DOI QR코드

DOI QR Code

Using nanotechnology for improving the mechanical behavior of spherical impactor in sport problem via complex networks

  • Bo Jin Cheng (School of Physical Education, Guangzhou Sport University) ;
  • Peng Cheng (Department of Public Physical, Changchun Humanities and Sciences College) ;
  • Lijun Wang (International College, Krirk University)
  • 투고 : 2021.05.16
  • 심사 : 2023.06.13
  • 발행 : 2023.10.10

초록

The network theory studies interconnection between discrete objects to find about the behavior of a collection of objects. Also, nanomaterials are a collection of discrete atoms interconnected together to perform a specific task of mechanical or/and electrical type. Therefore, it is reasonable to use the network theory in the study of behavior of super-molecule in sport nano-scale. In the current study, we aim to examine vibrational behavior of spherical nanostructured composite with different geometrical and materials properties. In this regard, a specific shear deformation displacement theory, classical elasticity theory and analytical solution to find the natural frequency of the spherical nano-composite sport structure equipment. The analytical results are validated by comparison to finite element (FE). Further, a detail comprehensive results of frequency variations are presented in terms of different parameters. It is revealed that the current methodology provides accurate results in comparison to FE results. On the other hand, different geometrical and weight fraction have influential role in determining frequency of the structure.

키워드

참고문헌

  1. Adamian, A., Safari, K.H., Sheikholeslami, M., Habibi, M., Al-Furjan, M. and Chen, G. (2020), "Critical temperature and frequency characteristics of GPLs-reinforced composite doubly curved panel", Appl. Sci.. 10(9), 3251. https://doi.org/10.3390/app10093251.
  2. Adhikari, S., Gilchrist, D., Murmu, T. and McCarthy, M. (2015), "Nonlocal normal modes in nanoscale dynamical systems", Mech. Syst. Signal Processing. 60, 583-603. https://doi.org/10.1016/j.ymssp.2014.12.004.
  3. Afshari, H. and Adab, N. (2020), "Size-dependent buckling and vibration analyses of GNP reinforced microplates based on the quasi-3D sinusoidal shear deformation theory", Mech. Based Des. Struct. Machines.
  4. Akgoz, B. and Civalek, O . (2011), "Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams", Int. J. Eng. Sci.. 49(11), 1268- 1280. https://doi.org/10.1016/j.ijengsci.2010.12.009.
  5. Al-Furjan, M., Dehini, R., Khorami, M., Habibi, M. and Won Jung, D. (2020a), "On the dynamics of the ultra-fast rotating cantilever orthotropic piezoelectric nanodisk based on nonlocal strain gradient theory", Compos. Struct., 112990. https://doi.org/10.1016/j.compstruct.2020.112990.
  6. Al-Furjan, M., Fereidouni, M., Habibi, M., Abd Ali, R., Ni, J. and Safarpour, M. (2020b), "Influence of in-plane loading on the vibrations of the fully symmetric mechanical systems via dynamic simulation and generalized differential quadrature framework", Eng. Comput., 1-23. https://doi.org/10.1007/s00366-020-01177-7.
  7. Al-Furjan, M., Fereidouni, M., Sedghiyan, D., Habibi, M. and won Jung, D. (2020c), "Three-dimensional frequency response of the CNT-Carbon-Fiber reinforced laminated circular/annular plates under initially stresses", Compos. Struct., 113146. https://doi.org/10.1016/j.compstruct.2020.113146.
  8. Al-Furjan, M., Habibi, M., Ghabussi, A., Safarpour, H., Safarpour, M. and Tounsi, A. (2021a), "Non-polynomial framework for stress and strain response of the FG-GPLRC disk using three-dimensional refined higher-order theory", Eng. Struct., 228, 111496.
  9. Al-Furjan, M., Habibi, M., won Jung, D., Sadeghi, S., Safarpour, H., Tounsi, A. and Chen, G. (2020d), "A computational framework for propagated waves in a sandwich doubly curved nanocomposite panel", Eng. Comput., 1-18. https://doi.org/10.1007/s00366-020-01130-8.
  10. Al-Furjan, M., Habibi, M., won Jung, D. and Safarpour, H. (2020e), "Vibrational characteristics of a higher-order laminated composite viscoelastic annular microplate via modified couple stress theory", Compos. Struct., 113152. https://doi.org/10.1016/j.compstruct.2020.113152.
  11. Al-Furjan, M., Moghadam, S.A., Dehini, R., Shan, L., Habibi, M. and Safarpour, H. (2020f), "Vibration control of a smart shell reinforced by graphene nanoplatelets under external load: Semi-numerical and finite element modeling", Thin-Wall. Struct., 107242. https://doi.org/10.1016/j.tws.2020.107242.
  12. Al-Furjan, M., Oyarhossein, M.A., Habibi, M., Safarpour, H. and Jung, D.W. (2020g), "Frequency and critical angular velocity characteristics of rotary laminated cantilever microdisk via two-dimensional analysis", Thin-Wall. Struct., 157, 107111. https://doi.org/10.1016/j.tws.2020.107111.
  13. Al-Furjan, M.S.H., Moghadam, S.A., Dehini, R., Shan, L., Habibi, M. and Safarpour, H. (2021b), "Vibration control of a smart shell reinforced by graphene nanoplatelets under external load: Semi-numerical and finite element modeling", Thin-Wall. Struct., 159 107242. https://doi.org/10.1016/j.tws.2020.107242.
  14. Al-Furjan, M.S.H., Oyarhossein, M.A., Habibi, M., Safarpour, H., Won Jung, D. and Tounsi, A. (2021c), "On the wave propagation of the multi-scale hybrid nanocomposite doubly curved viscoelastic panel", Compos. Struct., 255, 112947. https://doi.org/10.1016/j.compstruct.2020.112947.
  15. Alipour, M., Torabi, M.A., Sareban, M., Lashini, H., Sadeghi, E., Fazaeli, A., Habibi, M. and Hashemi, R. (2020), "Finite element and experimental method for analyzing the effects of martensite morphologies on the formability of DP steels", Mech. Based Des. Struct. Machines. 48(5), 525-541. https://doi.org/10.1080/15397734.2019.1633343.
  16. Amirabadi, H., Farhatnia, F., Eftekhari, S.A. and Hosseini-Ara, R. (2021), "Wave propagation in rotating functionally graded GPL-reinforced cylindrical shells based on the third-order shear deformation theory", Waves Random Complex Media.
  17. Arefi, M. (2018), "Nonlocal free vibration analysis of a doubly curved piezoelectric nano shell", Steel Compos. Struct., 27(4), 479-493. 10.12989/SCS.2018.27.4.479.
  18. Bai, Y., Alzahrani, B., Baharom, S. and Habibi, M. (2020), "Semi-numerical simulation for vibrational responses of the viscoelastic imperfect annular system with honeycomb core under residual pressure", Engineering with Computers. 1-26. https://doi.org/10.1007/s00366-020-01191-9
  19. Bendine, K., Boukhoulda, F.B., Nouari, M. and Satla, Z. (2016), "Active vibration control of functionally graded beams with piezoelectric layers based on higher order shear deformation theory", Earthq. Eng. Eng. Vib., 15(4), 611-620. https://doi.org/10.1007/s11803-016-0352-y.
