Structural Engineering and Mechanics

  • 제83권5호
  • /
  • Pages.681-692
  • /
  • 2022
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Application of multi-physics simulation for vibration performance of the hand after contacting the ball with the volleyball player

  • Wang, Yangping (School of Architectural Engineering, Chongqing Creation Vocational College) ;
  • Sun, Shuze (School of Sports and Health, Linyi University)
  • 투고 : 2021.06.25
  • 심사 : 2022.07.04
  • 발행 : 2022.09.10
⟨ 이전 논문 다음 논문 ⟩

초록

The vibrational response of the two bones in a Volleyball player's arm under ball impact is conducted. The two bones in hand, Ulna and Radius, are modeled as two cylindrical shells. The formulations associated with the shells' vibration are obtained using the energy method. Then, the results are extracted with the aid of the two-dimensional form of DQM in conjunction with Runge-Kutta. The results are validated by means of a published paper. Lastly, the role of parameters in determining vibrational frequency as well as deflection is explored through parametric studies. It was shown that the impactor speed and the time of the impact could be essential factors in determining the vibration behavior of the bones. This work can be used in the further investigation of the behavior of bones and physiological structures.

키워드

참고문헌

  1. Abramovich, H., Govich, D. and Grunwald, A. (2015), "Buckling prediction of panels using the vibration correlation technique", Prog. Aerosp. Sci., 78, 62-73. https://doi.org/10.1016/j.paerosci.2015.05.010.
  2. Adamian, A., Safari, K.H., Sheikholeslami, M., Habibi, M., AlFurjan, 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.
  3. Adewusi, S., Rakheja, S., Marcotte, P. and Boutin, J. (2010), "Vibration transmissibility characteristics of the human hand-arm system under different postures, hand forces and excitation levels", J. Sound Vib., 329(14), 2953-2971. https://doi.org/10.1016/j.jsv.2010.02.001.
  4. Al-Furjan, M., Alzahrani, B., Shan, L., Habibi, M. and Jung, D.W. (2020a), "Nonlinear forced vibrations of nanocompositereinforced viscoelastic thick annular system under hygrothermal environment", Mech. Bas. Des. Struct. Mach., 1-27. https://doi.org/10.1080/15397734.2020.1824795.
  5. Al-Furjan, M., Bolandi, S.Y., Habibi, M., Ebrahimi, F., Chen, G. and Safarpour, H. (2021a), "Enhancing vibration performance of a spinning smart nanocomposite reinforced microstructure conveying fluid flow", Eng. Comput., 1-16. https://doi.org/10.1007/s00366-020-01255-w.
  6. Al-Furjan, M., Bolandi, S.Y., Shan, L., Habibi, M. and Jung, D.w. (2020b), "On the vibrations of a high-speed rotating multihybrid nanocomposite reinforced cantilevered microdisk", Mech. Bas. Des. Struct. Mach., 1-29. https://doi.org/10.1080/15397734.2020.1828098.
  7. Al-Furjan, M., Dehini, R., Khorami, M., Habibi, M. and won Jung, D. (2020c), "On the dynamics of the ultra-fast rotating cantilever orthotropic piezoelectric nanodisk based on nonlocal strain gradient theory", Compos. Struct., 255, 112990. https://doi.org/10.1016/j.compstruct.2020.112990.
  8. Al-Furjan, M., Fereidouni, M., Habibi, M., Abd Ali, R., Ni, J. and Safarpour, M. (2020d), "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.
  9. Al-Furjan, M., Fereidouni, M., Sedghiyan, D., Habibi, M. and won Jung, D. (2020e), "Three-dimensional frequency response of the CNT-Carbon-Fiber reinforced laminated circular/annular plates under initially stresses", Compos. Struct., 257, 113146. https://doi.org/10.1016/j.compstruct.2020.113146.
