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DOI QR Code

Dynamic analysis of viscoelastic concrete plates containing nanoparticle subjected to low velocity impact load

  • Luo, Jijun (Shaanxi Engineering Research Center of Controllable Neutron Source, Xijing University of School of Electronic Information, Xijing University) ;
  • Lv, Meng (China Construction Seventh Engineering Division Corp., LTD.) ;
  • Hou, Suxia (Shaanxi Engineering Research Center of Controllable Neutron Source, Xijing University of School of Electronic Information, Xijing University) ;
  • Nasihatgozar, Mohsen (Department of mechanical engineering, Kashan Branch, Islamic Azad University) ;
  • Behshad, Amir (Faculty of Technology and Mining, Yasouj University)
  • 투고 : 2021.01.07
  • 심사 : 2022.09.14
  • 발행 : 2022.10.25

초록

Dynamic study of concrete plates under impact load is presented in this article. The main objective of this work is presenting a mathematical model for the concrete plates under the impact load. The concrete plate is reinforced by carbon nanoparticles which the effective material proprieties are obtained by mixture's rule. Impacts are assumed to occur normally over the top layer of the plate and the interaction between the impactor and the structure is simulated using a new equivalent three-degree-of-freedom (TDOF) spring-mass-damper (SMD) model. The structure is assumed viscoelastic based on Kelvin-Voigt model. Based on the classical plate theory (CPT), energy method and Hamilton's principle, the motion equations are derived. Applying DQM, the dynamic deflection and contact force of the structure are calculated numerically so that the effects of mass, velocity and height of the impactor, volume percent of nanoparticles, structural damping and geometrical parameters of structure are shown on the dynamic deflection and contact force. Results show that considering structural damping leads to lower dynamic deflection and contact force. In addition, increasing the volume percent of nanoparticles yields to decreases in the deflection.

키워드

과제정보

The authors extend their sincere thanks to the National Nature Science Fund of China Grants Agreement Number 51309228 for the financial support for this work. The author also thanks the Postdoctoral Science Foundation of China for financial supporting this work (No.2013M542459), and Shaanxi Technology Committee Natural Science Basic Research Project for financial supporting this work (No. 2016JM6026).