  20. Chen, F., Chen, J., Duan, R., Habibi, M. and Khadimallah, M.A. (2022), "Investigation on dynamic stability and aeroelastic characteristics of composite curved pipes with any yawed angle", Compos. Struct., 115195. https://doi.org/10.1016/j.compstruct.2022.115195.
  21. Cheshmeh, E., Karbon, M., Eyvazian, A., Jung, D.W., Habibi, M. and Safarpour, M. (2020), "Buckling and vibration analysis of FG-CNTRC plate subjected to thermo-mechanical load based on higher order shear deformation theory", Mech. Based Des. Struct. Machines. 1-24. https://doi.org/10.1080/15397734.2020.1744005.
  22. Cross, R. (1999), "Impact of a ball with a bat or racket", Amer. J. Phys., 67(8), 692-702. https://doi.org/10.1119/1.19354.
  23. Dai, Z., Jiang, Z., Zhang, L. and Habibi, M. (2021a), "Frequency characteristics and sensitivity analysis of a size-dependent laminated nanoshell", Adv. Nano Res., 10(2), 175. https://doi.org/10.12989/anr.2021.10.2.175.
  24. Dai, Z., Tang, H., Wu, S., Habibi, M., Moradi, Z. and Ali, H.E. (2023a), "Nonlinear consecutive dynamic instabilities of thermally shocked composite circular plates on the softening elastic foundation", Thin-Wall. Struct., 186 110645. https://doi.org/10.1016/j.tws.2023.110645.
  25. Dai, Z., Wu, S., Habibi, M. and Ali, H.E. (2023b), "Application of point interpolation mesh-free method for magneto/electro rheological vibrations of sandwich conical panels", Aeros. Sci. Technol., 108180. https://doi.org/10.1016/j.ast.2023.108180.
  26. Dai, Z., Zhang, L., Bolandi, S.Y. and Habibi, M. (2021b), "On the vibrations of the non-polynomial viscoelastic composite open-type shell under residual stresses", Compos. Struct., 113599. https://doi.org/10.1016/j.compstruct.2021.113599.
  27. De Domenico, D. and Askes, H. (2018), "Stress gradient, strain gradient and inertia gradient beam theories for the simulation of flexural wave dispersion in carbon nanotubes", Compos. Part B: Eng., 153 285-294. https://doi.org/10.1016/j.compositesb.2018.08.083.
  28. Di Sciuva, M. and Sorrenti, M. (2019), "Bending, free vibration and buckling of functionally graded carbon nanotube-reinforced sandwich plates, using the extended Refined Zigzag Theory", Compos. Struct., 227 111324.
  29. Dong, Y., Gao, Y., Zhu, Q., Moradi, Z. and Safa, M. (2022), "TE-GDQE implementation to investigate the vibration of FG composite conical shells considering a frequency controller solid ring", Eng. Anal. Bound. Elements. 138 95-107. https://doi.org/10.1016/j.enganabound.2022.01.017.
  30. Doulabi, A.H., Mequanint, K. and Mohammadi, H. (2014), "Blends and Nanocomposite Biomaterials for Articular Cartilage Tissue Engineering", Materials. 7(7), 5327-5355. https://doi.org/10.3390/ma7075327
  31. Ebrahimi, F. and Barati, M.R. (2017), "Flexural wave propagation analysis of embedded S-FGM nanobeams under longitudinal magnetic field based on nonlocal strain gradient theory", Arab. J. Sci. Eng., 42(5), 1715-1726. 10.1007/s13369-016-2266-4.
  32. Ebrahimi, F., Barati, M.R. and Dabbagh, A. (2016), "A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates", Int. J. Eng. Sci., 107 169-182. https://doi.org/10.1016/j.ijengsci.2016.07.008.
  33. Ebrahimi, F., Habibi, M. and Safarpour, H. (2019a), "On modeling of wave propagation in a thermally affected GNP-reinforced imperfect nanocomposite shell", Eng. Comput., 35(4), 1375-1389. https://doi.org/10.1007/s00366-018-0669-4.
  34. Ebrahimi, F., Hajilak, Z.E., Habibi, M. and Safarpour, H. (2019b), "Buckling and vibration characteristics of a carbon nanotube-reinforced spinning cantilever cylindrical 3D shell conveying viscous fluid flow and carrying spring-mass systems under various temperature distributions", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 233(13), 4590-4605. https://doi.org/10.1177/0954406219832323.
  35. Ebrahimi, F., Hashemabadi, D., Habibi, M. and Safarpour, H. (2020a), "Thermal buckling and forced vibration characteristics of a porous GNP reinforced nanocomposite cylindrical shell", Microsyst. Technol., 26(2), 461-473. https://doi.org/10.1007/s00542-019-04542-9.
  36. Ebrahimi, F., Mohammadi, K., Barouti, M.M. and Habibi, M. (2019c), "Wave propagation analysis of a spinning porous graphene nanoplatelet-reinforced nanoshell", Waves Random Complex Media. 1-27. https://doi.org/10.1080/17455030.2019.1694729
  37. Ebrahimi, F., Supeni, E.E.B., Habibi, M. and Safarpour, H. (2020b), "Frequency characteristics of a GPL-reinforced composite microdisk coupled with a piezoelectric layer", Europ. Phys. J. Plus. 135(2), 144. https://doi.org/10.1140/epjp/s13360-020-00217-x.
  38. Eltayeb, N.E. and Khan, A. (2019), "Design and preparation of a new and novel nanocomposite with CNTs and its sensor applications", J. Mater. Res. Technol., 8(2), 2238-2246. https://doi.org/10.1016/j.jmrt.2019.03.002
  39. Eringen, A.C. (1987), "Theory of nonlocal elacity and some applications", Res Mechanica. 21(4), 313-342.
  40. Eringen, A.C. and Edelen, D. (1972), "On nonlocal elasticity", Int. J. Eng. Sci., 10(3), 233-248. https://doi.org/10.1016/0020-7225(72)90039-0.
  41. Eringen, A.C. and Wegner, J. (2003), "Nonlocal continuum field theories", Appl. Mech. Rev., 56(2), B20-B22. https://doi.org/10.1115/1.1553434
  42. Esmailpoor Hajilak, Z., Pourghader, J., Hashemabadi, D., Sharifi Bagh, F., Habibi, M. and Safarpour, H. (2019), "Multilayer GPLRC composite cylindrical nanoshell using modified strain gradient theory", Mech. Based Des. Struct. Machines. 47(5), 521-545. https://doi.org//10.1080/15397734.2019.1566743.