  10. Al-Furjan, M., Habibi, M., Chen, G., Safarpour, H., Safarpour, M. and Tounsi, A. (2020f), "Chaotic oscillation of a multi-scale hybrid nano-composites reinforced disk under harmonic excitation via GDQM", Compos. Struct., 252 112737. https://doi.org/10.1016/j.compstruct.2020.112737.
  11. Al-Furjan, M., Habibi, M., Chen, G., Safarpour, H., Safarpour, M. and Tounsi, A. (2020g), "Chaotic simulation of the multi-phase reinforced thermo-elastic disk using GDQM", Eng. Comput., 1-24. https://doi.org/10.1007/s00366-020-01144-2.
  12. Al-Furjan, M., Habibi, M., Ebrahimi, F., Chen, G., Safarpour, M. and Safarpour, H. (2020h), "A coupled thermomechanics approach for frequency information of electrically composite microshell using heat-transfer continuum problem", Eur. Phys. J. Plus, 135(10), 1-45. https://doi.org/10.1140/epjp/s13360-020-00764-3.
  13. Al-Furjan, M., Habibi, M., Ebrahimi, F., Mohammadi, K. and Safarpour, H. (2020i), "Wave dispersion characteristics of highspeed-rotating laminated nanocomposite cylindrical shells based on four continuum mechanics theories", Wave. Random Complex Media, 32(4), 1599-1625. https://doi.org/10.1080/17455030.2020.1831099.
  14. Al-Furjan, M., Habibi, M., Ni, J., won Jung, D. and Tounsi, A. (2020j), "Frequency simulation of viscoelastic multi-phase reinforced fully symmetric systems", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-020-01200-x.
  15. Al-Furjan, M., Habibi, M. and Safarpour, H. (2020k), "Vibration control of a smart shell reinforced by graphene nanoplatelets", Int. J. Appl. Mech., 12(06), 2050066. https://doi.org/10.1142/S1758825120500660.
  16. Al-Furjan, M., Habibi, M., Shan, L. and Tounsi, A. (2020l), "On the vibrations of the imperfect sandwich higher-order disk with a lactic core using generalize differential quadrature method", Compos. Struct., 257, 113150. https://doi.org/10.1016/j.compstruct.2020.113150.
  17. Al-Furjan, M., Habibi, M., won Jung, D., Chen, G., Safarpour, M. and Safarpour, H. (2020m), "Chaotic responses and nonlinear dynamics of the graphene nanoplatelets reinforced doublycurved panel", Eur. J. Mech.-A/Solid., 85, 104091. https://doi.org/10.1016/j.euromechsol.2020.104091.
  18. Al-Furjan, M., Habibi, M., won Jung, D., Sadeghi, S., Safarpour, H., Tounsi, A. and Chen, G. (2020n), "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.
  19. Al-Furjan, M., Habibi, M., won Jung, D. and Safarpour, H. (2020o), "Vibrational characteristics of a higher-order laminated composite viscoelastic annular microplate via modified couple stress theory", Compos. Struct., 257, 113152. https://doi.org/10.1016/j.compstruct.2020.113152.
  20. Al-Furjan, M., Habibi, M., won Jung, D., Safarpour, H. and Safarpour, M. (2020p), "On the buckling of the polymer-CNT-fiber nanocomposite annular system under thermo-mechanical loads", Mech. Bas. Des. Struct. Mach., 1-21. https://doi.org/10.1080/15397734.2020.1830106.
  21. Al-Furjan, M., Moghadam, S.A., Dehini, R., Shan, L., Habibi, M. and Safarpour, H. (2020q), "Vibration control of a smart shell reinforced by graphene nanoplatelets under external load: Seminumerical and finite element modeling", Thin Wall. Struct., 159, 107242. https://doi.org/10.1016/j.tws.2020.107242.
  22. Al-Furjan, M., Mohammadgholiha, M., Alarifi, I.M., Habibi, M. and Safarpour, H. (2020r), "On the phase velocity simulation of the multi curved viscoelastic system via an exact solution framework", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-020-01152-2.
