DOI QR코드

DOI QR Code

Seismic analysis of AL2O3 nanoparticles-reinforced concrete plates based on sinusoidal shear deformation theory

  • Amoli, Abolfazl (Department of Civil Engineering, Jasb Branch, Islamic Azad University) ;
  • Kolahchi, Reza (Department of Civil Engineering, Jasb Branch, Islamic Azad University) ;
  • Bidgoli, Mahmood Rabani (Department of Civil Engineering, Jasb Branch, Islamic Azad University)
  • 투고 : 2018.06.01
  • 심사 : 2018.06.22
  • 발행 : 2018.09.25

초록

In this study, nonlinear dynamic response of a concrete plate retrofit with Aluminium oxide ($Al_2O_3$) under seismic load and magnetic field is investigated. The plate is a composite reinforced by Aluminium oxide with characteristics of the equivalent composite being determined using Mori-Tanka model considering agglomeration effect. The plate is simulated with higher order shear deformation plate model. Employing nonlinear strains-displacements, stress-strain, the energy equations of column was obtained and using Hamilton's principal, the governing equations were derived. Differential quadrature method (DQM) in conjunction with Newark method is applied for obtaining the dynamic response of structure. The influences of magnetic field, volume percent of nanoparticles, geometrical parameters of column, agglomeration and boundary conditions on the dynamic response were investigated. Results showed that with increasing volume percent of nanoparticles, the dynamic deflection decreases.