  43. Fan, L., Huang, Y., Ji, D., Moradi, Z., Safa, M. and Amine Khadimallah, M. (2022a), "Interaction of angular velocity and temperature rise in the thermo-inertia bifurcation buckling of FG laminated nanocomposite annular plates", Eng. Struct., 265 114518. https://doi.org/10.1016/j.engstruct.2022.114518.
  44. Fan, L., Kong, D., Song, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2022b), "Optimization dynamic responses of laminated multiphase shell in thermo-electro-mechanical conditions", Adv. Nano Res., 13(1), 29-45.
  45. Fang, Z., Zhu, Z., Wu, P. and Moradi, Z. (2023), "Vibration and damping analysis of sandwich electrorheological fluid deep arches with bi-directional FGM containers", Eng. Struct., 276, 115325.
  46. Fazaeli, A., Habibi, M. and Ekrami, A.a. (2016), "Experimental and finite element comparison of mechanical properties and formability of dual phase steel and ferrite - pearlite steel with the same chemical composition", Metallurgic. Eng., 19(2), 84-93. http://dx.doi.org/10.22076/me.2017.41458.1064
  47. Fleck, N., Muller, G., Ashby, M. and Hutchinson, J. (1994), "Strain gradient plasticity: theory and experiment", Acta Metallurgica et Materialia. 42(2), 475-487. https://doi.org/10.1016/0956-7151(94)90502-9
  48. Fu, L., Ma, X., Liu, Y., Xu, Z. and Sun, Z. (2022), "Applying nanotechnology to boost cancer immunotherapy by promoting immunogenic cell death", Chinese Chemical Letters. 33(4), 1718-1728. https://doi.org/10.1016/j.cclet.2021.10.074.
  49. Ghabussi, A., Habibi, M., NoormohammadiArani, O., Shavalipour, A., Moayedi, H. and Safarpour, H. (2020), "Frequency characteristics of a viscoelastic graphene nanoplatelet-reinforced composite circular microplate", J. Vib. Control. 1077546320923930. https://doi.org/10.1177/1077546320923930.
  50. Ghazanfari, A., Soleimani, S.S., Keshavarzzadeh, M., Habibi, M., Assempuor, A. and Hashemi, R. (2020), "Prediction of FLD for sheet metal by considering through-thickness shear stresses", Mech. Based Des. Struct. Machines. 48(6), 755-772. https://doi.org/10.1080/15397734.2019.1662310.
  51. Gholami, R. and Ansari, R. (2019), "On the nonlinear vibrations of polymer nanocomposite rectangular plates reinforced by graphene nanoplatelets: a unified higher-order shear deformable model", Iran. J. Sci. Technol. Transact. Mech. Eng., 43(1), 603-620. https://doi.org/10.1007/s40997-018-0182-9.
  52. Guo, J., Baharvand, A., Tazeddinova, D., Habibi, M., Safarpour, H., Roco-Videla, A. and Selmi, A. (2021a), "An intelligent computer method for vibration responses of the spinning multi-layer symmetric nanosystem using multi-physics modeling", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-021-01433-4.
  53. Guo, Y., Mi, H. and Habibi, M. (2021b), "Electromechanical energy absorption, resonance frequency, and low-velocity impact analysis of the piezoelectric doubly curved system", Mech. Syst. Signal Processing. 157, 107723. https://doi.org/10.1016/j.ymssp.2021.107723.
  54. Habibi, M., Darabi, R., Sa, J.C.D. and Reis, A. (2021a), "An innovation in finite element simulation via crystal plasticity assessment of grain morphology effect on sheet metal formability", Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications. 235(8), 1937-1951. https://doi.org/10.1177/14644207211024686.
  55. Habibi, M., Ghazanfari, A., Assempour, A., Naghdabadi, R. and Hashemi, R. (2017), "Determination of forming limit diagram using two modified finite element models", Mech Eng. 48(4), 141-144. https://doi.org/10.22060/MEJ.2016.664
  56. Habibi, M., Hashemabadi, D. and Safarpour, H. (2019a), "Vibration analysis of a high-speed rotating GPLRC nanostructure coupled with a piezoelectric actuator", Europ. Phys. J. Plus. 134(6), 307. https://doi.org/10.1140/epjp/i2019-12742-7.
  57. Habibi, M., Hashemi, R., Ghazanfari, A., Naghdabadi, R. and Assempour, A. (2018a), "Forming limit diagrams by including the M-K model in finite element simulation considering the effect of bending", Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications. 232(8), 625-636. https://doi.org/10.1177/1464420716642258
  58. Habibi, M., Hashemi, R., Sadeghi, E., Fazaeli, A., Ghazanfari, A. and Lashini, H. (2016), "Enhancing the mechanical properties and formability of low carbon steel with dual-phase microstructures", J. Mater. Eng. Perform., 25(2), 382-389. https://doi.org/10.1007/s11665-016-1882-1
  59. Habibi, M., Hashemi, R., Tafti, M.F. and Assempour, A. (2018b), "Experimental investigation of mechanical properties, formability and forming limit diagrams for tailor-welded blanks produced by friction stir welding", J. Manufact. Processes. 31, 310-323. https://doi.org/10.1016/j.jmapro.2017.11.009
  60. Habibi, M., Mohammadgholiha, M. and Safarpour, H. (2019b), "Wave propagation characteristics of the electrically GNP-reinforced nanocomposite cylindrical shell", J. Brazil. Soc. Mech. Sci. Eng., 41(5), 221. https://doi.org/10.1007/s40430-019-1715-x.
  61. Habibi, M., Mohammadi, A., Safarpour, H. and Ghadiri, M. (2019c), "Effect of porosity on buckling and vibrational characteristics of the imperfect GPLRC composite nanoshell", Mech. Based Des. Struct. Machines. 1-30.
  62. Habibi, M., Mohammadi, A., Safarpour, H. and Ghadiri, M. (2021b), "Effect of porosity on buckling and vibrational characteristics of the imperfect GPLRC composite nanoshell", Mech. Based Des. Struct. Machines. 49(6), 811-840. https://doi.org/10.1080/15397734.2019.1701490.
  63. Habibi, M., Mohammadi, A., Safarpour, H., Shavalipour, A. and Ghadiri, M. (2019d), "Wave propagation analysis of the laminated cylindrical nanoshell coupled with a piezoelectric actuator", Mech. Based Des. Struct. Machines. 1-19. https://doi.org/10.1080/15397734.2019.1697932.
  64. Habibi, M., Safarpour, M. and Safarpour, H. (2020), "Vibrational characteristics of a FG-GPLRC viscoelastic thick annular plate using fourth-order Runge-Kutta and GDQ methods", Mech. Based Des. Struct. Machines. 1-22. https://doi.org/10.1080/15397734.2020.1779086.
  65. Habibi, M., Taghdir, A. and Safarpour, H. (2019e), "Stability analysis of an electrically cylindrical nanoshell reinforced with graphene nanoplatelets", Compos. Part B: Eng., 175 107125. https://doi.org/10.1016/j.compositesb.2019.107125.
