Advances in nano research

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Energy absorption of vibrating sport equipment used for testing athlete performance

  • Fuxiang Wang (Institute of Physical Education, Weifang University) ;
  • Shunli Gao (Physical Education Teaching and Research Department of Basic Medical College, Shandong Second Medical University) ;
  • Mostafa Habibi (Universidad UTE, Facultad de Arquitectura y Urbanismo) ;
  • Zhonghua Luo (Institute Sciences and Design of AL-Kharj)
  • Received : 2022.12.29
  • Accepted : 2024.10.08
  • Published : 2024.11.25
⟨ Previous Next ⟩

Abstract

This study investigates the stability of a doubly-curved electrical shell structure under dynamic impact loads using both theoretical and analytical methods. The curved electrical shell is designed to absorb energy from deformation and is subjected to loads from a spherical impactor with various boundary conditions. The shell's behavior is mathematically modeled using von Kármán shell theory to derive the displacement field, while its electrical characteristics are described by Maxwell's equations. The mechanical model assumes linear elastic behavior, and the impactor's contact interactions are governed by Hertz's contact law. The influence of external loads and boundary conditions on the internal stress distribution of the shell is analyzed using the principle of energy conservation. In addition to the analytical approach, a finite element model is developed using the Abaqus dynamic/explicit package, allowing for a comparison between analytical and numerical results. The findings are presented through a parametric study that examines the effects of geometry, material properties, and boundary and loading conditions. This parametric analysis highlights the optimal conditions for ensuring the stability of the curved electrical shell structure.

Keywords

References

  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. Ahmadi, S.A., Pashaei, M.H. and Jafari-Talookolaei, R.A. (2019), "Three-dimensional elastic-plastic pulse response and energy absorption of curved composite sandwich panel using DQ-Newmark method", Eng. Struct., 189, 111-128. https://doi.org/10.1016/j.engstruct.2019.03.041
  3. 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
  4. 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
  5. 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
  6. Al-Furjan, M., Habibi, M., won Jung, D. and Safarpour, H. (2020d), "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
  7. Al-Furjan, M., Moghadam, S.A., Dehini, R., Shan, L., Habibi, M. and Safarpour, H. (2020e), "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
  8. Al-Furjan, M., Oyarhossein, M.A., Habibi, M., Safarpour, H. and Jung, D.W. (2020f), "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
  9. Al-Furjan, M.S.H., Alzahrani, B., Shan, L., Habibi, M. and Jung, D.W. (2020g), "Nonlinear forced vibrations of nanocomposite-reinforced viscoelastic thick annular system under hygrothermal environment", Mech. Based Des. Struct., 1-27. https://doi.org/10.1080/15397734.2020.1824795
  10. Ali, Z., Abdalla, S., Hassan, E.A., Umar, Y. and Al-Mogren, M.M. (2022), "Theoretical study of electronic and optical properties of functionalized Indigo and Alizarin as potential organic semi-conductors for solar cells applications", Mater. Today Commun., 32 104048. https://doi.org/10.1016/j.mtcomm.2022.104048
  11. Alibeigloo, A. and Pasha Zanoosi, A.A. (2017), "Thermo-electro-elasticity solution of functionally graded carbon nanotube reinforced composite cylindrical shell embedded in piezoelectric layers", Compos. Struct., 173, 268-280. https://doi.org/10.1016/j.compstruct.2017.04.027
  12. 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., 48(5), 525-541. https://doi.org/10.1080/15397734.2019.1633343
  13. Arefi, M. (2018), "Nonlocal free vibration analysis of a doubly curved piezoelectric nano shell", Steel Compos. Struct., 27(4), 479-493. https://doi.org/10.12989/SCS.2018.27.4.479