  23. Al-Furjan, M., Oyarhossein, M.A., Habibi, M., Safarpour, H. and Jung, D.W. (2020s), "Frequency and critical angular velocity characteristics of rotary laminated cantilever microdisk via twodimensional analysis", Thin Wall. Struct., 157, 107111. https://doi.org/10.1016/j.tws.2020.107111.
  24. Al-Furjan, M., Oyarhossein, M.A., Habibi, M., Safarpour, H. and Jung, D.W. (2020t), "Wave propagation simulation in an electrically open shell reinforced with multi-phase nanocomposites", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-020-01167-9.
  25. Al-Furjan, M., Oyarhossein, M.A., Habibi, M., Safarpour, H., Jung, D.W. and Tounsi, A. (2020u), "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.
  26. Al-Furjan, M., Safarpour, H., Habibi, M., Safarpour, M. and Tounsi, A. (2020v), "A comprehensive computational approach for nonlinear thermal instability of the electrically FG-GPLRC disk based on GDQ method", Eng. Comput., 1-18. https://doi.org/10.1007/s00366-020-01088-7.
  27. Al-Furjan, M.S.H., Dehini, R., Paknahad, M., Habibi, M. and Safarpour, H. (2021b), "On the nonlinear dynamics of the multiscale hybrid nanocomposite-reinforced annular plate under hygro-thermal environment", Arch. Civil Mech. Eng., 21(1), 4. https://doi.org/10.1007/s43452-020-00151-w.
  28. Alibeigloo, A. and Rajaee Piteh Noee, A. (2017), "Static and free vibration analysis of sandwich cylindrical shell based on theory of elasticity and using DQM", Acta Mechanica, 228(12), 4123-4140. https://doi.org/10.1007/s00707-017-1914-4.
  29. 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. Bas. Des. Struct. Mach., 48(5), 525-541. https://doi.org/10.1080/15397734.2019.1633343.
  30. Bai, Y., Alzahrani, B., Baharom, S. and Habibi, M. (2020), "Seminumerical 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.
  31. Balamurugan, V. and Narayanan, S. (2001), "Shell finite element for smart piezoelectric composite plate/shell structures and its application to the study of active vibration control", Finite Elem. Anal. Des., 37(9), 713-738. https://doi.org/10.1016/S0168-874X(00)00070-6.
  32. Behdad, S., Fakher, M., Naderi, A. and Hosseini-Hashemi, S. (2021), "Vibrations of defected local/nonlocal nanobeams surrounded with two-phase Winkler-Pasternak medium: nonclassic compatibility conditions and exact solution", Wave. Random Complex Media, 1-36. https://doi.org/10.1080/17455030.2021.1918796.
  33. Benahmed, A., Houari, M.S.A., Benyoucef, S., Belakhdar, K. and Tounsi, A. (2017), "A novel quasi-3D hyperbolic shear deformation theory for functionally graded thick rectangular plates on elastic foundation", Geomech. Eng., 12(1), 9-34. https://doi.org/10.12989/gae.2017.12.1.009.
  34. Bert, C.W. and Kumar, M. (1982), "Vibration of cylindrical shells of bimodulus composite materials", J. Sound Vib., 81(1), 107-121. https://doi.org/10.1016/0022-460X(82)90180-8.
  35. Bisagni, C. (2000), "Numerical analysis and experimental correlation of composite shell buckling and post-buckling", Compos. Part B: Eng., 31(8), 655-667. https://doi.org/10.1016/S1359-8368(00)00031-7.
  36. 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., 284, 115195. https://doi.org/10.1016/j.compstruct.2022.115195.
  37. 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. Bas. Des. Struct. Mach., 50(4), 1-24. https://doi.org/10.1080/15397734.2020.1744005.
  38. 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.
  39. Dai, Z., Zhang, L., Bolandi, S.Y. and Habibi, M. (2021b), "On the vibrations of the non-polynomial viscoelastic composite opentype shell under residual stresses", Compos. Struct., 263, 113599. https://doi.org/10.1016/j.compstruct.2021.113599.
