과제정보
The authors would like to thank the reviewers for their valuable comments and suggestions to improve the clarity of this work, Also, they would like to thank the Iranian Nanotechnology Development Committee for their financial support and the University of Kashan for supporting this work by Grant No. 682561/26.
참고문헌
- Akgoz, B. and Civalek, O. (2011), "Nonlinear vibration analysis of laminated plates resting on nonlinear two-parameters elastic foundations", Steel Compos. Struct., 11(5), 403-421, https://doi.org/10.12989/scs.2011.11.5.403.
- Akhavan Alavi, S.M., Mohammadimehr, M. and Edjtahed, S.H. (2019), "Active control of micro Reddy beam integrated with functionally graded nanocomposite sensor and actuator based on linear quadratic regulator method", Euro. J. Mech. / A Solids, 74, 449-461. https://doi.org/10.1016/j.euromechsol.2018.12.008.
- Alimirzaei, S., Mohammadimehr, M. and Tounsi, A. (2019), "Nonlinear analysis of viscoelastic micro-composite beam with geometrical imperfection using FEM: MSGT electro-magneto-elastic bending, buckling and vibration solutions", Struct. Eng. Mech., 71(5), 485-502. https://doi.org/10.12989/sem.2019.71.5.485.
- Amabili, M. (2018a), "Nonlinear damping in large-amplitude vibrations: modeling and experiments", Nonlinear Dyn., 93, 5-18. https://doi.org/10.1007/s11071-017-3889-z.
- Amabili, M. (2018b), "Nonlinear damping in nonlinear vibrations of rectangular plates: Derivation from viscoelasticity and experimental validation", J. Mech. Phys. Solids, 118, 275-292. https://doi.org/10.1016/j.jmps.2018.06.004.
- Ashby, M.F., Evans, T., Fleck, N.A., Hutchinson, J., Wadley, H. and Gibson, L. (2000), Metal Foams: A Design Guide, Butterworth-Heinemann, Boston, U.S.A.
- Banhart, J. (2001), "Manufacture, characterization and application of cellular metals and metal foams", Prog. Mater. Sci., 46, 559-632. https://doi.org/10.1016/S0079-6425(00)00002-5.
- Barari, A., Omidvar, M., Ghotbi Abdoul, R. and Ganji, D.D. (2008), "Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations", Acta Appl. Math., 104, 161-171. https://doi.org/10.1007/s10440-008-9248-9.
- Belbachir, N., Draich, K., Bousahla, A.A., Tounsi, A. and Mohammadimehr, M. (2019), "Bending analysis of antisymmetric cross-ply laminated plates under nonlinear thermal and mechanical loadings", Steel Compos Struct., 33(1), 913-924, https://doi.org/10.12989/scs.2019.33.1.081.
- Chen, D., Kitipornchai, S. and Yang, J. (2016), "Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core", Thin-Walled Struct., 107, 39-48. https://doi.org/10.1016/j.tws.2016.05.025.
- Chen, S., Mitsume, N., Bui, T.Q., Zang, M. and Yoshimura, S. (2019), "Development of two intrinsic cohesive zone models for progressive interfacial cracking of laminated composites with matching and non-matching cohesive elements", Compos. Struct., 229, 111406. https://doi.org/10.1016/j.compstruct.2019.111406.
- Davies, G. and Zhen, S. (1983), "Metallic foams: their production, properties and applications", J. Mater. Sci., 18, 1899-1911. https://doi.org/10.1007/BF00554981.
- Deng, E.F., Zong, L. and Ding, Y. (2019), "Numerical and analytical study on initial stiffness of corrugated steel plate shear walls in modular construction", Steel Compos. Struct., 32(3), 347-359, https://doi.org/10.12989/scs.2019.32.3.347.
- Ebrahimi, F. and Barati, M.R. (2018), "Nonlocal strain gradient theory for damping vibration analysis of viscoelastic inhomogeneous nano-scale beams embedded in visco-Pasternak foundation", J Vib. Control, 24(10), 2080-2095. https://doi.org/10.1177/1077546316678511.