  14. Arefi, M. and Amabili, M. (2020), "A comprehensive electro-magneto-elastic buckling and bending analyses of three-layered doubly curved nanoshell, based on nonlocal three-dimensional theory", Compos. Struct., 113100. https://doi.org/10.1016/j.compstruct.2020.113100
  15. 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", Eng. Comput., 1-26. https://doi.org/10.1007/s00366-020-01191-9
  16. Carrera, E. and Zozulya, V.V. (2022), "Carrera unified formulation (CUF) for the micropolar plates and shells. I. Higher order theory", Mech. Adv. Mater. Struct., 29(6), 773-795. https://doi.org/10.1080/15376494.2020.1793241
  17. 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
  18. 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., 1-24. https://doi.org/10.1080/15397734.2020.1744005
  19. 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
  20. 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
  21. 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", Aerosp. Sci. Technol., 108180. https://doi.org/10.1016/j.ast.2023.108180
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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 Med., 1-27. https://doi.org/10.1080/17455030.2019.1694729
  27. 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", Eur. Phys. J. Plus, 135(2), 144. https://doi.org/10.1140/epjp/s13360-020-00217-x
  28. Eftekhar, H., Zeynali, H. and Nasihatgozar, M. (2018), "Electro-magneto temperature-dependent vibration analysis of functionally graded-carbon nanotube-reinforced piezoelectric Mindlin cylindrical shells resting on a temperature-dependent, orthotropic elastic medium", Mech. Adv. Mater. Struct., 25(1), 1-14. https://doi.org/10.1080/15376494.2016.1231356
  29. Esayas, L.S. and Kattimani, S. (2021), "Effect of porosity on active damping of geometrically nonlinear vibrations of a functionally graded magneto-electro-elastic plate", Defence Technol., 18(6), 891-906. https://doi.org/10.1016/j.dt.2021.04.016
  30. 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., 47(5), 521-545. https://doi.org/10.1080/15397734.2019.1566743
  31. 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", Metall. Eng., 19(2), 84-93. http://doi.org/10.22076/me.2017.41458.1064
  32. Ge, J., Hong, Y., Zeng, R., Li, Y. and Habibi, M. (2023), "Increasing the attractiveness of physical education training with the involvement of nanotechnology", Adv. Concr. Constr., 16(6), 291-302. https://doi.org/10.12989/acc.2023.16.6.291
  33. 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., 48(6), 755-772. https://doi.org/10.1080/15397734.2019.1662310
  34. Gu, X., He, J., Wang, Z., Li, M., Habibi, M. and Hashemabadi, D. (2023), "Application of hyperbolic differential quadrature method for vibration responses of the electrorheological disk", Eng. Anal. Bound. Elem., 155, 599-615. https://doi.org/10.1016/j.enganabound.2023.05.035
  35. 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
  36. Guo, Y., Maalla, A. and Habibi, M. (2024), "Electroelastic wave dispersion in the rotary piezoelectric NEMS sensors/actuators via nonlocal strain gradient theory", Mech. Syst. Signal Pr., 216, 111453. https://doi.org/10.1016/j.ymssp.2024.111453
  37. 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 Pr., 157, 107723. https://doi.org/10.1016/j.ymssp.2021.107723
  38. Habibi, M., Darabi, R., Sa, J.C.d. and Reis, A. (2021), "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
  39. 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
  40. Habibi, M., Habibi, M., Toghroli, E., Safa, M. and Shariati, M. (2024), "Frequency responses of a graphene oxide reinforced concrete structure", Eidos, 17(24), 63-79. https://doi.org/10.29019/eidos.v17i24.1382
  41. Habibi, M., Hashemabadi, D. and Safarpour, H. (2019a), "Vibration analysis of a high-speed rotating GPLRC nanostructure coupled with a piezoelectric actuator", Eur. Phys. J. Plus, 134(6), 307. https://doi.org/10.1140/epjp/i2019-12742-7
  42. 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.