  66. Hadjesfandiari, A.R. and Dargush, G.F. (2011), "Couple stress theory for solids", Int. J. Solids Struct., 48(18), 2496-2510. https://doi.org/10.1016/j.ijsolstr.2011.05.002
  67. Hashemi, H.R., Alizadeh, A.a., Oyarhossein, M.A., Shavalipour, A., Makkiabadi, M. and Habibi, M. (2019), "Influence of imperfection on amplitude and resonance frequency of a reinforcement compositionally graded nanostructure", Waves Random Complex Media. 1-27. https://doi.org/10.1080/17455030.2019.1662968.
  68. He, X., Ding, J., Habibi, M., Safarpour, H. and Safarpour, M. (2021), "Non-polynomial framework for bending responses of the multi-scale hybrid laminated nanocomposite reinforced circular/annular plate", Thin-Wall. Struct., 166 108019. https://doi.org/10.1016/j.tws.2021.108019.
  69. Heidari, F., Taheri, K., Sheybani, M., Janghorban, M. and Tounsi, A. (2021), "On the mechanics of nanocomposites reinforced by wavy/defected/aggregated nanotubes", Steel Compos. Struct., 38(5), 533-545.
  70. Hennig, E.M. (2007), "Influence of racket properties on injuries and performance in tennis", Exercise Sport Sci. Rev., 35(2), 62-66. https://doi.org/10.1249/JES.0b013e31803ec43e.
  71. Hou, F., Wu, S., Moradi, Z. and Shafiei, N. (2021), "The computational modeling for the static analysis of axially functionally graded micro-cylindrical imperfect beam applying the computer simulation", Engineering with Computers.
  72. Hu, P., Moradi, Z., Ali, H.E. and Foong, L.K. (2022a), "Metaheuristic-reinforced neural network for predicting the compressive strength of concrete", Smart Struct. Syst., 30(2), 195-207.
  73. Hu, Z., Ren, L., Wei, G., Qian, Z., Liang, W., Chen, W., Lu, X., Ren, L. and Wang, K. (2022b), "Energy flow and functional behavior of individual muscles at different speeds during human walking", IEEE Transact. Neural Syst. Rehab. Eng., 31 294-303. https://doi.org/10.1109/TNSRE.2022.3221986.
  74. Huang, X., Hao, H., Oslub, K., Habibi, M. and Tounsi, A. (2021a), "Dynamic stability/instability simulation of the rotary size-dependent functionally graded microsystem", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-021-01399-3.
  75. Huang, X., Zhang, Y., Moradi, Z. and Shafiei, N. (2022), "Computer simulation via a couple of homotopy perturbation methods and the generalized differential quadrature method for nonlinear vibration of functionally graded non-uniform micro-tube", Eng. Comput., 38(Suppl 3), 2481-2498. https://doi.org/10.1007/s00366-021-01395-7.
  76. Huang, X., Zhu, Y., Vafaei, P., Moradi, Z. and Davoudi, M. (2021b), "An iterative simulation algorithm for large oscillation of the applicable 2D-electrical system on a complex nonlinear substrate", Eng. Comput., 1-13. https://doi.org/10.1007/s00366-021-01320-y.
  77. Hussain, M., Naeem Muhammad, N., Khan Muhammad, S. and Tounsi, A. (2020), "Computer-aided approach for modelling of FG cylindrical shell sandwich with ring supports", Comput. Concrete. 25(5), 411-425. https://doi.org/10.12989/cac.2020.25.5.411.
  78. Jiao, J., Ghoreishi, S.-m., Moradi, Z. and Oslub, K. (2021), "Coupled particle swarm optimization method with genetic algorithm for the static-dynamic performance of the magneto-electro-elastic nanosystem", Eng. Comput., 1-15. https://doi.org/10.1007/s00366-021-01391-x.
  79. Jin, H.-Y., Wang, Z.-A. and Wu, L. (2022), "Global dynamics of a three-species spatial food chain model", J. Different. Equ., 333 144-183. https://doi.org/10.1016/j.jde.2022.06.007.
  80. Jin, X., Moradi, Z. and Rashidi, R. (2023), "Optimal operation of distributed generations in four-wire unbalanced distribution systems considering different models of loads", Int. Transact. Electric, Energy Syst.. 2023. https://doi.org/10.1155/2023/8763116.
  81. Karami, B. and Shahsavari, D. (2019), "Nonlocal strain gradient model for thermal stability of FG nanoplates integrated with piezoelectric layers", Smart Struct. Syst., 23(3), 215-225. https://doi.org/10.12989/SSS.2019.23.3.215.
  82. Karimiasl, M., Ebrahimi, F. and Mahesh, V. (2019), "Nonlinear forced vibration of smart multiscale sandwich composite doubly curved porous shell", Thin-Wall. Struct., 143 106152. https://doi.org/10.1016/j.tws.2019.04.044.
  83. Kong, F., Dong, F., Duan, M., Habibi, M., Safarpour, H. and Tounsi, A. (2022), "On the vibrations of the Electrorheological sandwich disk with composite face sheets considering pre and post-yield regions", Thin-Wall. Struct., 179, 109631. https://doi.org/10.1016/j.tws.2022.109631.
  84. Kong, S. (2022), "A review on the size-dependent models of micro-beam and micro-plate based on the modified couple stress theory", Archiv. Comput. Meth. Eng,. 29(1), 1-31. https://doi.org/10.1007/s11831-021-09567-w.
  85. Lam, D.C.C., Yang, F., Chong, A.C.M., Wang, J. and Tong, P. (2003), "Experiments and theory in strain gradient elasticity", J. Mech. Phys. Solids. 51(8), 1477-1508. https://doi.org/10.1016/S0022-5096(03)00053-X.
  86. Li, J., Tang, F. and Habibi, M. (2020a), "Bi-directional thermal buckling and resonance frequency characteristics of a GNP-reinforced composite nanostructure", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-020-01110-y.
  87. Li, X., Li, L. and Hu, Y. (2018), "Instability of functionally graded micro-beams via micro-structure-dependent beam theory", Appl. Mathem. Mech., 39(7), 923-952. https://doi.org/10.1007/s10483-018-2343-8.
  88. Li, Y., Li, S., Guo, K., Fang, X. and Habibi, M. (2020b), "On the modeling of bending responses of graphene-reinforced higher order annular plate via two-dimensional continuum mechanics approach", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-020-01166-w.
  89. Lim, C., Zhang, G. and Reddy, J. (2015), "A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation", J. Mech. Phys. Solids. 78, 298-313. https://doi.org/10.1016/j.jmps.2015.02.001.
  90. Liu, A.-A., Zhai, Y., Xu, N., Nie, W., Li, W. and Zhang, Y. (2021a), "Region-aware image captioning via interaction learning", IEEE Transact. Circuits Syst. Video Technol., 32(6), 3685-3696. https://doi.org/10.1109/TCSVT.2021.3107035.