- Ghorbanbour Arani, A. and Zamani, M.H. (2018), "Nonlocal free vibration analysis of FG-Porous shear and normal deformable sandwich nanoplate with piezoelectric face sheets resting on silica aerogel foundation", Arab J. Sci. Eng., 43, 4675-4688. https://10.1007/s13369-017-3035-8.
- Ghorbanbour Arani, A., Baba Akbar Zarei, H. and Pourmousa, P. (2019), "Free vibration response of FG porous sandwich micro-beam with flexoelectric face-sheets resting on modified silica aerogel foundation", Int. J. Appl. Mech., 11(9), https://doi.org/10.1142/S175882511950087X.
- Ghorbanbour Arani, A., Khani, M. and Khodami Maraghi, Z. (2018), "Dynamic analysis of a rectangular porous plate resting on an elastic foundation using high-order shear deformation theory", J. Vib. Control., 24(16), 3698-3713. https://doi.org/10.1177/1077546317709388.
- Ghorbanbour Arani, A., Khoddami Maraghi, Z., Khani, M. and Alinaghian, I. (2017), "Free vibration of embedded porous plate using third-order shear deformation and poroelasticity theories", J. Eng., https://doi.org/10.1155/2017/1474916.
- Hatami, M., Jing, D., Song, D., Sheikholeslami, M. and Ganji, D.D. (2015), "Heat transfer and flow analysis of nanofluid flow between parallel plates in presence of variable magnetic field using HPM", J Magn. Mater., 396, 275-282. https://doi.org/10.1016/j.jmmm.2015.08.043.
- He, Y., Li, Y., Liu, z. and Liew, K.M. (2017), "Buckling analysis and buckling control of thin films on shape memory polymer substrate", Euro. J. Mech./ A Solids, 66, 356-369. https://doi.org/10.1016/j.euromechsol.2017.08.006.
- Hoshyar, H.A., Ganji, D.D. and Majidian, A.R. (2015), "Thermal performance of porous fins with temperature-dependent heat generation via the homotopy perturbation method and collocation method", J. Appl. Math. Comput. Mech., 14(4), 53-65. https://doi.org/10.17512/jamcm.2015.4.06.
- Jasion, P., Magnucka-Blandzi, E., Szyc, W. and Magnucki, K. (2012), "Global and local buckling of sandwich circular and beam-rectangular plates with metal foam core", Thin-Walled Struct., 61, 154-161. https://doi.org/10.1016/j.tws.2012.04.013.
- Javanmard, M., Bayat, M. and Ardakani, A. (2013), "Nonlinear vibration of Euler-Bernoulli beams resting on linear elastic foundation", Steel Compos. Struct., 15(4), 439-449. https://doi.org/10.12989/scs.2013.15.4.439.
- Jing, L., Wang, Z., Ning, J. and Zhao, X. (2011), "The dynamic response of sandwich beams with open-cell metal foam cores", Compos. Part B: Eng., 42, 1-10. https://doi.org/10.1016/j.compositesb.2010.09.024.
- Kazemi-Sangsereki, M., Ganji, D.D., Gorji-Bandpy, M. and Mostofi, M. (2011), "Homotopy perturbation method for a nonlinear unforced and undamped duffing equation", Int. Review Mech. Eng., 5(3), 436-441. https://doi.org/10.5923/j.jmea.20160605.03.
- Kim, H.Y. and Hwang, W. (2002), "Effect of debonding on natural frequencies and frequency response functions of honeycomb sandwich beams", Compos. Struct., 55, 51-62. https://doi.org/10.1016/S0263-8223(01)00136-2.
- Lefebvre, L-P., Banhart, J. and Dunand, D. (2008), "Porous metals and metallic foams: current status and recent developments", Advan. Eng. Mater., 10, 775-787. https://doi.org/10.1002/adem.200800241.
- Lei, J., Yun, L., Bui, T.Q. (2017), "Numerical simulation of crack growth in piezoelectric structures by BEM", Eng. Anal. Bound. Elem., 85, 30-42. https://doi.org/10.1016/j.enganabound.2017.09.015.
- Lim, O.K., Choi, S., Kang, S., Kwon, M. and Choi, J.Y. (2019), "Experimental studies on the behaviour of headed shear studs for composite beams in fire", Steel Compos. Struct., 32(6), 743-752. https://doi.org/10.3850/978-981-08-9247-0_rp066-icsas11.
