci., vol. 191, pp. 106049, 2021. DOI: 10.1016/j.ijmecsci.2020.106049.
   Web of Science ®Google Scholar
• K.L. Routray, S. Saha, and D. Behera, Nanosized CoFe2O4-graphene nanoplatelets with massive dielectric enhancement for high frequency device application, Mater. Sci. Eng. B Adv., vol. 257, pp. 114548, 2020. DOI: 10.1016/j.mseb.2020.114548.
   Google Scholar
• Ö.B. Mergen, E. Umut, E. Arda, and S. Kara, A comparative study on the AC/DC conductivity, dielectric and optical properties of polystyrene/graphene nanoplatelets (PS/GNP) and multi-walled carbon nanotube (PS/MWCNT) nanocomposites, Polym. Test., vol. 90, pp. 106682, 2020. DOI: 10.1016/j.polymertesting.2020.106682.
   Web of Science ®Google Scholar
• J. Liu, M. Zhang, L. Guan, C. Wang, L. Shi, Y. Jin, C. Han, J. Wang, and Z. Han, Preparation of BT/GNP/PS/PVDF composites with controllable phase structure and dielectric properties, Polym. Test., vol. 100, pp. 107236, 2021. DOI: 10.1016/j.polymertesting.2021.107236.
   Web of Science ®Google Scholar
• K. Mehmood, A.U. Rehman, N. Amin, N.A. Morley, and M.I. Arshad, Graphene nanoplatelets/Ni-Co-Nd spinel ferrite composites with improving dielectric properties, J. Alloy. Compd., vol. 930, pp. 167335, 2023. DOI: 10.1016/j.jallcom.2022.167335.
   Web of Science ®Google Scholar
• X. Xia, Y. Wang, Z. Zhong, and G.J. Weng, A frequency-dependent theory of electrical conductivity and dielectric permittivity for graphene-polymer nanocomposites, Carbon., vol. 111, pp. 221–230, 2017. DOI: 10.1016/j.carbon.2016.09.078.
   Web of Science ®Google Scholar
• D. Wijerathne, Y. Gong, S. Afroj, N. Karim, and C. Abeykoon, Mechanical and thermal properties of graphene nanoplatelets-reinforced recycled polycarbonate composites, Int. J. Lightweight Mater. Manuf., vol. 6, no. 1, pp. 117–128, 2023. DOI: 10.1016/j.ijlmm.2022.09.001.
   Google Scholar
• R. Sun, L. Li, C. Feng, S. Kitipornchai, and J. Yang, Tensile behavior of polymer nanocomposite reinforced with graphene containing defects, Eur. Polym. J., vol. 98, pp. 475–482, 2018. DOI: 10.1016/j.eurpolymj.2017.11.050.
   Web of Science ®Google Scholar
• A. Mahmun and S. Kirtania, Evaluation of elastic properties of graphene nanoplatelet/epoxy nanocomposites, Mater, Today: Proc., vol. 44, pp. 1531–1535, 2021. DOI: 10.1016/j.matpr.2020.11.735.
   Google Scholar
• C. Feng, S. Kitipornchai, and J. Yang, Nonlinear free vibration of functionally graded polymer composite beams reinforced with graphene nanoplatelets (GPLs), Eng. Struct., vol. 140, pp. 110–119, 2017. DOI: 10.1016/j.engstruct.2017.02.052.
   Web of Science ®Google Scholar
• C. Feng, S. Kitipornchai, and J. Yang, Nonlinear bending of polymer nanocomposite beams reinforced with non-uniformly distributed graphene platelets (GPLs), Compos. Part B Eng., vol. 110, pp. 132–140, 2017. DOI: 10.1016/j.compositesb.2016.11.024.
   Web of Science ®Google Scholar
• C. Zhang and Q. Wang, Free vibration analysis of elastically restrained functionally graded curved beams based on the Mori–Tanaka scheme, Mech. Adv. Mater. Struct., vol. 26, no. 21, pp. 1821–1831, 2019. DOI: 10.1080/15376494.2018.1452318.
   Google Scholar
• M. Ganapathi, B. Anirudh, C. Anant, and O. Polit, Dynamic characteristics of functionally graded graphene reinforced porous nanocomposite curved beams based on trigonometric shear deformation theory with thickness stretch effect, Mech. Adv. Mater. Struct., vol. 28, no. 7, pp. 741–752, 2021. DOI: 10.1080/15376494.2019.1601310.