키워드

참고문헌

  1. Ahouel, M., Houari, M.S.A., Adda Bedia, E.A. and Tounsi A. (2016), "Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept", Steel Compos. Struct., 20(5), 963-981. https://doi.org/10.12989/scs.2016.20.5.963
  2. Alibeigloo, A. (2016), "Thermoelastic analysis of functionally graded carbon nanotube reinforced composite cylindrical panel embedded in piezoelectric sensor and actuator layers", Compos. Part B: Eng., 98, 225-243. https://doi.org/10.1016/j.compositesb.2016.05.010
  3. Attia, A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2015), "Free vibration analysis of functionally graded plates with temperature-dependent properties using various four variable refined plate theories", Steel Compos. Struct., 18(1), 187-212. https://doi.org/10.12989/scs.2015.18.1.187
  4. Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Beg, O.A. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Compos.: Part B, 60, 274-283. https://doi.org/10.1016/j.compositesb.2013.12.057
  5. Beldjelili, Y., Tounsi, A. and Mahmoud, S.R. (2016), "Hygro-thermo-mechanical bending of S-FGM plates resting on variable elastic foundations using a four-variable trigonometric plate theory", Smart Struct. Syst., 18(4), 755-786. https://doi.org/10.12989/sss.2016.18.4.755
  6. Belkorissat, I., Houari, M.S.A., Tounsi, A. and Hassan, S. (2015), "On vibration properties of functionally graded nanoplate using a new nonlocal refined four variable model", Steel Compos. Struct., 18(4), 1063-1081. https://doi.org/10.12989/scs.2015.18.4.1063
  7. Bellifa, H., Benrahou, K.H., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2017), "A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams", Struct. Eng. Mech., 62(6), 695 - 702. https://doi.org/10.12989/SEM.2017.62.6.695
  8. Bellifa, H., Benrahou, K.H., Hadji, L., Houari, M.S.A. and Tounsi, A. (2016), "Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position", J Brazil. Soc. Mech. Sci. Eng., 38(1), 265-275. https://doi.org/10.1007/s40430-015-0354-0
  9. Bennoun, M., Houari, M.S.A. and Tounsi, A. (2016), "A novel five variable refined plate theory for vibration analysis of functionally graded sandwich plates", Mech. Adv. Mater. Struct., 23(4), 423-431. https://doi.org/10.1080/15376494.2014.984088
  10. Bessaim, A., Houari, M.S.A. and Tounsi, A. (2013), "A new higher-order shear and normal deformation theory for the static and free vibration analysis of sandwich plates with functionally graded isotropic face sheets", J. Sandw. Struct. Mater., 15(6), 671-703. https://doi.org/10.1177/1099636213498888
  11. Besseghier, A., Houari, M.S.A., Tounsi, A. and Hassan, S. (2017), "Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory", Smart Struct. Syst., 19(6), 601 - 614. https://doi.org/10.12989/SSS.2017.19.6.601
  12. Boadu, K.B., Antwi-Boasiako, C. and Frimpong-Mensah, K. (2017), "Physical and mechanical properties of Klainedoxa gabonensis with engineering potential", J. Forest. Res., 28(3), 629-636. https://doi.org/10.1007/s11676-016-0331-1
  13. Bouafia, Kh., Kaci, A., Houari M.S.A. and Tounsi, A. (2017), "A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams", Smart Struct. Syst., 19, 115-126. https://doi.org/10.12989/sss.2017.19.2.115
  14. Bouderba, B., Houari, M.S.A. and Tounsi, A. (2013), "Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations", Steel Compos. Struct., 14(1), 85-104. https://doi.org/10.12989/scs.2013.14.1.085
  15. Bouderba, B., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2016b), "Thermal stability of functionally graded sandwich plates using a simple shear deformation theory", Struct. Eng. Mech., 58(3), 397-422. https://doi.org/10.12989/sem.2016.58.3.397
  16. Boukhari, A., Atmane, H.A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2016), "An efficient shear deformation theory for wave propagation of functionally graded material plates", Struct. Eng. Mech., 57(5), 837-859. https://doi.org/10.12989/sem.2016.57.5.837
  17. Bounouara, F., Benrahou, K.H., Belkorissat, I. and Tounsi, A. (2016), "A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation", Steel Compos. Struct., 20(2), 227-249. https://doi.org/10.12989/scs.2016.20.2.227
  18. Bourada, M., Kaci, A., Houari, M.S.A. and Tounsi, A. (2015), "A new simple shear and normal deformations theory for functionally graded beams", Steel Compos. Struct., 18(2), 409-423. https://doi.org/10.12989/scs.2015.18.2.409
  19. Bousahla, A.A., Benyoucef, S., Tounsi, A. and Mahmoud, S.R. (2016a), "On thermal stability of plates with functionally graded coefficient of thermal expansion", Struct. Eng. Mech., 60(2), 313-335. https://doi.org/10.12989/sem.2016.60.2.313
  20. Cao, V.V. and Ronagh, H.R. (2014), "Reducing the potential seismic damage of reinforced concrete frames using plastic hinge relocation by FRP", Compos. Part B: Eng., 60, 688-696. https://doi.org/10.1016/j.compositesb.2013.12.048