참고문헌

  1. Al-Furjan, M.S.H., Xu, M.X., Farrokhian, A., Jafari, G.S., Shen, X. and Kolahchi, R. (2022a), "On wave propagation in piezoelectric-auxetic honeycomb-2D-FGM micro-sandwich beams based on modified couple stress and refined zigzag theories", Wave Random Complex. Med., 1-25. https://doi.org/10.1080/17455030.2022.2030499.
  2. Al-Furjan, M.S.H., Yang, Y., Farrokhian, G.S., Shen, X., Kolahchi, R. and Rajak, D.K. (2022b), "Dynamic instability of nanocomposite piezoelectric-leptadenia pyrotechnica rheological elastomer-porous functionally graded materials micro viscoelastic beams at various strain gradient higher-order theories", Polym. Compos., 43, 282-298. https://doi.org/10.1002/pc.26373.
  3. Al-Furjan, M.S.H., Yin, C., Shen, X., Kolahchi, R., Zarei, M.S. and Hajmohammad, M.H. (2022c), "Energy absorption and vibration of smart auxetic FG porous curved conical panels resting on the frictional viscoelastic torsional substrate", Mech. Syst. Signal Pr., 178, 109269. https://doi.org/10.1016/j.ymssp.2022.109269.
  4. Al-Furjan, M.S.H., Shan, L., Shen, X., Zarei, M.S., Hajmohammad, M.H. and Kolahchi, R. (2022d), "A review on fabrication techniques and tensile properties of glass, carbon, and kevlar fiber reinforced polymer composites", J. Mat. Res. Tech., 19, 2930-2959. https://doi.org/10.1016/j.jmrt.2022.06.008.
  5. Al-Furjan, M.S.H., Shan, L., Shen, X., Kolahchi, R. and Rajak, D.K. (2022e), "Combination of FEM-DQM for nonlinear mechanics of porous GPL-reinforced sandwich nanoplates based on various theories", Thin-Wall. Struct., 178, 109495. https://doi.org/10.1016/j.tws.2022.109495.
  6. Al-Furjan, M.S.H., Kong, X.S., Shan, L., Soleimani Jafari, G., Farrokhian, A., Kolahchi, R. and Rajak, D.K. (2022f), "Influence of LPRE on the size-dependent phase velocity of sandwich beam including FG porous and smart nanocomposite layers", Polym. Compos. https://doi.org/10.1002/pc.26820.
  7. Al-Furjan, M.S.H., Farrokhian, A., Mahmoud, S.R., Kolahchi, R. (2021a), "Dynamic deflection and contact force histories of graphene platelets reinforced conical shell integrated with magnetostrictive layers subjected to low-velocity impact", Thin Wall. Struct. 163, 107706. https://doi.org/10.1016/j.tws.2021.107706.
  8. Al-Furjan, M.S.H., Hajmohammad, M.H., Shen, X., Rajak, D.K. and Kolahchi, R. (2021b), "Evaluation of tensile strength and elastic modulus of 7075-T6 aluminum alloy by adding SiC reinforcing particles using vortex casting method", J. Alloys. Compd., 886, 161261. https://doi.org/10.1016/j.jallcom.2021.161261.
  9. Al-Furjan, M., Farrokhian, A., Keshtegar, B., Kolahchi, R. and Trung, N.T. (2021c), "Dynamic stability control of viscoelastic nanocomposite piezoelectric sandwich beams resting on Kerr foundation based on exponential piezoelasticity theory", Eur. J. Mech. A Solids, 86, 104169. https://doi.org/10.1016/j.euromechsol.2020.104169.
  10. Al-Furjan, M., Farrokhian, A., Keshtegar, B., Kolahchi, R. and Trung, N.T. (2020), "Higher order nonlocal viscoelastic strain gradient theory for dynamic buckling analysis of carbon nanocones", Aerosp. Sci. Technol., 107, 106259. https://doi.org/10.1016/j.ast.2020.106259.
  11. Alonso, L. and Solis, A. (2021), "High-velocity impact on composite sandwich structures: A theoretical model", Int. J. Mech. Sci., 201, 106459. https://doi.org/10.1016/j.ijmecsci.2021.106459.
  12. Amoli, A., Kolahchi, R. and Rabani Bidgoli, M. (2018), "Seismic analysis of AL2O3 nanoparticles-reinforced concrete plates based on sinusoidal shear deformation theory", Earthq. Struct. 15(3), 285-294. https://doi.org/10.12989/eas.2018.15.3.285.
  13. Arbabi, A., Kolahchi, R. and Rabani Bidgoli, M. (2017), "Concrete columns reinforced with Zinc Oxide nanoparticles subjected to electric field: buckling analysis", Wind Struct., 24(5), 431-446. https://doi.org/10.12989/was.2017.24.5.431.
  14. Azmi, M., Kolahchi, R. and Rabani Bidgoli, M. (2019), "Dynamic analysis of concrete column reinforced with Sio2 nanoparticles subjected to blast load", Adv. Concr. Constr., 7(1), 51-63. https://doi.org/10.12989/acc.2019.7.1.051.