   Web of Science ®Google Scholar
• C.H. Thai, A. Ferreira, and P. Phung-Van, Size dependent free vibration analysis of multilayer functionally graded GPLRC microplates based on modified strain gradient theory, Compos. Part B Eng., vol. 169, pp. 174–188, 2019. DOI: 10.1016/j.compositesb.2019.02.048.
   Google Scholar
• C.H. Thai, A. Ferreira, T. Tran, and P. Phung-Van, A size-dependent quasi-3D isogeometric model for functionally graded graphene platelet-reinforced composite microplates based on the modified couple stress theory, Compos. Struct., vol. 234, pp. 111695, 2020.
   Google Scholar
• C.H. Thai and P. Phung-Van, A meshfree approach using naturally stabilized nodal integration for multilayer FG GPLRC complicated plate structures, Eng. Anal. Bound. Elem., vol. 117, pp. 346–358, 2020. DOI: 10.1016/j.enganabound.2020.04.001.
   Google Scholar
• P. Phung-Van, Q.X. Lieu, A. Ferreira, and C.H. Thai, A refined nonlocal isogeometric model for multilayer functionally graded graphene platelet-reinforced composite nanoplates, Thin-Walled Struct., vol. 164, pp. 107862, 2021.
   Web of Science ®Google Scholar
• F. Allahkarami, S. Satouri, and M.M. Najafizadeh, Mechanical buckling of two-dimensional functionally graded cylindrical shells surrounded by Winkler–Pasternak elastic foundation, Mech. Adv. Mater. Struct., vol. 23, no. 8, pp. 873–887, 2016. DOI: 10.1080/15376494.2015.1036181.
   Google Scholar
• R. Gunes, M. Hakan, M.K. Apalak, and J.N. Reddy, Numerical investigation on normal and oblique ballistic impact behavior of functionally graded plates, Mech. Adv. Mater. Struct., vol. 28, no. 20, pp. 2114–2130, 2021. DOI: 10.1080/15376494.2020.1717023.
   Google Scholar
• Y. Wang, C. Feng, J. Yang, D. Zhou, and S. Wang, Nonlinear vibration of FG-GPLRC dielectric plate with active tuning using differential quadrature method, Comput. Meth. Appl. Mech. Eng., vol. 379, pp. 113761, 2021. DOI: 10.1016/j.cma.2021.113761.
   Web of Science ®Google Scholar
• W.Q. Chen and Z.G. Bian, Wave propagation in submerged functionally graded piezoelectric cylindrical transducers with axial polarization, Mech. Adv. Mater. Struct., vol. 18, no. 1, pp. 85–93, 2011. DOI: 10.1080/15376494.2010.519240.
   Google Scholar
• C. Anitescu, E. Atroshchenko, N. Alajlan, and T. Rabczuk, Artificial neural network methods for the solution of second order boundary value problems, Comput. Mater. Con., vol. 59, pp. 345–359, 2019.
   Web of Science ®Google Scholar
• E. Samaniego C. Anitescu, S. Goswami, V.M. Nguyen-Thanh, H. Guo, K. Hamdia, X. Zhuang, and T. Rabczuk, An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications, Comput. Meth. Appl. Mech. Eng., vol. 362, pp. 112790, 2020. DOI: 10.1016/j.cma.2019.112790.
   Web of Science ®Google Scholar
• X. Zhuang, H. Guo, N. Alajlan, H. Zhu, and T. Rabczuk, Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning, Eur. J. Mech. A-Solid, vol. 87, pp. 104225, 2021. DOI: 10.1016/j.euromechsol.2021.104225.
   Web of Science ®Google Scholar
• Y. Wang, C. Feng, Z. Zhao, F. Lu, and J. Yang, Torsional buckling of graphene platelets (GPLs) reinforced functionally graded cylindrical shell with cutout, Compos. Struct., vol. 197, pp. 72–79, 2018. DOI: 10.1016/j.compstruct.2018.05.056.
   Web of Science ®Google Scholar
• G.J. Weng, A dynamical theory for the Mori–Tanaka and Ponte Castañeda–Willis estimates, Mech. Mater., vol. 42, no. 9, pp. 886–893, 2010. DOI: 10.1016/j.mechmat.2010.06.004.
   Web of Science ®Google Scholar
• Y. Su, J.J. Li, and G.J. Weng, Theory of thermal conductivity of graphene-polymer nanocomposites with interfacial Kapitza resistance and graphene-graphene contact resistance, Carbon., vol. 137, pp. 222–233, 2018. DOI: 10.1016/j.carbon.2018.05.033.