  21. Changwang, Y., Jinqing, J. and Ju, Z. (2010), "Seismic behavior of steel reinforced ultra high strength concrete column and reinforced concrete plate connection", Trans. Tianjin Univ., 16, 309-316. https://doi.org/10.1007/s12209-010-1344-z
  22. Cheng, C. and Chen, C. (2004), "Seismic behavior of steel plate and reinforced concrete column connections", J. Constr. Steel Res., 61, 587-606.
  23. Chikh, A., Tounsi, A., Hebali, H. and Mahmoud, S.R. (2017), "Thermal buckling analysis of cross-ply laminated plates using a simplified HSDT", Smart Struct. Syst., 19(3), 289-297. https://doi.org/10.12989/sss.2017.19.3.289
  24. Choi, S.W., Yousok, K. and Park, H.S. (2014), "Multi-objective seismic retrofit method for using FRP jackets in shear-critical reinforced concrete frames", Compos. Part B: Eng., 56, 207-216. https://doi.org/10.1016/j.compositesb.2013.08.049
  25. Davar, A., Khalili, S.M.R. and Malekzadeh Fard, K. (2013), "Dynamic response of functionally graded circular cylindrical shells subjected to radial impulse load", Int. J. Mech. Mater. Des., 9, 65-81. https://doi.org/10.1007/s10999-012-9206-6
  26. Draiche, K., Tounsi, A. and Mahmoud, S.R. (2016), "A refined theory with stretching effect for the flexure analysis of laminated composite plates", Geomech. Eng., 11, 671-690. https://doi.org/10.12989/gae.2016.11.5.671
  27. Duc, N.D., Cong, P.H., Tuan, N.D., Tran, P. and Van Thanh, N. (2017a), "Thermal and mechanical stability of functionally graded carbon nanotubes (FG CNT)-reinforced composite truncated conical shells surrounded by the elastic foundation", Thin Wall. Struct., 115, 300-310. https://doi.org/10.1016/j.tws.2017.02.016
  28. Duc, N.D., Hadavinia, H., Van Thu, P. and Quan, T.Q. (2015), "Vibration and nonlinear dynamic response of imperfect three-phase polymer nanocomposite panel resting on elastic foundations under hydrodynamic loads", Compos. Struct., 131, 229-237. https://doi.org/10.1016/j.compstruct.2015.05.009
  29. Duc, N.D., Lee, J., Nguyen-Thoi, T. and Thang, P.T. (2017b), "Static response and free vibration of functionally graded carbon nanotube-reinforced composite rectangular plates resting on Winkler-Pasternak elastic foundations", Aerosp. Sci. Technol., 68, 391-402. https://doi.org/10.1016/j.ast.2017.05.032
  30. Duc, N.D., Seung-Eock, K., Quan, T.Q., Long, D.D. and Anh, V.M. (2018), "Nonlinear dynamic response and vibration of nanocomposite multilayer organic solar cell", Compos. Struct., 184, 1137-1144. https://doi.org/10.1016/j.compstruct.2017.10.064
  31. Duc, N.D., Tran, Q.Q. and Nguyen, D.K. (2017c), "New approach to investigate nonlinear dynamic response and vibration of imperfect functionally graded carbon nanotube reinforced composite double curved shallow shells subjected to blast load and temperature", Aerosp. Sci. Technol., 71, 360-372. https://doi.org/10.1016/j.ast.2017.09.031
  32. El-Haina, F., Bakora, A., Bousahla, A.A. and Hassan, S. (2017), "A simple analytical approach for thermal buckling of thick functionally graded sandwich plates", Struct. Eng. Mech., 63(5), 585-595. https://doi.org/10.12989/SEM.2017.63.5.585
  33. Feng, Ch., Kitipornchai, S. and Yang, J. (2017), "Nonlinear bending of polymer nanocomposite plates reinforced with nonuniformly distributed graphene platelets (GPLs)", Compos. Part B: Eng., 110, 132-140. https://doi.org/10.1016/j.compositesb.2016.11.024
  34. Formica, G., Lacarbonara, W. and Alessi, R. (2010), "Vibrations of carbon nanotube reinforced composites", J. Sound Vib., 329, 1875-1889. https://doi.org/10.1016/j.jsv.2009.11.020
  35. GhorbanpourArani, A., Haghparast, E., Khoddami Maraghi, Z. and Amir, S. (2015), "Static stress analysis of carbon nano-tube reinforced composite (CNTRC) cylinder under nonaxisymmetric thermo-mechanical loads and uniform electromagnetic fields", Compos. Part B: Eng., 68, 136-145. https://doi.org/10.1016/j.compositesb.2014.08.036
  36. JafarianArani, A. and Kolahchi, R. (2016), "Buckling analysis of embedded concrete columns armed with carbon nanotubes", Comput. Concrete, 17, 567-578. https://doi.org/10.12989/cac.2016.17.5.567
  37. Ji, X., Zhang, M., Kang, H., Qian, J. and Hu, H. (2014), "Effect of cumulative seismic damage to steel tube-reinforced concrete composite columns", Earthq. Struct., 7, 179-200. https://doi.org/10.12989/eas.2014.7.2.179
  38. Khetir, H., Bouiadjra, M.B., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2017), "A new nonlocal trigonometric shear deformation theory for thermal buckling analysis of embedded nanosize FG plates", Struct. Eng. Mech., 64(4), 391-402. https://doi.org/10.12989/SEM.2017.64.4.391
  39. Kolahchi, R., Rabani Bidgoli, M., Beygipoor, Gh. and Fakhar, M.H. (2013), "A nonlocal nonlinear analysis for buckling in embedded FG-SWCNT-reinforced microplates subjected to magnetic field", J. Mech. Sci. Tech., 5, 2342-2355.
  40. Kolahchi, R., Safari, M. and Esmailpour, M. (2016), "Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium", Compos. Struct., 150, 255-265. https://doi.org/10.1016/j.compstruct.2016.05.023
