Advances in nano research

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Development of the educational management model for dynamic instability analysis in nanocomposite sandwich beam

  • Wenxi Tang (College of Biology and Environmental Sciences, Jishou University) ;
  • Chunhui Zhou (Zhangjiajie Aviation Industry Vocational and Technical College, Sports and Art Department) ;
  • Maryam Shokravi (Energy institute of higher education, Mehrab High School) ;
  • X. Kelaxich (Department of Engineering, Warsaw Industrial)
  • Received : 2021.08.14
  • Accepted : 2024.06.17
  • Published : 2024.07.25
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Abstract

This paper presents the development of an educational management model for analyzing the dynamic instability of nanocomposite sandwich beams. The model aims to provide a comprehensive framework for understanding the behavior of sandwich micro beams with foam cores, featuring top and bottom layers made of smart and porous functionally graded materials (FGM) nanocomposites. The bottom layer is influenced by an external electric field, and the entire beam is supported by a visco-Pasternak foundation, accounting for spring, shear, and damping constants. Using the Kelvin-Voigt theory to model structural damping and incorporating size effects based on strain gradient theory, the model employs the parabolic shear deformation beam theory (PSDBT) to derive motion equations through Hamilton's principle. The differential quadrature method (DQM) is applied to solve these equations, accurately identifying the improvement in student understanding (ISU) of the beams. The impact of various parameters, including FGM properties, external voltage, geometric constants, and structural damping, on the DIR is thoroughly examined. The educational model is validated by comparing its outcomes with existing studies, highlighting the increase in ISU with the application of negative external voltage to the smart layer. This model serves as a valuable educational tool for engineering students and researchers studying the dynamic stability of advanced nanocomposite structures.

Keywords

Acknowledgement

This work was supported by research project of Ideological and Political Work of Hunan Research Project (number: 23C15): Research on the realistic logic, dilemma and education system construction of college students' mental health education.