  40. Dong, Y., Gao, Y., Zhu, Q., Moradi, Z. and Safa, M. (2022), "TEGDQE implementation to investigate the vibration of FG composite conical shells considering a frequency controller solid ring", Eng. Anal. Bound. Elem., 138, 95-107. https://doi.org/10.1016/j.enganabound.2022.01.017.
  41. 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.
  42. Ebrahimi, F., Hajilak, Z.E., Habibi, M. and Safarpour, H. (2019b), "Buckling and vibration characteristics of a carbon nanotubereinforced spinning cantilever cylindrical 3D shell conveying viscous fluid flow and carrying spring-mass systems under various temperature distributions", Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 233(13), 4590-4605. https://doi.org/10.1177/0954406219832323.
  43. 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.
  44. Ebrahimi, F., Mohammadi, K., Barouti, M.M. and Habibi, M. (2019c), "Wave propagation analysis of a spinning porous graphene nanoplatelet-reinforced nanoshell", Wave. Random Complex Media, 31(6), 1655-1681. https://doi.org/10.1080/17455030.2019.1694729.
  45. 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
  46. 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. Bas. Des. Struct. Mach., 47(5), 521-545. doi/10.1080/15397734.2019.1566743.
  47. Fakher, M., Behdad, S. and Hosseini-Hashemi, S. (2020a), "Vibration analysis of stress-driven nonlocal integral model of viscoelastic axially FG nanobeams", Eur. Phys. J. Plus, 135(11), 1-21. https://doi.org/10.1140/epjp/s13360-020-00923-6.
  48. Fakher, M., Behdad, S., Naderi, A. and Hosseini-Hashemi, S. (2020b), "Thermal vibration and buckling analysis of two-phase nanobeams embedded in size dependent elastic medium", Int. J. Mech. Sci., 171, 105381. https://doi.org/10.1016/j.ijmecsci.2019.105381.
  49. Fan, L., Huang, Y., Ji, D., Moradi, Z., Safa, M. and Amine Khadimallah, M. (2022), "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.
  50. Ghabussi, A., Ashrafi, N., Shavalipour, A., Hosseinpour, A., Habibi, M., Moayedi, H., Babaei, B. and Safarpour, H. (2021), "Free vibration analysis of an electro-elastic GPLRC cylindrical shell surrounded by viscoelastic foundation using modified length-couple stress parameter", Mech. Bas. Des. Struct. Mach., 49(5), 738-762. https://doi.org/10.1080/15397734.2019.1705166.
  51. 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. Bas. Des. Struct. Mach., 48(6), 755-772. https://doi.org/10.1080/15397734.2019.1662310.
  52. Gong, X., Wang, L., Mou, Y., Wang, H., Wei, X., Zheng, W. and Yin, L. (2022), "Improved Four-channel PBTDPA control strategy using force feedback bilateral teleoperation system", Int. J. Control Autom. Syst., 20(3), 1002-1017. https://doi.org/10.1007/s12555-021-0096-y.
  53. 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 multilayer symmetric nanosystem using multi-physics modeling", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-021-01433-4.
  54. 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.
  55. 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", Proc. Inst. Mech. Eng., Part L: J. Mater.: Des. Appl., 235(8), 1937-1951. https://doi.org/10.1177/14644207211024686.
  56. 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.
  57. 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.
  58. 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", Proc. Inst. Mech. Eng., Part L: J. Mater.: Des. Appl., 232(8), 625-636. https://doi.org/10.1177/1464420716642258.
  59. 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.
  60. 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.
  61. Habibi, M., Mohammadgholiha, M. and Safarpour, H. (2019b), "Wave propagation characteristics of the electrically GNPreinforced nanocomposite cylindrical shell", J. Brazil. Soc. Mech. Sci. Eng., 41(5), 221. https://doi.org/10.1007/s40430-019-1715-x.