  41. Larbi Chaht, F., Kaci, A., Houari, M.S.A. and Hassan, S. (2015), "Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect", Steel Compos. Struct., 18(2), 425-442. https://doi.org/10.12989/scs.2015.18.2.425
  42. Lei, Z.X., Zhang, L.W., Liew, K.M. and Yu, J.L. (2014), "Dynamic stability analysis of carbon nanotube-reinforced functionally graded cylindrical panels using the element-free kp-Ritz method", Compos. Struct., 113, 328-338. https://doi.org/10.1016/j.compstruct.2014.03.035
  43. Liang, X. and Parra-Montesinos, G.J. (2004), "Seismic behavior of reinforced concrete column-steel plate subassemblies and frame systems", J. Struct. Eng., 130, 310:319. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:2(310)
  44. Liew, K.M., Lei, Z.X., Yu, J.L. and Zhang, L.W. (2014), "Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach", Comput. Meth. Appl. Mech. Eng., 268, 1-17. https://doi.org/10.1016/j.cma.2013.09.001
  45. Liu, Z.Q., Xue, J.Y. and Zhao, H.T. (2016), "Seismic behavior of steel reinforced concrete special-shaped column-plate joints", Earthq. Struct., 11, 665-680. https://doi.org/10.12989/eas.2016.11.4.665
  46. Mahi, A., Bedia, E.A.A. and Tounsi, A. (2015), "A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates", Appl. Math. Model., 39, 2489-2508. https://doi.org/10.1016/j.apm.2014.10.045
  47. Matsuna, H. (2007), "Vibration and buckling of cross-ply laminated composite circular cylindrical shells according to a global higher-order theory", Int. J. Mech. Sci., 49, 1060-1075. https://doi.org/10.1016/j.ijmecsci.2006.11.008
  48. Mehri, M., Asadi, H. and Wang, Q. (2016), "Buckling and vibration analysis of a pressurized CNT reinforced functionally graded truncated conical shell under an axial compression using HDQ method", Comput. Meth. Appl. Mech. Eng., 303, 75-100. https://doi.org/10.1016/j.cma.2016.01.017
  49. Menasria, A., Bouhadra, A., Tounsi, A. and Hassan, S. (2017), "A new and simple HSDT for thermal stability analysis of FG sandwich plates", Steel Compos. Struct., 25(2), 157-175. https://doi.org/10.12989/SCS.2017.25.2.157
  50. Meziane, M.A.A., Abdelaziz, H.H. and Tounsi, A.T. (2014), "An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions", J. Sandw. Struct. Mater., 16(3), 293-318. https://doi.org/10.1177/1099636214526852
  51. Mori, T. and Tanaka, K. (1973), "Average stress in matrix and average elastic energy of materials with misfitting inclusions", Acta Metall. Mater., 21, 571-574. https://doi.org/10.1016/0001-6160(73)90064-3
  52. Mouffoki, A., Adda Bedia, E.A., Houari M.S.A. and Hassan, S. (2017), "Vibration analysis of nonlocal advanced nanobeams in hygro-thermal environment using a new two-unknown trigonometric shear deformation beam theory", Smart Struct. Syst., 20(3), 369 - 383. https://doi.org/10.12989/SSS.2017.20.3.369
  53. Shen, H.S. and Yang, D.Q. (2014), "Nonlinear vibration of anisotropic laminated cylindrical shells with piezoelectric fiber reinforced composite actuators", Ocean Eng., 80, 36-49. https://doi.org/10.1016/j.oceaneng.2014.01.016
  54. Shu, C. and Xue, H. (1997), "Explicit computations ofweighting coefficients in the harmonic differential quadrature", J. Sound Vib., 204(3), 549-55. https://doi.org/10.1006/jsvi.1996.0894
  55. Simsek, M. (2010), "Non-linear vibration analysis of a functionally graded Timoshenko plate under action of a moving harmonic load", Compos. Struct., 92, 2532-2546. https://doi.org/10.1016/j.compstruct.2010.02.008
  56. Simsek, M. and Reddy, J.N. (2013), "A unified higher order plate theory for buckling of a functionally graded microplate embedded in elastic medium using modified couple stress theory", Compos. Struct., 101, 47-58. https://doi.org/10.1016/j.compstruct.2013.01.017
  57. Thanh, N.V., Khoa, N.D., Tuan, N.D., Tran, P. and Duc, N.D. (2017), "Nonlinear dynamic response and vibration of functionally graded carbon nanotube-reinforced composite (FGCNTRC) shear deformable plates with temperature-dependent material properties", J. Therm. Stress., 40, 1254-1274. https://doi.org/10.1080/01495739.2017.1338928
  58. Van Thu, P. and Duc, N.D. (2016), "Non-linear dynamic response and vibration of an imperfect three-phase laminated nanocomposite cylindrical panel resting on elastic foundations in thermal environment", Sci. Eng. Compos. Mater., 24(6), 951-962.
  59. Wuite, J. and Adali, S. (2005), "Deflection and stress behaviour of nanocomposite reinforced plates using a multiscale analysis", Compos. Struct., 71, 388-396. https://doi.org/10.1016/j.compstruct.2005.09.011
  60. Zemri, A., Houari, M.S.A., Bousahla, A.A. and Tounsi, A. (2015), "A mechanical response of functionally graded nanoscale beam: an assessment of a refined nonlocal shear deformation theory beam theory", Struct. Eng. Mech., 54(4), 693-710. https://doi.org/10.12989/sem.2015.54.4.693
  61. Zidi, M., Tounsi, A. and Beg, O.A. (2014), "Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory", Aerosp. Sci. Tech., 34, 24-34. https://doi.org/10.1016/j.ast.2014.02.001