  15. Bakhshande Amnieh. H., Zamzam, M.S. and Kolahchi, R. (2018), "Dynamic analysis of non-homogeneous concrete blocks mixed by SiO2 nanoparticles subjected to blast load experimentally and theoretically", Constr. Build. Mater., 174, 633-644. https://doi.org/10.1016/j.conbuildmat.2018.04.140.
  16. Chow, S.T., Liew, K.M. and Lam, K.Y. (1992), "Transverse Low velocity impact of symmetrically laminated rectangular composite plates", Compos. Struct., 20, 213-218. https://doi.org/10.1016/j.proeng.2013.09.187.
  17. Faramoushjan, S.G., Jalalifar, H. and Kolahchi, R. (2021), "Mathematical modelling and numerical study for buckling study in concrete beams containing carbon nanotubes", Adv. Concr. Constr., 11(6), 521-529. https://doi.org/10.12989/acc.2021.11.6.521.
  18. Farokhian, A. and Kolahchi, R. (2020), "Frequency and instability responses in nanocomposite plate assuming different distribution of CNTs", Struct. Eng. Mech., 73(5), 555-563. https://doi.org/10.12989/sem.2020.73.5.555.
  19. Fakhar, A. and Kolahchi, R. (2018), "Dynamic buckling of magnetorheological fluid integrated by visco-piezo-GPL reinforced plates", Int. J. Mech. Sci., 144, 788-799. https://doi.org/10.1016/j.ijmecsci.2018.06.036.
  20. Golabchi, H., Kolahchi, R. and Rabani Bidgoli, M. (2018), "Vibration and instability analysis of pipes reinforced by SiO2 nanoparticles considering agglomeration effects", Comput. Concrete, 21, 431-440. https://doi.org/10.12989/cac.2018.21.4.431.
  21. Ghorbanpour Arani, A., Jamali, M., Ghorbanpour-Arani, A.H., Kolahchi, R. and Mosayyebi, M. (2016), "Electro-magneto wave propagation analysis of viscoelastic sandwich nanoplates considering surface effects", Proc. Inst. Mech. Eng. Part C, 231, 1989-1996.https://doi.org/10.1177/0954406215627830.
  22. Hajmohammad, M.H., Sharif Zarei, M., Nouri, A. and Kolahchi, R. (2017), "Dynamic buckling of sensor/functionally gradedcarbon nanotube-reinforced laminated plates/actuator based on sinusoidal-visco-piezoelasticity theories", J. Sandw. Struct. Mater., 1099636217720373. https://doi.org/10.1177/1099636217720373.
  23. Hajmohammad, M.H., Azizkhani, M.B. and Kolahchi, R. (2018a), "Multiphase nanocomposite viscoelastic laminated conical shells subjected to magneto-hygrothermal loads: Dynamic buckling analysis", Int. J. Mech. Sci., 137, 205-213. https://doi.org/10.1016/j.ijmecsci.2018.01.026 .
  24. Hajmohammad, M.H., Zarei, M.S., Farrokhian, A. and Kolahchi, R. (2018b), "A layerwise theory for buckling analysis of truncated conical shells reinforced by CNTs and carbon fibers integrated with piezoelectric layers in hygrothermal environment", Adv. Nano Res., 6(4), 299-321. https://doi.org/10.12989/anr.2018.6.4.299.
  25. Hajmohammad, M.H., Maleki, M. and Kolahchi, R. (2018c), "Seismic response of underwater concrete pipes conveying fluid covered with nano-fiber reinforced polymer layer", Soil Dyn. Earthq. Eng., 110, 18-27. https://doi.org/10.1016/j.soildyn.2018.04.002.
  26. Hajmohammad, M.H., Nouri, A.H., Zarei, M.S. and Kolahchi, R. (2019a), "A new numerical approach and visco-refined zigzag theory for blast analysis of auxetic honeycomb plates integrated by multiphase nanocomposite facesheets in hygrothermal", Eng. Comput., 35(4), 1141-1157. https://doi.org/10.1007/s00366-018-0655-x.
  27. Hajmohammad, M.H., Zarei, M.S., Kolahchi, R. and Karami, H. (2019b), "Visco-piezoelasticity-zigzag theories for blast response of porous beams covered by graphene plateletreinforced piezoelectric layers", J. Sandw. Struct. Mat., 1099636219839175. https://doi.org/10.1177/1099636219839175.
  28. Hajmohammad, M.H., Farrokhian, A. and Kolahchi, R. (2021), "Dynamic analysis in beam element of wave-piercing Catamarans undergoing slamming load based on mathematical modelling", Ocean Eng., 234, 109269. https://doi.org/10.1016/j.oceaneng.2021.109269.
  29. Heidarzadeh, A., Kolahchi, R. and Rabani Bidgoli, M. (2018), "Concrete pipes reinforced with AL2O3 nanoparticles considering agglomeration: Magneto-thermo-mechanical stress analysis", Int. J. Civ. Eng., 16(3), 315-322. https://doi.org/10.1007/s40999-016-0130-2.