   Web of Science ®Google Scholar
• J. Wang, J.J. Li, G.J. Weng, and Y. Su, The effects of temperature and alignment state of nanofillers on the thermal conductivity of both metal and nonmetal based graphene nanocomposites, Acta Mater., vol. 185, pp. 461–473, 2020. DOI: 10.1016/j.actamat.2019.12.032.
   Web of Science ®Google Scholar
• R. Hashemi and G.J. Weng, A theoretical treatment of graphene nanocomposites with percolation threshold, tunneling-assisted conductivity and microcapacitor effect in AC and DC electrical settings, Carbon, vol. 96, pp. 474–490, 2016. DOI: 10.1016/j.carbon.2015.09.103.
   Web of Science ®Google Scholar
• Y. Wang, J.W. Shan, and G.J. Weng, Percolation threshold and electrical conductivity of graphene-based nanocomposites with filler agglomeration and interfacial tunneling, J. Appl. Phys., vol. 118, no. 6, pp. 065101, 2015. DOI: 10.1063/1.4928293.
   Web of Science ®Google Scholar
• Y. Wang, G.J. Weng, S.A. Meguid, and A.M. Hamouda, A continuum model with a percolation threshold and tunneling-assisted interfacial conductivity for carbon nanotube-based nanocomposites, J. Appl. Phys., vol. 115, no. 19, pp. 193706, 2014. DOI: 10.1063/1.4878195.
   Web of Science ®Google Scholar
• J.C. Dyre, A simple model of ac hopping conductivity in disordered solids, Phys. Lett., vol. 108, no. 9, pp. 457–461, 1985. DOI: 10.1016/0375-9601(85)90039-8.
   Web of Science ®Google Scholar
• B. Li, H. Chen, J. Qiang, S. Hu, Z. Zhu, and Y. Wang, Effect of mechanical pre-stretch on the stabilization of dielectric elastomer actuation, J. Phys. D: Appl. Phys., vol. 44, no. 15, pp. 155301, 2011. DOI: 10.1088/0022-3727/44/15/155301.
   Web of Science ®Google Scholar
• P.B. Gonçalves, R.M. Soares, and D. Pamplona, Nonlinear vibrations of a radially stretched circular hyperelastic membrane, J. Sound Vib., vol. 327, no. 1–2, pp. 231–248, 2009. DOI: 10.1016/j.jsv.2009.06.023.
   Web of Science ®Google Scholar
• L.R.G. Treloar, The Physics of Rubber Elasticity, Oxford University Press, New York, NY, 1958.
   Google Scholar
• A.P.S. Selvadurai, Deflections of a rubber membrane, J. Mech. Phys. Solids., vol. 54, no. 6, pp. 1093–1119, 2006. DOI: 10.1016/j.jmps.2006.01.001.
   Web of Science ®Google Scholar
• A.N. Gent, Elastic instabilities in rubber, Int. J. Nonlin. Mech., vol. 40, no. 2–3, pp. 165–175, 2005. DOI: 10.1016/j.ijnonlinmec.2004.05.006.
   Web of Science ®Google Scholar
• D.C. Pamplona, P.B. Gonçalves, and S.R.X. Lopes, Finite deformations of cylindrical membrane under internal pressure, Int. J. Mech. Sci., vol. 48, no. 6, pp. 683–696, 2006. DOI: 10.1016/j.ijmecsci.2005.12.007.
   Web of Science ®Google Scholar
• Z. Suo, Theory of dielectric elastomers, Acta Mech. Solida Sin., vol. 23, no. 6, pp. 549–578, 2010. DOI: 10.1016/S0894-9166(11)60004-9.
   Web of Science ®Google Scholar
• X. Wang, Differential Quadrature and Differential Quadrature Based Element Methods: Theory and Applications, Butterworth-Heinemann, Oxford, UK, 2015.
   Google Scholar
• F. He, S. Lau, H.L. Chan, and J. Fan, High dielectric permittivity and low percolation threshold in nanocomposites based on poly(vinylidene fluoride) and exfoliated graphite nanoplates, Adv. Mater., vol. 21, no. 6, pp. 710–715, 2009. DOI: 10.1002/adma.200801758.
   Web of Science ®Google Scholar
• K. Mrabet, E. Zaouali, and F. Najar, Internal resonance and nonlinear dynamics of a dielectric elastomer circular membrane, Int. J. Solids Struct., vol. 236–237, pp. 111338, 2022. DOI: 10.1016/j.ijsolstr.2021.111338.
   Web of Science ®Google Scholar