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Dynamic analysis of concrete beams reinforced with Tio2 nano particles under earthquake load

  • Sharifi, Morteza (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)
  • Received : 2017.08.19
  • Accepted : 2017.12.27
  • Published : 2018.01.25

Abstract

This research studies the dynamic analysis of a concrete column reinforced with titanium dioxide ($TiO_2$) nanoparticles under earthquake load. The effect of nanoparticles accumulation in a region of concrete column is examined using Mori-Tanaka model. The structure is simulated mathematically based on the theory of sinusoidal shear deformation theory (SSDT). By calculating strain-displacement and stress-strain relations, the system energies include potential energy, kinetic energy, and external works are derived. Then, using the Hamilton's principle, the governing equations for the structure are extracted. Using these equations, the response of the concrete column under earthquake load is investigated using the numerical methods of differential quadrature (DQ) and Newark. The purpose of this study is to study the effects of percentage of nanoparticles, nanoparticles agglomeration, geometric parameters and boundary conditions on the dynamic response of the structure. The results indicate that by increasing the volume percent of $TiO_2$ nanoparticles, the maximum dynamic deflection of the structure decreases.

Keywords

References

  1. 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
  2. Formica, G., Lacarbonara, W. and Alessi, R. (2010), "Vibrations of carbon nanotube reinforced composites", J. Sound Vib., 329(10), 1875-1889. https://doi.org/10.1016/j.jsv.2009.11.020
  3. Jafarian Arani, A. and Kolahchi, R. (2016), "Buckling analysis of embedded concrete columns armed with carbon nanotubes", Comput. Concrete, 17(5), 567-578. https://doi.org/10.12989/cac.2016.17.5.567
  4. Heidarzadeh, A., Kolahchi, R. and Rabani Bidgoli, M. (2017), "Concrete pipes reinforced with AL2O3Nanoparticles considering agglomeration: magneto-thermo-mechanical stress analysis", Int. J. Civ. Eng., In press.
  5. 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.
  6. 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
  7. 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
  8. 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. Method. Appl. M., 268, 1-17. https://doi.org/10.1016/j.cma.2013.09.001
  9. 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(9), 1060-1075. https://doi.org/10.1016/j.ijmecsci.2006.11.008
  10. Mori, T. and Tanaka, K. (1973), "Average stress in matrix and average elastic energy of materials with misfitting inclusions", Acta Metall. Mater., 21(5), 571-574. https://doi.org/10.1016/0001-6160(73)90064-3
  11. Safari Bilouei, B., Kolahchi, R. and Rabani Bidgoli, M. (2017), "Buckling of concrete columns retrofitted with Nano-Fiber Reinforced Polymer (NFRP)", Comput. Concrete, 18, 1053-1063.
  12. Shi, D.L. and Feng, X.Q. (2004), "The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube-reinforced composite", J. Eng. Mat. Tech ASME, 126(3), 250-270. https://doi.org/10.1115/1.1751182
  13. Simsek, M. (2010), "Non-linear vibration analysis of a functionally graded Timoshenko beam under action of a moving harmonic load", Compos. Struct., 92(10), 2532-2546. https://doi.org/10.1016/j.compstruct.2010.02.008
  14. Thai, H.T. and Vo, T.P. (2012), "A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams", Int. J. Eng. Sci., 54, 58-66. https://doi.org/10.1016/j.ijengsci.2012.01.009
  15. Wuite, J. and Adali, S. (2005), "Deflection and stress behaviour of nanocomposite reinforced beams using a multiscale analysis", Compos. Struct., 71(3-4), 388-396. https://doi.org/10.1016/j.compstruct.2005.09.011
  16. Zamanian, M., Kolahchi, R. and Rabani Bidgoli, M. (2017), "Agglomeration effects on the buckling behaviour of embedded concrete columns reinforced with SiO2 nano-particles", Wind Struct., 24(1), 43-57. https://doi.org/10.12989/was.2017.24.1.043