  30. Jafarian Arani, A. and Kolahchi, R. (2016), "Buckling analysis of embedded laminated porous concrete beams armed with carbon nanotubes", Comput. Concr., 17, 567-578. https://doi.org/10.12989/cac.2016.17.5.567
  31. Jassas, M.R., Rabani Bidgoli, M. and Kolahchi, R. (2019), "Forced vibration analysis of concrete plates reinforced by agglomerated SiO2 nanoparticles based on numerical methods", Constr. Build. Mater., 211, 796-806. https://doi.org/10.1016/j.conbuildmat.2019.03.263.
  32. Jamali, M., Shojaee, T., Kolahch,i R. and Mohammadi, B. (2016), "Buckling analysis of nanocomposite cut out plate using domain decomposition method and orthogonal polynomials", Steel Compos. Struct., 22(3), 691-712. https://doi.org/10.12989/scs.2016.22.3.691.
  33. Jamali, M., Shojaee, T., Mohammadi, B. and Kolahchi, R. (2019), "Cut out effect on nonlinear post-buckling behavior of FGCNTRC micro plate subjected to magnetic field via FSDT", Adv. Nano Res., 7(6), 405-417. https://doi.org/10.12989/anr.2019.7.6.405.
  34. 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., 31(4), 419-426. https://doi.org/10.12989/scs.2019.31.4.419.
  35. Jafari Natanzi, A., Soleimani Jafari, G. and Kolahchi, R. (2018), "Vibration and instability of nanocomposite pipes conveying fluid mixed by nanoparticles resting on viscoelastic foundation", Comput. Concrete, 21(5), 569-582. https://doi.org/10.12989/cac.2018.21.5.569.
  36. Keshtegar, B. and Kolahchi, R. (2018), "Reliability analysis-based conjugate map of beams reinforced by ZnO nanoparticles using sinusoidal shear deformation theory", Steel Compos. Struct., 28(2), 195-20. https://doi.org/10.12989/scs.2018.28.2.195.
  37. Keshtegar, B., Motezaker, M., Kolahchi, R. and Trung, N.T. (2020a), "Wave propagation and vibration responses in porous smart nanocomposite sandwich beam resting on Kerr foundation considering structural damping", Thin Wall. Struct. 154, 106820. https://doi.org/10.1016/j.tws.2020.106820.
  38. Keshtegar, B., Farrokhian, A., Kolahchi, R. and Trung, N.T. (2020b), "Dynamic stability response of truncated nanocomposite conical shell with magnetostrictive face sheets utilizing higher order theory of sandwich panels", Eur. J. Mech. A Solids, 82, 104010. https://doi.org/10.1016/j.euromechsol.2020.104010.
  39. Keshtegar, B., Tabatabaei, J., Kolahchi, R. and Trung, N.T. (2020c), "Dynamic stress response in the nanocomposite concrete pipes with internal fluid under the ground motion load", Adv. Concr. Constr., 9(3), 327-335. https://doi.org/10.12989/acc.2020.9.3.327.
  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. Kolahchi, R. (2017a), "A comparative study on the bending, vibration and buckling of viscoelastic sandwich nano-plates based on different nonlocal theories using DC, HDQ and DQ methods", Aerosp. Sci. Technol., 66, 235-248. https://doi.org/10.1016/j.ast.2017.03.016.
  42. Kolahchi, R., Zarei, M.S., Hajmohammad, M.H. and Nouri, A.H. (2017b), "Wave propagation of embedded viscoelastic FG-CNTreinforced sandwich plates integrated with sensor and actuator based on refined zigzag theory", Int. J. Mech. Sci. 130 534-545. https://doi.org/10.1016/j.ijmecsci.2017.06.039.
  43. Kolahchi, R., Hosseini, H., Fakhar, M.H., Taherifar, R. and Mahmoudi, M. (2018), "A numerical method for magnetohygro-thermal postbuckling analysis of defective quadrilateral graphene sheets using higher order nonlocal strain gradient theory with different movable boundary conditions", Comput. Math. Appl., 78(6), 2018-2034. https://doi.org/10.1016/j.camwa.2019.03.042.
  44. Kolahchi, R., Zhu, S.P., Keshtegar, B. and Trung, N.T. (2020a). "Dynamic buckling optimization of laminated aircraft conical shells with hybrid nanocomposite martial", Aerosp. Sci. Technol., 98, 105656, https://doi.org/10.1016/j.ast.2019.105656.
  45. Kolahchi, R., Arbabi, A. and Rabani Bidgoli, M. (2020b), "Experimental study for ZnO nanofibers effect on the smart and mechanical properties of concrete", Smart Struct. Syst., 25 (1), 97-104. https://doi.org/10.12989/sss.2020.25.1.097.