  43. 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 micro-structures", J. Mater. Eng. Perform., 25(2), 382-389. https://doi.org/10.1007/s11665-016-1882-1
  44. 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. Manuf. Pr., 31, 310-323. https://doi.org/10.1016/j.jmapro.2017.11.009
  45. 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
  46. 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., 1-30. https://doi.org/10.1080/15397734.2019.1701490
  47. 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., 1-19. https://doi.org/10.1080/15397734.2019.1697932
  48. 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., 1-22. https://doi.org/10.1080/15397734.2020.1779086
  49. 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
  50. Hamed, E., Bradford, M.A. and Ian Gilbert, R. (2010), "Nonlinear long-term behaviour of spherical shallow thin-walled concrete shells of revolution", Int. J. Solids Struct., 47(2), 204-215. https://doi.org/10.1016/j.ijsolstr.2009.09.027
  51. 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 Med., 1-27. https://doi.org/10.1080/17455030.2019.1662968
  52. Hasheminejad, S.M. and Jamalpoor, A. (2022), "Cancelation of acoustic scattering from a smart hybrid ERF/PZT-based double-wall composite spherical shell structure", Mech. Adv. Mater. Struct., 29(28), 7294-7315. https://doi.org/10.1080/15376494.2021.1995549
  53. He, L., Habibi, M. and Khorami, M. (2024), "Semi-analytical stability behavior of composite concrete structures via modified non-classical theories", Adv. Concr. Constr., 17(4), 187. https://doi.org/10.12989/acc.2024.17.4.187
  54. 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
  55. Hou, F., Wu, S., Moradi, Z. and Shafiei, N. (2022), "The computational modeling for the static analysis of axially functionally graded micro-cylindrical imperfect beam applying the computer simulation", Eng. Comput., 38(4), 3217-3235. https://doi.org/10.1007/s00366-021-01456-x
  56. Huang, J., Pan, Z., Yang, S., Habibi, M. and Safa, M. (2024), "Bending-based solution methodology using eigenvalue-eigenvector approach for analysis of foldable reinforced Golf Clubs cylindrical shell", Mech. Adv. Mater. Struct., 1-14. https://doi.org/10.1080/15376494.2024.2378372
  57. Huang, X., Hao, H., Oslub, K., Habibi, M. and Tounsi, A. (2021), "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
  58. Jin, Z., Huo, W., Habibi, M. and Albaijan, I. (2024), "Thermo-foldable bending analysis of tunable shells using a higher-order modeling", Mech. Adv. Mater. Struct., 1-14. https://doi.org/10.1080/15376494.2024.2369263
  59. Karami, B., Shahsavari, D., Janghorban, M. and Li, L. (2019), "On the resonance of functionally graded nanoplates using bi-Helmholtz nonlocal strain gradient theory", Int. J. Eng. Sci., 144, 103143. https://doi.org/10.1016/j.ijengsci.2019.103143
  60. Khalili, S.M.R., Soroush, M., Davar, A. and Rahmani, O. (2011), "Finite element modeling of low-velocity impact on laminated composite plates and cylindrical shells", Compos. Struct., 93(5), 1363-1375. https://doi.org/10.1016/j.compstruct.2010.10.003
  61. 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
  62. Li, C., Han, Q., Wang, Z. and Wu, X. (2020a), "Analysis of wave propagation in functionally graded piezoelectric composite plates reinforced with graphene platelets", Appl. Math. Modell., 81, 487-505. https://doi.org/10.1016/j.apm.2020.01.016
  63. Li, J., Tang, F. and Habibi, M. (2020b), "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
  64. Li, J., Wu, Z., Habibi, M. and Albaijan, I. (2024), "An inspection of the metal-foam beam considering torsional dynamic responses", Solid State Commun., 391, 115638. https://doi.org/10.1016/j.ssc.2024.115638
  65. Li, X., Li, M., Habibi, M., Najaafi, N. and Safarpour, H. (2023), "Optimization of hybrid energy management system based on high-energy solid-state lithium batteries and reversible fuel cells", Energy, 283, 128454. https://doi.org/10.1016/j.energy.2023.128454
  66. Li, Y., Li, S., Guo, K., Fang, X. and Habibi, M. (2020c), "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
  67. Liang, Z., Zhao, Y., Yu, H., Habibi, M. and Mahmoudi, T. (2024), "Artificial neural networks coupled with numerical approach for the stability prediction of non-uniform functionally graded microscale cylindrical structures", Structures, 60, 105826. https://doi.org/10.1016/j.istruc.2023.10582