- McCormack, T., Miller, R., Kesler, O. and Gibson, L. (2001), "Failure of sandwich beams with metallic foam cores", Int. J Solids Struct., 38, 4901-4920, https://doi.org/10.1016/S0020-7683(00)00327-9.
- Mohammadimehr, M. and Rostami, R. (2018), "Bending and vibration analyses of a rotating sandwich cylindrical shell considering nanocomposite core and piezoelectric layers subjected to thermal and magnetic fields", Appl. Math. Mech., 39(2), 219-240. https://doi.org/10.1007/s10483-018-2301-6.
- Mohammadimehr, M., Rostami, R. and Arefi, M. (2016), "Electro-elastic analysis of a sandwich thick plate considering FG core and composite piezoelectric layers on Pasternak foundation using TSDT", Steel Compos. Struct., 20, 513-544. https://doi.org/10.12989/scs.2016.20.3.513.
- Peng, Z.K., Meng, G., Lang, Z.Q., Zhang, W.M. and Chu, F.L. (2012), "Study of the effects of cubic nonlinear damping on vibration isolations using Harmonic Balance Method", Int. J Nonlinear Mech., 47, 1073-1080. https://doi.org/10.1016/j.ijnonlinmec.2011.09.013.
- Qin, Q.H. and Wang, T. (2009), "Analytical solution for the large deflections of as lender sandwich beam with a metallic foam core under transverse loading by a flat punch", Compos. Struct., 88, 509-518. https://doi.org/10.1016/j.compstruct.2008.05.012.
- Radford, D., McShane, G., Deshpande, V. and Fleck, N. (2006), "The response of clamped sandwich plates with metallic foam cores to simulated blast loading", Int. J Solids Struct., 43, 2243-2259. https://doi.org/10.1016/j.ijsolstr.2005.07.006.
- Shaat, M. and Faroughi, S. (2018), "Influence of surface integrity on vibration characteristics of microbeams", Euro. J. Mech./ A Solids, 71, 365-377. https://doi.org/10.1016/j.euromechsol.2018.04.009.
- Smith, B., Szyniszewski, S., Hajjar, J., Schafer, B. and Arwade, S. (2012), "Steel foam for structures: a review of applications, manufacturing and material properties", J. Construct. Steel Res., 71, 1-10. https://doi.org/10.1016/j.jcsr.2011.10.028.
- Sobhy, M. and Zenkour, A.M. (2018), "Magnetic field effect on thermomechanical buckling and vibration of viscoelastic sandwich nanobeams with CNT reinforced face sheets on a viscoelastic substrate", Compos. Part B: Eng, 154, 492-506. https://doi.org/10.1016/j.compositesb.2018.09.011.
- Tagarielli, V. and Fleck, N. (2005), "A comparison of the structural response of clamped and simply supported sandwich beams with aluminium faces and a metal foam core", J. Appl. Mech., 72, 408-417. https://doi.org/10.1115/1.1875432.
- Xu, K., Yuan, Y. and Li, M. (2019), "Buckling behavior of functionally graded porous plates integrated with laminated composite faces sheets", Steel Compos. Struct., 32(5), 633-642. https://doi.org/10.12989/scs.2019.32.5.633.
- Youzera, H. and Meftah, S.A. (2017), "Nonlinear damping and forced vibration behaviour of sandwich beams with transverse normal stress", Compos. Struct., 179, 258-268. https://doi.org/10.1016/j.compstruct.2017.07.038.
- Yu, S. and Cleghorn, W. (2005), "Free flexural vibration analysis of symmetric honeycomb panels", J. Sound Vib., 284, 189-204. https://doi.org/10.1016/j.jsv.2004.06.028.
- Zenkour, A.M. and Alghanmi, R.A. (2019), "Hygro-thermo-electro-mechanical bending analysis of sandwich plates with FG core and piezoelectric faces", Mech. Advan. Mater. Struct., https://doi.org/10.1080/15376494.2018.1562134.
- Zhao, C. (2012), "Review on thermal transport in high porosity cellular metal foams with open cells", Int. J. Heat Mass. Transf., 55, 3618-3632. https://doi.org/10.1016/j.ijheatmasstransfer.2012.03.017.