  46. Kolahchi, R. and Kolahdouzan, F. (2021), "A numerical method for magneto-hygro-thermal dynamic stability analysis of defective quadrilateral graphene sheets using higher order nonlocal strain gradient theory with different movable boundary conditions", Appl. Math. Model., 91, 458-475. https://doi.org/10.1016/j.apm.2020.09.060.
  47. Kolahchi, R., Keshtegar, B. and Trung, N.T. (2022), "Optimization of dynamic properties for laminated multiphase nanocomposite sandwich conical shell in thermal and magnetic conditions", Int. J. Sandw. Struct., 24, 643-662. https://doi.org/10.1177/10996362211020388.
  48. Kolahdouzan, F., Mosayyebi, M., Ghasemi, F.A., Kolahchi, R. and Mousavi Panah, S.M. (2020), "Free vibration and buckling analysis of elastically restrained FG-CNTRC sandwich annular nanoplates", Adv. Nano Res., 9(4), 237-250. https://doi.org/10.12989/anr.2020.9.4.237.
  49. Motezaker, M. and Kolahchi, R. (2017a), "Seismic response of SiO2 nanoparticles-reinforced concrete pipes based on DQ and newmark methods", Comput. Concr.,19(6), 745-753. https://doi.org/10.12989/cac.2017.19.6.745.
  50. Motezaker, M. and Kolahchi, R. (2017a), "Seismic response of concrete columns with nanofiber reinforced polymer layer", Comput. Concr., 20(3), 361-368. https://doi.org/10.12989/cac.2017.20.3.361.
  51. Motezaker, M., Kolahchi, R., Kumar Rajak, D. and Mahmoud, S. R. (2021), "Influences of fiber reinforced polymer layer on the dynamic deflection of concrete pipes containing nanoparticle subjected to earthquake load", Polym. Compos., 42(8), 4073-4081. https://doi.org/10.1002/pc.26118.
  52. Mosharrafian, F. and Kolahchi, R. (2016), "Nanotechnology, smartness and orthotropic nonhomogeneous elastic medium effects on buckling of piezoelectric pipes", Struct. Eng. Mech., 58(5), 931-947. https://doi.org/10.12989/sem.2016.58.5.931.
  53. Naseri Taheri, M., Sabet, S.A. and Kolahchi, R. (2020), "Experimental investigation of self-healing concrete after crack using nano-capsules including polymeric shell and nanoparticles core", Smart Struct. Syst., 25(3), 337-343. https://doi.org/10.12989/sss.2020.25.3.337.
  54. Taherifar, R., Zareei, S.A., Rabani Bidgoli, M. and Kolahchi, R. (2020), "Seismic analysis in pad concrete foundation reinforced by nanoparticles covered by smart layer utilizing plate higher order theory", Steel Compos. Struct., 37(1), 99-115. https://doi.org/10.12989/scs.2020.37.1.099.
  55. Taherifar, R., Zareei, S.A., Rabani Bidgoli, M. and Kolahchi, R. (2021), "Application of differential quadrature and Newmark methods for dynamic response in pad concrete foundation covered by piezoelectric layer", J. Comput. Appl. Math., 382, 113075. https://doi.org/10.1016/j.cam.2020.113075.
  56. Xu, H., Wang, Sh. and Hub, J. (2020), "Mass-spring-damper modeling and stability analysis of type-4 wind turbines connected into asymmetrical weak AC grid", Energy Report, 6, 649-655. https://doi.org/10.1016/j.egyr.2020.11.161.
  57. Zamanian, M., Kolahchi, R. and Rabani Bidgoli, M. (2017), "Agglomeration effects on the buckling behaviour of embedded concrete columns reinforced with SiO2 nanoparticles", Wind. Struct., 24(1), 43-57. https://doi.org/10.12989/was.2017.24.1.043.
  58. Zamani, A., Kolahchi, R. and Rabani Bidgoli, M. (2017), "Seismic response of smart nanocomposite cylindrical shell conveying fluid flow using HDQ-Newmark methods", Comput. Concr., 20(6), 671-682. https://doi.org/10.12989/cac.2017.20.6.671.
  59. Zarei, M.S., Azizkhani, M.B., Hajmohammad, M.H. and Kolahchi, R. (2017), "Dynamic buckling of polymer-carbon nanotube-fiber multiphase nanocomposite viscoelastic laminated conical shells in hygrothermal environments", J. Sandw. Struct. Mat., 1099636217743288. https://doi.org/10.1177/1099636217743288.
  60. Zmindak, M., Pelagic, Z., Pastorek, P., Mocilan, M. and Vybostok, M. (2016), "Finite element modelling of high velocity impact on plate structures", Procedia Eng., 136, 162-168. https://doi.org/10.1016/j.proeng.2016.01.191.