  68. Liu, H., Shen, S., Oslub, K., Habibi, M. and Safarpour, H. (2021a), "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
  69. Liu, H., Zhao, Y., Pishbin, M., Habibi, M., Bashir, M. and Issakhov, A. (2021b), "A comprehensive mathematical simulation of the composite size-dependent rotary 3D micro-system via two-dimensional generalized differential quadrature method", Eng. Comput., 1-16. https://doi.org/10.1007/s00366-021-01419-2
  70. Liu, Y., Qin, Z. and Chu, F. (2022), "Analytical study of the impact response of shear deformable sandwich cylindrical shell with a functionally graded porous core", Mech. Adv. Mater. Struct., 29(9), 1338-1347. 10.1080/15376494.2020.1818904
  71. 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., 1-26. https://doi.org/10.1080/15397734.2020.1784201
  72. 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., 1-25. https://doi.org/10.1080/15397734.2020.1815544
  73. 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
  74. Lou, J. and He, L. (2015), "Closed-form solutions for nonlinear bending and free vibration of functionally graded microplates based on the modified couple stress theory", Compos. Struct., 131 810-820. https://doi.org/10.1016/j.compstruct.2015.06.031
  75. Lu, L., Liao, K., Habibi, M., Safarpour, H. and Ali, H.E. (2023a), "Numerical methods to predict aero thermally induced vibrations of a curved pipe structure reinforced by GPLs", Structures, 55, 1607-1621. https://doi.org/10.1016/j.istruc.2023.06.105
  76. Lu, S., Li, S., Habibi, M. and Safarpour, H. (2023b), "Improving the thermo-electro-mechanical responses of MEMS resonant accelerometers via a novel multi-layer perceptron neural network", Measurement, 113168. https://doi.org/10.1016/j.measurement.2023.113168
  77. Ma, B., Chen, K.Y., Habibi, M. and Albaijan, I. (2023), "Static/dynamic analyses of sandwich micro-plate based on modified strain gradient theory", Mech. Adv. Mater. Struct., 1-8. https://doi.org/10.1080/15376494.2023.2219453
  78. Mahapatra, T.R., Panda, S.K. and Kar, V.R. (2016), "Nonlinear hygro-thermo-elastic vibration analysis of doubly curved composite shell panel using finite element micromechanical model", Mech. Adv. Mater. Struct., 23(11), 1343-1359. https://doi.org/10.1080/15376494.2015.1085606
  79. Man, Y., Habibi, M. and Maleki, B. (2024), "Biodiesel synthesis from waste coconut scum oil utilizing SnFe2O4/cigarette butt-derived biochar as a magnetic nanocatalyst: Optimization, kinetic and thermodynamic study", Chem. Eng. Res., 210, 311-327. https://doi.org/10.1016/j.cherd.2024.08.033
  80. Mehar, K., Panda, S.K., Bui, T.Q. and Mahapatra, T.R. (2017), "Nonlinear thermoelastic frequency analysis of functionally graded CNT-reinforced single/doubly curved shallow shell panels by FEM", J. Therm. Stress., 40(7), 899-916. https://doi.org/10.1080/01495739.2017.1318689
  81. Mehralian, F., Tadi Beni, Y. and Ansari, R. (2016), "Size dependent buckling analysis of functionally graded piezoelectric cylindrical nanoshell", Compos. Struct., 152, 45-61. https://doi.org/10.1016/j.compstruct.2016.05.024
  82. 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(1), 2050010. https://doi.org/10.1142/S1758825120500106
  83. 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
  84. 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
  85. 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
  86. 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
  87. 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. Biomol. Struct. Dyn., 1-12. https://doi.org/10.1080/07391102.2020.1751297
  88. Ninh, D.G. and Bich, D.H. (2018), "Characteristics of nonlinear vibration of nanocomposite cylindrical shells with piezoelectric actuators under thermo-mechanical loads", Aerosp. Sci. Technol., 77, 595-609. https://doi.org/10.1016/j.ast.2018.04.008
  89. Oyarhossein, M.A., Alizadeh, A.A., Habibi, M., Makkiabadi, M., Daman, M., Safarpour, H. and Jung, D.W. (2020), "Dynamic response of the nonlocal strain-stress gradient in laminated polymer composites microtubes", Sci. Rep., 10(1), 1-19. https://doi.org/10.1038/s41598-020-61855-w
  90. 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. Elem., 151, 101-114. https://doi.org/10.1016/j.enganabound.2023.02.052
  91. 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. Math. Appl., 77(10), 2608-2626.