  91. Liu, H., Shen, S., Oslub, K., Habibi, M. and Safarpour, H. (2021b), "Amplitude motion and frequency simulation of a composite viscoelastic microsystem within modified couple stress elasticity", Eng. Comput., 1-15. https://doi.org/10.1007/s00366-021-01316-8.
  92. Liu, H., Zhao, Y., Pishbin, M., Habibi, M., Bashir, M. and Issakhov, A. (2021c), "A comprehensive mathematical simulation of the composite size-dependent rotary 3D microsystem via two-dimensional generalized differential quadrature method", Eng. Comput., 1-16. https://doi.org/10.1007/s00366-021-01419-2.
  93. Liu, Y., Wang, W., He, T., Moradi, Z. and Larco Benitez, M.A. (2021d), "On the modelling of the vibration behaviors via discrete singular convolution method for a high-order sector annular system", Eng. Comput., 1-23.
  94. Liu, Z., Su, S., Xi, D. and Habibi, M. (2020a), "Vibrational responses of a MHC viscoelastic thick annular plate in thermal environment using GDQ method", Mech. Based Des. Struct. Machines. 1-26. https://doi.org/10.1080/15397734.2020.1784201.
  95. Liu, Z., Wu, X., Yu, M. and Habibi, M. (2020b), "Large-amplitude dynamical behavior of multilayer graphene platelets reinforced nanocomposite annular plate under thermo-mechanical loadings", Mech. Based Des. Struct. Machines. 1-25. https://doi.org/10.1080/15397734.2020.1815544.
  96. Lori, E.S., Ebrahimi, F., Supeni, E.E.B., Habibi, M. and Safarpour, H. (2020), "The critical voltage of a GPL-reinforced composite microdisk covered with piezoelectric layer", Eng. Comput., 1-20. https://doi.org/10.1007/s00366-020-01004-z.
  97. Lu, S., Liu, S., Hou, P., Yang, B., Liu, M., Yin, L. and Zheng, W. (2023a), "Soft Tissue Feature Tracking Based on DeepMatching Network", CMES-Comput. Modeling Eng. Sci.. 136(1). https://doi.org/10.32604/cmes.2023.025217.
  98. Lu, S., Yang, J., Yang, B., Yin, Z., Liu, M., Yin, L. and Zheng, W. (2023b), "Analysis and design of surgical instrument localization algorithm", CMES-Comput. Modeling Eng. Sci., 137(1). https://doi.org/10.32604/cmes.2023.027417.
  99. Luo, J., Song, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2022a), "Effect of simultaneous compressive and inertia loads on the bifurcation stability of shear deformable functionally graded annular fabrications reinforced with graphenes", Europ. J. Mech. A/Solids. 104581. https://doi.org/10.1016/j.euromechsol.2022.104581.
  100. Luo, J., Wu, S., Hou, S., Moradi, Z., Habibi, M. and Khadimallah, M.A. (2022b), "Thermally nonlinear thermoelasticity of a one-dimensional finite domain based on the finite strain concept", Europ. J. Mech. - A/Solids. 104726. https://doi.org/10.1016/j.euromechsol.2022.104726.
  101. Lyu, W. and Wang, Z.-A. (2021), "Global classical solutions for a class of reaction-diffusion system with density-suppressed motility", arXiv preprint arXiv:2102.08042. https://doi.org/10.3934/era.20220521.
  102. Ma, L., Liu, X. and Moradi, Z. (2021), "On the chaotic behavior of graphene-reinforced annular systems under harmonic excitation", Eng. Comput., 1-25. https://doi.org/10.1007/s00366-020-01210-9.
  103. Manin, L., Poggi, M. and Havard, N. (2012), "Vibrations of table tennis racket composite wood blades: modeling and experiments", Procedia Engineering. 34 694-699. https://doi.org/10.1016/j.proeng.2012.04.118
  104. Miaofen, L., Youmin, L., Tianyang, W., Fulei, C. and Zhike, P. (2023), "Adaptive synchronous demodulation transform with application to analyzing multicomponent signals for machinery fault diagnostics", Mech. Syst. Signal Processing. 191 110208. https://doi.org/10.1016/j.ymssp.2023.110208.
  105. Michael, M., Meyyazhagan, A., Velayudhannair, K., Pappuswamy, M., Maria, A., Xavier, V., Balasubramanian, B., Baskaran, R., Kamyab, H. and Vasseghian, Y. (2022), "The Content of Heavy Metals in Cigarettes and the Impact of Their Leachates on the Aquatic Ecosystem", Sustainability. 14(8), 4752. https://doi.org/10.3390/su14084752.
  106. Moayedi, H., Aliakbarlou, H., Jebeli, M., Noormohammadiarani, O., Habibi, M., Safarpour, H. and Foong, L. (2020a), "Thermal buckling responses of a graphene reinforced composite micropanel structure", Int. J. Appl. Mech., 12(01), 2050010. https://doi.org/10.1142/S1758825120500106.
  107. Moayedi, H., Ebrahimi, F., Habibi, M., Safarpour, H. and Foong, L.K. (2020b), "Application of nonlocal strain-stress gradient theory and GDQEM for thermo-vibration responses of a laminated composite nanoshell", Eng. Comput., 1-16. https://doi.org/10.1007/s00366-020-01002-1.
  108. Moayedi, H., Habibi, M., Safarpour, H., Safarpour, M. and Foong, L. (2019), "Buckling and frequency responses of a graphene nanoplatelet reinforced composite microdisk", Int. J. Appl. Mech., 11(10), 1950102. https://doi.org/10.1142/S1758825119501023.
  109. Mohammadgholiha, M., Shokrgozar, A., Habibi, M. and Safarpour, H. (2019), "Buckling and frequency analysis of the nonlocal strain-stress gradient shell reinforced with graphene nanoplatelets", J. Vib. Control. 25(19-20), 2627-2640. https://doi.org/10.1177/1077546319863251.
  110. Mohammadi, A., Lashini, H., Habibi, M. and Safarpour, H. (2019), "Influence of viscoelastic foundation on dynamic behaviour of the double walled cylindrical inhomogeneous micro shell using MCST and with the aid of GDQM", J. Solid Mech., 11(2), 440-453. https://doi.org/10.22034/JSM.2019.665264.
  111. Moradi, Z., Davoudi, M., Ebrahimi, F. and Ehyaei, A.F. (2021), "Intelligent wave dispersion control of an inhomogeneous micro-shell using a proportional-derivative smart controller", Waves Random Complex Media. 1-24. https://doi.org/10.1080/17455030.2021.1926572.
  112. Moradi, Z., Ebrahimi, F. and Davoudi, M. (2022), "Coupled Newmark beta technique and GDQ method for energy harvesting and vibration control of the piezoelectric MEMS/NEMS subjected to a blast load", Eng. Anal. Bound. Elements. 144, 492-506. https://doi.org/10.1016/j.enganabound.2022.08.021
  113. Murakami, H. (1986), "Laminated composite plate theory with improved in-plane responses".
  114. Naderi, A., Behdad, S., Fakher, M. and Hosseini-Hashemi, S. (2020), "Vibration analysis of mass nanosensors with considering the axial-flexural coupling based on the two-phase local/nonlocal elasticity", Mech. Syst. Signal Processing. 145, 106931. https://doi.org/10.1016/j.ymssp.2020.106931.