  62. 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. Bas. Des. Struct. Mach., 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. Bas. Des. Struct. Mach., 49(5), 640-658. 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. Bas. Des. Struct. Mach., 50(7), 2471-2492. 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. 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", Wave. Random Complex Media, 31(6), 1340-1366. https://doi.org/10.1080/17455030.2019.1662968.
  67. 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.
  68. Hodgskinson, R. and Currey, J. (1992), "Young's modulus, density and material properties in cancellous bone over a large density range", J. Mater. Sci.: Mater. Med., 3(5), 377-381. https://doi.org/10.1007/BF00705371.
  69. 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", Eng. Comput., 1-19. https://doi.org/10.1007/s00366-021-01456-x.
  70. Huang, X., Hao, H., Oslub, K., Habibi, M. and Tounsi, A. (2021a), "Dynamic stability/instability simulation of the rotary sizedependent functionally graded microsystem", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-021-01399-3.
  71. Huang, X., Zhang, Y., Moradi, Z. and Shafiei, N. (2021b), "Computer simulation via a couple of homotopy perturbation methods and the generalized differential quadrature method for nonlinear vibration of functionally graded non-uniform microtube", Eng. Comput., 1-18. https://doi.org/10.1007/s00366-021-01395-7.
  72. Huang, X., Zhu, Y., Vafaei, P., Moradi, Z. and Davoudi, M. (2021c), "An iterative simulation algorithm for large oscillation of the applicable 2D-electrical system on a complex nonlinear substrate", Eng. Comput., https://doi.org/10.1007/s00366-021-01320-y.
  73. 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 magnetoelectro-elastic nanosystem", Eng. Comput., https://doi.org/10.1007/s00366-021-01391-x.
  74. Jin, G., Ye, T., Chen, Y., Su, Z. and Yan, Y. (2013a), "An exact solution for the free vibration analysis of laminated composite cylindrical shells with general elastic boundary conditions", Compos. Struct., 106, 114-127. https://doi.org/10.1016/j.compstruct.2013.06.002.
  75. Jin, G., Ye, T., Ma, X., Chen, Y., Su, Z. and Xie, X. (2013b), "A unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions", Int. J. Mech. Sci., 75, 357-376. https://doi.org/10.1016/j.ijmecsci.2013.08.003.
  76. Jurist, J.M. and Kianian, K. (1973), "Three models of the vibrating ulna", J. Biomech., 6(4), 331-342. https://doi.org/10.1016/0021-9290(73)90093-6.
  77. Kiendl, J., Bazilevs, Y., Hsu, M.C., Wuchner, R. and Bletzinger, K.U. (2010), "The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches", Comput. Meth. Appl. Mech. Eng., 199(37-40), 2403-2416. https://doi.org/10.1016/j.cma.2010.03.029.
  78. 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.
  79. Li, B., Yang, J., Yang, Y., Li, C. and Zhang, Y. (2021), "Sign language/gesture recognition based on cumulative distribution density features using UWB radar", IEEE Trans. Instrum. Measure., 70, 1-13. https://doi.org/10.1109/TIM.2021.3092072.
  80. Li, J., Tang, F. and Habibi, M. (2020a), "Bi-directional thermal buckling and resonance frequency characteristics of a GNPreinforced composite nanostructure", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-020-01110-y.
  81. Li, J., Xu, K., Chaudhuri, S., Yumer, E., Zhang, H. and Guibas, L. (2017), "Grass: Generative recursive autoencoders for shape structures", ACM Trans. Graph. (TOG), 36(4), 1-14. https://doi.org/10.1145/3072959.3073637.
  82. 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.
  83. Lin, T. and Morgan, G. (1956), "Wave propagation through fluid contained in a cylindrical, elastic shell", J. Acoust. Soc. Am., 28(6), 1165-1176. https://doi.org/10.1121/1.1908583.
  84. Lin, Y., Song, H., Ke, F., Yan, W., Liu, Z. and Cai, F. (2022), "Optimal caching scheme in D2D networks with multiple robot helpers", Comput. Commun., 181, 132-142. https://doi.org/10.1016/j.comcom.2021.09.027.