  92. Qu, Y., Long, X., Yuan, G. and Meng, G. (2013), "A unified formulation for vibration analysis of functionally graded shells of revolution with arbitrary boundary conditions", Compos. Part B Eng., 50, 381-402. https://doi.org/10.1016/j.compositesb.2013.02.028
  93. Reddy, J.N. (2003), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC press.
  94. 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. Rep., 13(1), 4312. https://doi.org/10.1038/s41598-022-25902-y
  95. 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", Eur. Phys. J. Plus, 133(12), 532. https://doi.org/10.1140/epjp/i2018-12385-2
  96. 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
  97. 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
  98. 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
  99. Shao, Y., Zhao, Y., Gao, J. and Habibi, M. (2021a), "Energy absorption of the strengthened viscoelastic multi-curved composite panel under friction force", Arch. Civil Mech. Eng., 21(4), 1-29. https://doi.org/10.1007/s43452-021-00279-3
  100. Shao, Y., Zhao, Y., Gao, J. and Habibi, M. (2021b), "Energy absorption of the strengthened viscoelastic multi-curved composite panel under friction force", Arch. Civil Mech. Eng., 21(4), 141. https://doi.org/10.1007/s43452-021-00279-3
  101. 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
  102. 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
  103. 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
  104. Shariati, M., Ghorbani, M., Naghipour, M., Alinejad, N. and Toghroli, A. (2020d), "The effect of RBS connection on energy absorption in tall buildings with braced tube frame system", Steel Compos. Struct., 34(3), 393-407. https://doi.org/10.12989/scs.2020.34.3.393
  105. 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
  106. 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
  107. Sobhani, E., Masoodi, A.R., Dimitri, R. and Tornabene, F. (2023), "Free vibration of porous graphene oxide powder nanocomposites assembled paraboloidal-cylindrical shells", Compos. Struct., 304, 116431. https://doi.org/10.1016/j.compstruct.2022.116431
  108. Song, G., Zou, Y., Nie, Y., Habibi, M., Albaijan, I. and Toghroli, E. (2024), "Application of Hashin-Shtrikman bounds homogenization model for frequency analysis of imperfect FG bio-composite plates", J. Mech. Behav. Biomed. Mater., 151, 106321. https://doi.org/10.1016/j.jmbbm.2023.106321
  109. Song, M., Kitipornchai, S. and Yang, J. (2017), "Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets", Compos. Struct., 159, 579-588. https://doi.org/10.1016/j.compstruct.2016.09.070
  110. Song, M., Li, X., Kitipornchai, S., Bi, Q. and Yang, J. (2019), "Low-velocity impact response of geometrically nonlinear functionally graded graphene platelet-reinforced nanocomposite plates", Nonlinear Dynamics, 95(3), 2333-2352. https://doi.org/10.1007/s11071-018-4695-y
  111. Tang, J., Wu, S., Habibi, M., Safarpour, M. and Ali, H.E. (2023), "Flutter analysis of multi-directional functionally graded sector poroelastic disks", Aerosp. Sci. Technol., 140, 108481. https://doi.org/10.1016/j.ast.2023.108481
  112. Tang, Y. and Ding, Q. (2019), "Nonlinear vibration analysis of a bi-directional functionally graded beam under hygro-thermal loads", Compos. Struct., 225, 111076. https://doi.org/10.1016/j.compstruct.2019.111076