  115. Naderi, A., Fakher, M. and Hosseini-Hashemi, S. (2021), "On the local/nonlocal piezoelectric nanobeams: Vibration, buckling, and energy harvesting", Mech. Syst. Signal Processing. 151, 107432. https://doi.org/10.1016/j.ymssp.2020.107432.
  116. Najaafi, N., Jamali, M., Habibi, M., Sadeghi, S., Jung, D.W. and Nabipour, N. (2020), "Dynamic instability responses of the substructure living biological cells in the cytoplasm environment using stress-strain size-dependent theory", J. Biomolecular Struct. Dyn., 1-12. https://doi.org/10.1080/07391102.2020.1751297.
  117. Oyarhossein, M.A., Alizadeh, A.A., Habibi, M., Makkiabadi, M., Daman, M., Safarpour, H. and Jung, D.W. (2020a), "Dynamic response of the nonlocal strain-stress gradient in laminated polymer composites microtubes", Sci. Reports. 10(1), 5616. 10.1038/s41598-020-61855-w.
  118. Oyarhossein, M.A., Alizadeh, A.a., Habibi, M., Makkiabadi, M., Daman, M., Safarpour, H. and Jung, D.W. (2020b), "Dynamic response of the nonlocal strain-stress gradient in laminated polymer composites microtubes", Sci. Reports. 10(1), 1-19. https://doi.org/10.1038/s41598-020-61855-w
  119. Park, S.-L., Moon, J.-D., Lee, S.-H. and Shin, S.-Y. (2006), "Effective ozone generation utilizing a meshed-plate electrode in a dielectric-barrier discharge type ozone generator", J. Electrostatic., 64(5), 275-282. https://doi.org/10.1016/j.elstat.2005.06.007.
  120. Peng, S., Habibi, M. and Pourjabari, A. (2023), "Generalized differential quadrature element solution, swarm, and GA optimization technique to obtain the optimum frequency of the laminated rotary nanostructure", Eng. Anal. Bound. Elements. 151, 101-114. https://doi.org/10.1016/j.enganabound.2023.02.052.
  121. Pourjabari, A., Hajilak, Z.E., Mohammadi, A., Habibi, M. and Safarpour, H. (2019), "Effect of porosity on free and forced vibration characteristics of the GPL reinforcement composite nanostructures", Comput. Mathem. Appl., 77(10), 2608-2626. https://doi.org/10.1016/j.camwa.2018.12.041
  122. Rafiee, M.A., Rafiee, J., Wang, Z., Song, H., Yu, Z.-Z. and Koratkar, N. (2009), "Enhanced mechanical properties of nanocomposites at low graphene content", ACS Nano. 3(12), 3884-3890. https://doi.org/10.1021/nn9010472.
  123. Remond, T., Dolique, V., Vittoz, F., Antony, S., Rinaldi, R.G., Manin, L. and Geminard, J.-C. (2022), "Dynamical buckling of a table-tennis ball impinging normally on a rigid target: Experimental and numerical studies", Phys. Rev. E., 106(1), 014207. https://doi.org/10.1103/PhysRevE.106.014207.
  124. Sabzevari, F., Amelirad, O., Moradi, Z. and Habibi, M. (2023), "Artificial intelligence evaluation of COVID-19 restrictions and speech therapy effects on the autistic children's behavior", Sci. Reports. 13(1), 4312. https://doi.org/10.1038/s41598-022-25902-y.
  125. Safarpour, H., Ghanizadeh, S.A. and Habibi, M. (2018), "Wave propagation characteristics of a cylindrical laminated composite nanoshell in thermal environment based on the nonlocal strain gradient theory", Europ. Phys. J. Plus. 133(12), 532.
  126. Safarpour, H., Hajilak, Z.E. and Habibi, M. (2019a), "A size-dependent exact theory for thermal buckling, free and forced vibration analysis of temperature dependent FG multilayer GPLRC composite nanostructures restring on elastic foundation", Int. J. Mech. Mater. Des,. 15(3), 569-583. https://doi.org/10.1007/s10999-018-9431-8
  127. Safarpour, H., Pourghader, J. and Habibi, M. (2019b), "Influence of spring-mass systems on frequency behavior and critical voltage of a high-speed rotating cantilever cylindrical three-dimensional shell coupled with piezoelectric actuator", J. Vib. Control. 25(9), 1543-1557. https://doi.org/10.1177/1077546319828465.
  128. Safarpour, M., Ebrahimi, F., Habibi, M. and Safarpour, H. (2020), "On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk", Eng. Comput., 1-20. https://doi.org/10.1007/s00366-020-00949-5.
  129. Sahmani, S., Aghdam, M.M. and Rabczuk, T. (2018), "Nonlocal strain gradient plate model for nonlinear large-amplitude vibrations of functionally graded porous micro/nano-plates reinforced with GPLs", Compos. Struct., 198, 51-62. https://doi.org/10.1016/j.compstruct.2018.05.031.
  130. Sankad, G.C. and Nagathan, P.S. (2016), "Unsteady MHD peristaltic flow of a couple stress fluid through porous medium with wall and slip effects", Alexandria Eng. J., 55(3), 2099-2105. https://doi.org/10.1016/j.aej.2016.06.029.
  131. Shahsiah, R. and Eslami, M. (2003), "Thermal buckling of functionally graded cylindrical shell", J. Thermal Stresses. 26(3), 277-294. https://doi.org/10.1080/713855892.
  132. Shao, Y., Zhao, Y., Gao, J. and Habibi, M. (2021), "Energy absorption of the strengthened viscoelastic multi-curved composite panel under friction force", Archives Civil Mech. Eng., 21(4), 1-29. https://doi.org/10.1007/s43452-021-00279-3.
  133. Shariati, A., Habibi, M., Tounsi, A., Safarpour, H. and Safa, M. (2020a), "Application of exact continuum size-dependent theory for stability and frequency analysis of a curved cantilevered microtubule by considering viscoelastic properties", Eng. Comput., 1-20. https://doi.org/10.1007/s00366-020-01024-9.
  134. Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020b), "On the vibrations and stability of moving viscoelastic axially functionally graded nanobeams", Materials. 13(7), 1707. https://doi.org/10.3390/ma13071707.
  135. Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020c), "Stability and dynamics of viscoelastic moving rayleigh beams with an asymmetrical distribution of material parameters", Symmetry. 12(4), 586. https://doi.org/10.3390/sym12040586.
  136. Shariati, M., Kamyab, H., Habibi, M., Ahmadi, S., Naghipour, M., Gorjinezhad, F., Mohammadirad, S. and Aminian, A. (2023), "Sulfuric acid resistance of concrete containing coal waste as a partial substitute for fine and coarse aggregates", Fuel. 348 128311. https://doi.org/10.1016/j.fuel.2023.128311.