References

  1. Belarbi, M.O., Khechai, A., Bessaim, A., Houari, M.S.A., Garg, A., Hirane, H. and Chalak, H. (2021), "Finite element bending analysis of symmetric and non-symmetric functionally graded sandwich beams using a novel parabolic shear deformation theory", Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 235(11), 14644207211005096. https://doi.org/10.1177/14644207211005096.
  2. Benaberrahmane, I., Benyoucef, S., Sekkal, M., Mekerbi, M., Bouiadjra, R.B., Selim, M.M., Tounsi, A., Hussain, M.J.G. and Engineering (2021), "Investigating of free vibration behavior of bidirectional FG beams resting on variable elastic foundation", Geomech. Eng., 25(5), 383-394. http://doi.org/10.12989/gae.2021.25.5.383.
  3. Daikh, A.A., Houari, M.S.A., Karami, B., Eltaher, M.A., Dimitri, R. and Tornabene, F. (2021), "Buckling Analysis of CNTRC Curved Sandwich Nanobeams in Thermal Environment", Appl. Sci., 11(7), 3250. https://doi.org/10.3390/app11073250.
  4. Dong, D.T., Nam, V.H., Trung, N.T., Phuong, N.T. and Hung, V.T. (2020), "Nonlinear thermomechanical buckling of sandwich FGM oblique stiffened plates with nonlinear effect of elastic foundation", J. Thermoplast. Compos. Mater., 35(10), 1441-1467. https://doi.org/10.1177/0892705720935957.
  5. Farrokhian, A. (2020), "Buckling response of smart plates reinforced by nanoparticles utilizing analytical method", Steel Compos. Struct., 35(1), 1-12. http://doi.org/10.12989/scs.2020.35.1.001.
  6. Golabchi, H., Kolahchi, R. and Rabani Bidgoli, M. (2018), "Vibration and instability analysis of pipes reinforced by SiO2 nanoparticles considering agglomeration effects", Comput. Concr., 21(4), 431-440. https://doi.org/10.12989/cac.2018.21.4.431
  7. Hadji, L., Bernard, F., Safa, A. and Tounsi, A.J.A.i.M.R. (2021), "Bending and free vibration analysis for FGM plates containing various distribution shape of porosity", Adv. Mater. Res., 10(2), 115. http://doi.org/10.12989/amr.2021.10.2.115.
  8. Hajmohammad, M.H., Sharif Zarei, M., Nouri, A. and Kolahchi, R. (2017), "Dynamic buckling of sensor/functionally graded-carbon nanotube-reinforced laminated plates/actuator based on sinusoidal-visco-piezoelasticity theories", J. Sandw. Struct. Mater., 1099636217720373. https://doi.org/10.1177/1099636217720373.
  9. 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.
  10. 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.
  11. 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 Dynam. Earthq. Eng., 110, 18-27. https://doi.org/10.1016/j.soildyn.2018.04.002
  12. 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.
  13. Hajmohammad, M.H., Kolahchi, R., Zarei, M.S. and Nouri, A.H. (2019b), "Dynamic response of auxetic honeycomb plates integrated with agglomerated CNT-reinforced face sheets subjected to blast load based on visco-sinusoidal theory", Int. J. Mech. Sci., 153, 391-401. https://doi.org/10.1016/j.ijmecsci.2019.02.008.
  14. Hajmohammad, M.H., Zarei, M.S., Kolahchi, R. and Karami, H. (2019c), "Visco-piezoelasticity-zigzag theories for blast response of porous beams covered by graphene platelet-reinforced piezoelectric layers", J. Sandw. Struct. Mater., 1099636219839175. https://doi.org/10.1177/1099636219839175.
  15. 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.
  16. 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. Concr., 21(5), 569-582. https://doi.org/10.12989/cac.2018.21.5.569.
  17. Jafarian Arani, A. and Kolahchi, R. (2016), "Buckling analysis of embedded laminated porous concrete beams armed with carbon nanotubes", Comput. Concr., 17(5), 567-578. https://doi.org/10.12989/cac.2016.17.5.567.
  18. 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.
  19. Jamali, M., Shojaee, T., Mohammadi, B. and Kolahchi, R. (2019), "Cut out effect on nonlinear post-buckling behavior of FG-CNTRC 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.
  20. 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.
  21. 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), 195-200. https://doi.org/10.12989/scs.2018.28.2.195.
  22. Keshtegar, B., Farrokhian, A., Kolahchi, R. and Trung, N.T. (2020a), "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.
  23. Keshtegar, B., Motezaker, M., Kolahchi, R. and Trung, N.T. (2020b), "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.
  24. 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.
  25. Kolahchi, R. (2017), "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.
  26. 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.
  27. Kolahchi, R., Zarei, M.S., Hajmohammad, M.H. and Nouri, A. (2017), "Wave propagation of embedded viscoelastic FG-CNT-reinforced 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.
  28. Mudhaffar, I.M., Tounsi, A., Chikh, A., Al-Osta, M.A., Al-Zahrani, M.M. and Al-Dulaijan, S.U. (2021), "Hygro-thermo-mechanical bending behavior of advanced functionally graded ceramic metal plate resting on a viscoelastic foundation", Structures, 33, 2177-2189. https://doi.org/10.1016/j.istruc.2021.05.090.
  29. Nam, V.H., Trung, N.T., Phuong, N.T., Duc, V.M. and Hung, V.T. (2020), "Nonlinear torsional buckling of functionally graded carbon nanotube orthogonally reinforced composite cylindrical shells in thermal environment", Int. J. Appl., 12(7), 2050072. https://doi.org/10.1142/S1758825120500726.
  30. Nguyen, T.P., Nguyen-Thoi, T., Tran, D.K., Ho, D.T. and Vu, H.N. (2020), "Nonlinear vibration of full-filled fluid corrugated sandwich functionally graded cylindrical shells", J. Vib. Control, 27(9-10), 1020-103510. https://doi.org/10.1177/1077546320936537
  31. Ninh, D.G., Quan, N.M. and Hoang, V.N.V. (2021), "Thermally vibrational analyses of functionally graded graphene nanoplatelets reinforced funnel shells with different complex shapes surrounded by elastic foundation", Mech. Adv. Mater. Struct., 1-23. https://doi.org/10.1080/15376494.2021.1934763.
  32. Thi Phuong, N., Hoai Nam, V. and Thuy Dong, D. (2018), "Nonlinear vibration of functionally graded sandwich shallow spherical caps resting on elastic foundations by using first-order shear deformation theory in thermal environment", J. Sandw. Struct. Mater., 22(4), 1157-1183. https://doi.org/10.1177/1099636218782645.
  33. Tho Hung, V., Thuy Dong, D., Thi Phuong, N., Ngoc Ly, L., Quang Minh, T., Trung, N.T. and Hoai Nam, V. (2020), "Nonlinear buckling behavior of spiral corrugated sandwich FGM cylindrical shells surrounded by an elastic medium", Materials, 13(8),https://doi.org/10.3390/ma13081984.
  34. Yaylaci, M., Adiyaman, G., Oner, E., Birinci, A.J.S.E. and Mechanics (2020), "Examination of analytical and finite element solutions regarding contact of a functionally graded layer", Struct. Eng. Mech., 76(3), 325-336. http://doi.org/10.12989/sem.2020.76.3.325.
  35. Zerrouki, R., Karas, A., Zidour, M., Bousahla, A.A., Tounsi, A., Bourada, F., Tounsi, A., Benrahou, K.H., Mahmoud, S.J.S.E. and Mechanics (2021), "Effect of nonlinear FG-CNT distribution on mechanical properties of functionally graded nano-composite beam", Struct. Eng. Mech., 78(2), 117-124. http://doi.org/10.12989/sem.2021.78.2.117.