  113. Tian, R., Guan, H., Lu, X., Zhang, X., Hao, H., Feng, W. and Zhang, G. (2023), "Dynamic crushing behavior and energy absorption of hybrid auxetic metamaterial inspired by Islamic motif art", Appl. Math. Mech., 44(3), 345-362. https://doi.org/10.1007/s10483-023-2962-9
  114. Tornabene, F., Viscoti, M. and Dimitri, R. (2022a), "Static analysis of anisotropic doubly-curved shells with arbitrary geometry and variable thickness resting on a Winkler-Pasternak support and subjected to general loads", Eng. Anal. Bound. Elem., 140, 618-673. https://doi.org/10.1016/j.enganabound.2022.02.021
  115. Tornabene, F., Viscoti, M., Dimitri, R. and Rosati, L. (2022b), "Dynamic analysis of anisotropic doubly-curved shells with general boundary conditions, variable thickness and arbitrary shape", Compos. Struct., 116542. https://doi.org/10.1016/j.compstruct.2022.116542
  116. Wang, A., Chen, H., Hao, Y. and Zhang, W. (2018), "Vibration and bending behavior of functionally graded nanocomposite doubly-curved shallow shells reinforced by graphene nanoplatelets", Result. Phys., 9, 550-559. https://doi.org/10.1016/j.rinp.2018.02.062
  117. Wang, C., Habibi, M. and Mahmoudi, T. (2024a), "Stability analysis of the nonuniform functionally graded cylindrical small-scale beam structures: Application in sport structures", Steel Compos. Struct., 52(1), 15. https://doi.org/10.12989/scs.2024.52.1.015
  118. Wang, L., Habibi, M. and Huang, G. (2024b), "Smart analysis of sandwich foldable cylinders as gymnastic accessories", Mech. Adv. Mater. Struct., 1-18. https://doi.org/10.1080/15376494.2024.2411414
  119. Wang, Q. (2002), "On buckling of column structures with a pair of piezoelectric layers", Eng. Struct., 24(2), 199-205. https://doi.org/10.1016/S0141-0296(01)00088-8
  120. Wang, W., Zhang, J., Habibi, M. and Albaijan, I. (2024c), "Stretchable-thickness model for dynamic responses of graphene origami reinforced badminton sport plate", Mech. Adv. Mater. Struct., 1-13. https://doi.org/10.1080/15376494.2024.2373976
  121. Wang, Y., Jia, Q., Deng, T., Habibi, M., Al-Kikani, S. and Ali, H.E. (2023), "Wave propagation analysis of the ball in the handball's game", Struct. Eng. Mech., 85(6), 729-742.
  122. 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
  123. 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
  124. 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 Commun., 115193. https://doi.org/10.1016/j.ssc.2023.115193
  125. Xiao, H., Habibi, M. and Habibi, M. (2024), "Bulk wave propagation analysis of imperfect FG bio-composite beams resting on variable elastic medium", Mater. Today Commun., 39, 108524. https://doi.org/10.1016/j.mtcomm.2024.108524
  126. 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.
  127. Yang, C., Li, Z., Xu, P. and Huang, H. (2024), "Recognition and optimisation method of impact deformation patterns based on point cloud and deep clustering: Applied to thin-walled tubes", J. Ind. Inform. Integr., 40, 100607. https://doi.org/10.1016/j.jii.2024.100607
  128. 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
  129. Yang, S. and Sun, C. (1982), "Indentation law for composite laminates", Composite Materials: Testing and Design (6th Conference).