  137. She, Q., Hu, R., Xu, J., Liu, M., Xu, K. and Huang, H. (2022), "Learning High-DOF Reaching-and-Grasping via Dynamic Representation of Gripper-Object Interaction", arXiv preprint arXiv:2204.13998. https://doi.org/10.1145/3528223.3530091.
  138. Shen, G. and Fan, Y. (2023), "Wave propagation in a volleyball game ball: finite element and mathematical simulation", Waves Random Complex Media. 1-22. 10.1080/17455030.2023.2168084.
  139. Shokrgozar, A., Safarpour, H. and Habibi, M. (2020), "Influence of system parameters on buckling and frequency analysis of a spinning cantilever cylindrical 3D shell coupled with piezoelectric actuator", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 234(2), 512-529. https://doi.org/10.1177/0954406219883312.
  140. Sun, W., Wang, H. and Qu, R. (2023), "A Novel Data Generation and Quantitative Characterization Method of Motor Static Eccentricity with Adversarial Network", IEEE Transactions Power Electronics. https://doi.org/10.1109/TPEL.2023.3267883.
  141. Tadi Beni, Y., Mehralian, F. and Zeighampour, H. (2016), "The modified couple stress functionally graded cylindrical thin shell formulation", Mech. Adv. Mater. Struct., 23(7), 791-801. https://doi.org/10.1080/15376494.2015.1029167.
  142. Tang, Y., Liu, S., Deng, Y., Zhang, Y., Yin, L. and Zheng, W. (2021), "An improved method for soft tissue modeling", Biomedic. Signal Processing Control. 65, 102367. https://doi.org/10.1016/j.bspc.2020.102367.
  143. Tian, H., Lin, L., Ba, Z., Xue, F., Li, Y. and Zeng, W. (2021), "Nanotechnology combining photoacoustic kinetics and chemical kinetics for thrombosis diagnosis and treatment", Chinese Chemical Letters. 32(12), 3665-3674. https://doi.org/10.1016/j.cclet.2021.05.070.
  144. Tian, L.-M., Jin, B.-B. and Li, L. (2023a), "Axial Compressive Mechanical Behaviors of a Double-Layer Member", J. Struct. Eng., 149(8), 04023110. https://doi.org/10.1061/JSENDH.STENG-12175.
  145. Tian, L.-M., Li, M.-H., Li, L., Li, D.-Y. and Bai, C. (2023b), "Novel joint for improving the collapse resistance of steel frame structures in column-loss scenarios", Thin-Wall. Struct., 182, 110219. https://doi.org/10.1016/j.tws.2022.110219.
  146. Tornabene, F., Viola, E. and Inman, D.J. (2009), "2-D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical shell and annular plate structures", J. Sound Vib., 328(3), 259-290. https://doi.org/10.1016/j.jsv.2009.07.031.
  147. Vodenitcharova, T. and Zhang, L. (2006), "Bending and local buckling of a nanocomposite beam reinforced by a single-walled carbon nanotube", Int. J. Solids Struct., 43(10), 3006-3024. https://doi.org/10.1016/j.ijsolstr.2005.05.014
  148. Wang, F., Wang, H., Zhou, X. and Fu, R. (2022a), "A Driving Fatigue Feature Detection Method Based on Multifractal Theory", IEEE Sensors J., 22(19), 19046-19059. 10.1109/JSEN.2022.3201015.
  149. Wang, H., Habibi, M., Marzouki, R., Majdi, A., Shariati, M., Denic, N., Zakic, A., Khorami, M., Khadimallah, M.A. and Ebid, A.A.K. (2022b), "Improving the self-healing of cementitious materials with a hydrogel system", Gels. 8(5), 278. https://doi.org/10.3390/gels8050278.
  150. Wang, J., Liang, F., Zhou, H., Yang, M. and Wang, Q. (2022c), "Analysis of position, pose and force decoupling characteristics of a 4-UPS/1-RPS parallel grinding robot", Symmetry. 14(4), 825. https://doi.org/10.3390/sym14040825.
  151. Wang, P., Gao, Z., Pan, F., Moradi, Z., Mahmoudi, T. and Khadimallah, M.A. (2022d), "A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bi-directional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory", Eng. Anal. Bound. Elements. 143, 124-136. https://doi.org/10.1016/j.enganabound.2022.06.007.
  152. Wang, X., Wu, S., Yin, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2023), "On the electromechanical energy absorption of the reinforced composites piezoelectric MEMS via Adaptive neuro-fuzzy inference system and MCS theory", Compos. Struct., 303, 116246. https://doi.org/10.1016/j.compstruct.2022.116246.
  153. Wang, Y., Xie, K., Fu, T. and Shi, C. (2019), "Vibration response of a functionally graded graphene nanoplatelet reinforced composite beam under two successive moving masses", Compos. Struct., 209 928-939. https://doi.org/10.1016/j.compstruct.2018.11.014
  154. Wang, Y., Yang, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2022e), "Nonlinear dynamic analysis of thermally deformed beams subjected to uniform loading resting on nonlinear viscoelastic foundation", Europ. J. Mech.-A/Solids. 95 104638. https://doi.org/10.1016/j.euromechsol.2022.104638.
  155. Wang, Z., Yu, S., Xiao, Z. and Habibi, M. (2020), "Frequency and buckling responses of a high-speed rotating fiber metal laminated cantilevered microdisk", Mech. Adv. Mater. Struct., 1-14. https://doi.org/10.1080/15376494.2020.1824284.
  156. Wu, J. and Habibi, M. (2021), "Dynamic simulation of the ultra-fast-rotating sandwich cantilever disk via finite element and semi-numerical methods", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-021-01396-6.
  157. Xia, W., Du, J., Habibi, M., Shariati, M. and Khadimallah, M.A. (2022), "Application of Chebyshev-based GDQ and Newmark methods to viscothermoelasticity responses of FG composite annular systems", Eng. Anal. Bound. Elements. 143, 28-42. https://doi.org/10.1016/j.enganabound.2022.06.003.
  158. Xiang, J., Lai, Y., Moradi, Z. and Khorami, M. (2023), "Wave propagation phenomenon of functionally graded graphene oxide powder-strengthened nanocomposite curved beam", Solid State Communications. 115193. https://doi.org/10.1016/j.ssc.2023.115193.
  159. Xiong, Q.-M., Chen, Z., Huang, J.-T., Zhang, M., Song, H., Hou, X.-F., Li, X.-B. and Feng, Z.-J. (2020), "Preparation, structure and mechanical properties of Sialon ceramics by transition metal-catalyzed nitriding reaction", Rare Metals. 39(5), 589-596. https://doi.org/10.1007/s12598-020-01385-6
  160. Xu, W., Pan, G., Moradi, Z. and Shafiei, N. (2021), "Nonlinear forced vibration analysis of functionally graded non-uniform cylindrical microbeams applying the semi-analytical solution", Compos. Struct., 275, 114395.