  130. Yin, J., Zou, Y., Li, J., Zhang, W., Li, X. and Habibi, M. (2024), "Dynamic stability and frequency responses of the tilted curved nanopipes in a supersonic airflow via 2D hybrid nonlocal strain gradient theory", Eng. Struct., 301, 117240. https://doi.org/10.1016/j.engstruct.2023.117240
  131. Yu, C., Lin, P., Wu, Z., Habibi, M. and Zhang, W. (2024), "Multi-load effect on the deformation analysis of composite nano reinforced origami sandwich panel", Mech. Adv. Mater. Struct., 1-19. https://doi.org/10.1080/15376494.2024.2367015
  132. 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
  133. Zhang, D., Huang, X., Wang, T., Habibi, M., Albaijan, I. and Toghroli, E. (2024a), "Dynamic stability improvement in spinning FG-piezo cylindrical structure using PSO-ANN and firefly optimization algorithm", Mater. Sci. Eng. B. 302, 117210. https://doi.org/10.1016/j.mseb.2024.117210
  134. Zhang, H., Habibi, M. and Zou, Y. (2024b), "Static analysis of foldable pressurized and thermally loaded cylindrical shell as an expander in sport equipment reinforced by G-Ori nanofillers", Mech. Adv. Mater. Struct., 1-13. https://doi.org/10.1080/15376494.2024.2412307
  135. Zhang, P., Liu, Z., Yue, X., Wang, P. and Zhai, Y. (2022), "Water jet impact damage mechanism and dynamic penetration energy absorption of 2A12 aluminum alloy", Vacuum, 206, 111532. https://doi.org/10.1016/j.vacuum.2022.111532
  136. Zhang, Q., Xie, M., Zhou, D., Habibi, M. and Khorami, M. (2024c), "Bending responses of graphene nanoplatelets reinforced sandwich cylindrical micro panel with piezoelectric layers", Mech. Adv. Mater. Struct., 1-16. https://doi.org/10.1080/15376494.2024.2385008
  137. Zhang, Q., Zou, X., Wang, Y. and Habibi, M. (2023a), "Study on photocatalytic, electric, and sensing behavior of Co-and Ag-codoped tin dioxide (SnO2) nano particles", Mater. Sci. Eng. B, 296, 116687. https://doi.org/10.1016/j.mseb.2023.116687
  138. Zhang, S., Lai, Y., Chen, K., Habibi, M., Khorami, M. and Haider Mussa, Z. (2023b), "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
  139. Zhang, X., Li, J., Cui, Y., Habibi, M., Ali, H.E., Albaijan, I. and Mahmoudi, T. (2023c), "Static analysis of 2D-FG nonlocal porous tube using gradient strain theory and based on the first and higher-order beam theory", Steel Compos. Struct., 49(3), 293-306. https://doi.org/10.12989/scs.2023.49.3.293
  140. Zhang, X.W. and Yu, T.X. (2012), "Experimental and numerical study on the dynamic buckling of ping-pong balls under impact loading", Int. J. Nonlinear Sci. Numer. Simul., 13(1), 81-92. https://doi.org/10.1515/ijnsns-2011-103
  141. 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 Med., 1-24. https://doi.org/10.1080/17455030.2021.1948627
  142. Zhang, Y., Wang, Z., Tazeddinova, D., Ebrahimi, F., Habibi, M. and Safarpour, H. (2024d), "Enhancing active vibration control performances in a smart rotary sandwich thick nanostructure conveying viscous fluid flow by a PD controller", Waves Random Complex Med., 34(3), 1835-1858. https://doi.org/10.1080/17455030.2021.1948627
  143. 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
  144. Zhao, J., Wan, L., Habibi, M. and Brahmia, A. (2024), "An adaptive neuro-fuzzy approach using IoT data in predicting springback in ultra-thin stainless steel sheets with consideration of grain size", Adv. Nano Res., 17(2), 109. https://doi.org/10.12989/.2024.17.2.109
  145. 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. Elem., 146, 170-183. https://doi.org/10.1016/j.enganabound.2022.10.019
  146. Zhiqiang, S., Aiyun, L., Daichang, Z., Shuangjun, L., Habibi, M., Xiaoling, F. and Albaijan, I. (2024), "Application of a folded nanostructure reinforcement for the pole vault curved shell", Mech. Adv. Mater. Struct., 1-15. https://doi.org/10.1080/15376494.2024.2375368
  147. Zhou, C., Zhao, Y., Zhang, J., Fang, Y. and Habibi, M. (2020), "Vibrational characteristics of multi-phase nanocomposite reinforced circular/annular system", Adv. Nano Res., 9(4), 295-307. https://doi.org/10.12989/anr.2020.9.4.295
  148. 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. Clean. Prod., 132697. https://doi.org/10.1016/j.jclepro.2022.132697
  149. Zisong, Z. and Habibi, M. (2024), "AI-assisted prediction of St14 steel sheets formability: Neural-fuzzy systems and crystal plasticity assessments", Structures, 65, 106633. https://doi.org/10.1016/j.istruc.2024.106633