  161. Yang, C., Su, C., Hu, H., Habibi, M., Safarpour, H. and Khadimallah, M.A. (2023), "Performance optimization of photovoltaic and solar cells via a hybrid and efficient chimp algorithm", Solar Energy. 253, 343-359. https://doi.org/10.1016/j.solener.2023.02.036.
  162. Yang, N., Moradi, Z., Arvin, H., Muhsen, S. and Khadimallah, M.A. (2022a), "A study on small scale thermal dynamic instability of rotating GPL-reinforced microbeams under principal parametric resonance stimulation of axial and transversal modes regarding the proportional damping", ThinWall. Struct., 180, 109806. https://doi.org/10.1016/j.tws.2022.109806.
  163. Yang, N., Moradi, Z., Khadimallah, M.A. and Arvin, H. (2022b), "Application of the Chebyshev-Ritz route in determination of the dynamic instability region boundary for rotating nanocomposite beams reinforced with graphene platelet subjected to a temperature increment", Eng. Anal. Bound. Elements. 139, 169-179. https://doi.org/10.1016/j.enganabound.2022.03.013.
  164. Yayli, M.O . (2016), "Buckling analysis of a microbeam embedded in an elastic medium with deformable boundary conditions", Micro Nano Lett., 11(11), 741-745. https://doi.org/10.1049/mnl.2016.0257
  165. Yin, L., Qian, Q., Wang, L. and Xia, W. (2010), "Vibration analysis of microscale plates based on modified couple stress theory", Acta Mech. Solida Sinica. 23(5), 386-393. https://doi.org/10.1016/S0894-9166(10)60040-7
  166. Yu, X., Maalla, A. and Moradi, Z. (2022), "Electroelastic high-order computational continuum strategy for critical voltage and frequency of piezoelectric NEMS via modified multi-physical couple stress theory", Mech. Syst. Signal Processing. 165, 108373.
  167. Zare, R., Najaafi, N., Habibi, M., Ebrahimi, F. and Safarpour, H. (2020), "Influence of imperfection on the smart control frequency characteristics of a cylindrical sensor-actuator GPLRC cylindrical shell using a proportional-derivative smart controller", Smart Struct. Syst., 26(4), 469-480. https://doi.org/10.12989/sss.2020.26.4.469.
  168. Zeng, Q., Liu, Z., Niu, T., He, C., Qu, Y. and Qian, Z. (2023), "Application of nanotechnology in CAR-T-cell immunotherapy", Chinese Chemical Lett., 34(3), 107747. https://doi.org/10.1016/j.cclet.2022.107747.
  169. Zenkour, A.M., Arefi, M. and Alshehri, N.A. (2017), "Size-dependent analysis of a sandwich curved nanobeam integrated with piezomagnetic face-sheets", Results Phys., 7, 2172-2182. https://doi.org/10.1016/j.rinp.2017.06.032
  170. Zhang, P., Gao, Y., Moradi, Z., Ali, Y.A. and Khadimallah, M.A. (2022), "A semi-analytical procedure for cross section effect on the buckling and dynamic stability of composite imperfect truncated conical microbeam", Steel Compos. Struct., 44(3), 357-374. https://doi.org/10.12989/scs.2022.44.3.371.
  171. Zhang, S., Lai, Y., Chen, K., Habibi, M., Khorami, M. and Haider Mussa, Z. (2023), "Influence of MWCNT's waviness and aggregation factors on wave dispersion response of MWCNT-strengthened nanocomposite curved beam", Structures. 53, 1239-1249. https://doi.org/10.1016/j.istruc.2023.04.024.
  172. Zhang, Y., Wang, Z., Tazeddinova, D., Ebrahimi, F., Habibi, M. and Safarpour, H. (2021), "Enhancing active vibration control performances in a smart rotary sandwich thick nanostructure conveying viscous fluid flow by a PD controller", Waves Random Complex Media. 1-24. https://doi.org/10.1080/17455030.2021.1948627.
  173. Zhao, H., Li, C., Fu, Y., Oyarhossein, M.A., Habibi, M. and Safarpour, H. (2023), "Quasi-static indentation, low-velocity impact, and resonance responses of the laminated double-curved panel considering various boundary conditions", Thin-Wall. Struct., 183, 110360. https://doi.org/10.1016/j.tws.2022.110360.
  174. Zhao, J., Chen, X., Ho, K.-H., Cai, C., Li, C.-W., Yang, M. and Yi, C. (2021a), "Nanotechnology for diagnosis and therapy of rheumatoid arthritis: Evolution towards theranostic approaches", Chinese Chemical Lett., 32(1), 66-86. https://doi.org/10.1016/j.cclet.2020.11.048.
  175. Zhao, Y., Moradi, Z., Davoudi, M. and Zhuang, J. (2021b), "Bending and stress responses of the hybrid axisymmetric system via state-space method and 3D-elasticity theory", Eng. Comput., 1-23. https://doi.org/10.1007/s00366-020-01242-1.
  176. Zhao, Z., Feng, C., Wang, Y. and Yang, J. (2017), "Bending and vibration analysis of functionally graded trapezoidal nanocomposite plates reinforced with graphene nanoplatelets (GPLs)", Compos. Struct., 180 799-808. https://doi.org/10.1016/j.compstruct.2017.08.044
  177. Zheng, W., Liu, J., Oyarhossein, M.A., Safarpour, H. and Habibi, M. (2023), "Prediction of nth-order derivatives for vibration responses of a sandwich shell composed of a magnetorheological core and composite face layers", Eng. Anal. Bound. Elements. 146, 170-183. https://doi.org/10.1016/j.enganabound.2022.10.019.
  178. Zheng, Y., Jin, H., Jiang, C., Moradi, Z., Khadimallah, M.A. and Moayedi, H. (2022), "Analyzing behavior of circular concrete-filled steel tube column using improved fuzzy models", Steel Compos. Struct., 43(5), 625-637. https://doi.org/10.12989/scs.2022.43.5.625.
  179. Zhou, C., Zhao, Y., Zhang, J., Fang, Y. and Habibi, M. (2020), "Vibrational characteristics of multi-phase nanocomposite reinforced circular/annular system", Advances Nano Res., 9(4), 295-307. https://doi.org/10.12989/anr.2020.9.4.295.
  180. Zhou, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2022a), "Intelligent modeling to investigate the stability of a two-dimensional functionally graded porosity-dependent nanobeam", Comput. Concrete. 30(2), 85-97.
  181. Zhou, L., Moradi, Z., Al-Tamimi, H.M. and Ali, H.E. (2022b), "On propagation of elastic waves in an embedded sigmoid functionally graded curved beam", Steel Compos. Struct., 44(1), 17.
  182. Zhu, L., Ren, H., Habibi, M., Mohammed, K.J. and Khadimallah, M.A. (2022), "Predicting the environmental economic dispatch problem for reducing waste nonrenewable materials via an innovative constraint multi-objective Chimp Optimization Algorithm", J. Cleaner Product., 132697. https://doi.org/10.1016/j.jclepro.2022.132697