  85. 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.
  86. 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 microsystem via two-dimensional generalized differential quadrature method", Eng. Comput., 1-16. https://doi.org/10.1007/s00366-021-01419-2.
  87. Liu, K., Ke, F., Huang, X., Yu, R., Lin, F., Wu, Y. and Ng, D.W.K. (2021c), "Deepban: A temporal convolution-based communication framework for dynamic WBANS", IEEE Trans. Commun., 69(10), 6675-6690. 10.1109/TCOMM.2021.3094581.
  88. 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. https://doi.org/10.1007/s00366-021-01454-z.
  89. 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. Bas. Des. Struct. Mach., 50(8), 2688-2713. https://doi.org/10.1080/15397734.2020.1784201.
  90. 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. Bas. Des. Struct. Mach., 1-25. https://doi.org/10.1080/15397734.2020.1815544.
  91. 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.
  92. Loy, C., Lam, K. and Shu, C. (1997), "Analysis of cylindrical shells using generalized differential quadrature", Shock Vib., 4(3), 193-198. https://doi.org/10.3233/SAV-1997-4305.
  93. 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", Eur. J. Mech.-A/Solid., 94, 104581.. https://doi.org/10.1016/j.euromechsol.2022.104581.
  94. Luo, J., Wu, S., Hou, S., Moradi, Z., Habibi, M. and Khadimallah, M.A. (2022b), "Thermally nonlinear thermoelasticity of a onedimensional finite domain based on the finite strain concept", Eur. J. Mech.-A/Solid., 96, 104726. https://doi.org/10.1016/j.euromechsol.2022.104726.
  95. Ma, L., Liu, X. and Moradi, Z. (2022), "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.
  96. Malekzadeh, P. and Karami, G. (2008), "Large amplitude flexural vibration analysis of tapered plates with edges elastically restrained against rotation using DQM", Eng. Struct., 30(10), 2850-2858. https://doi.org/10.1016/j.engstruct.2008.03.016.
  97. Malekzadeh, P. and Shahpari, S.A. (2005), "Free vibration analysis of variable thickness thin and moderately thick plates with elastically restrained edges by DQM", Thin Wall. Struct., 43(7), 1037-1050. https://doi.org/10.1016/j.tws.2004.11.008.
  98. 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", Sustain., 14(8), 4752. https://doi.org/10.3390/su14084752.
  99. 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.
  100. 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., 37(4), 3359-3374. https://doi.org/10.1007/s00366-020-01002-1.
  101. 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.
  102. 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.
  103. 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.
  104. Mohammadimehr, M., Emdadi, M., Afshari, H. and Rousta Navi, B. (2018), "Bending, buckling and vibration analyses of MSGT microcomposite circular-annular sandwich plate under hydrothermo-magneto-mechanical loadings using DQM", Int. J. Smart Nano Mater., 9(4), 233-260. https://doi.org/10.1080/19475411.2017.1377312.
  105. 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", Wave. Random Complex Media, 1-24. https://doi.org/10.1080/17455030.2021.1926572.
  106. Naderi, A., Behdad, S. and Fakher, M. (2022), "Size dependent effects of two phase viscoelastic medium on damping vibrations of smart nanobeams: An efficient implementation of GDQM", Smart Mater. Struct..
  107. 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 Pr., 145, 106931. https://doi.org/10.1016/j.ymssp.2020.106931.
  108. Naderi, A., Fakher, M. and Hosseini-Hashemi, S. (2021), "On the local/nonlocal piezoelectric nanobeams: Vibration, buckling, and energy harvesting", Mech. Syst. Signal Pr., 151, 107432. https://doi.org/10.1016/j.ymssp.2020.107432
  109. 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. Biomolec. Struct. Dyn., 39(7), 2543-2554. https://doi.org/10.1080/07391102.2020.1751297.
  110. 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", Scientif. Report., 10(1), 1-19. https://doi.org/10.1038/s41598-020-61855-w.
  111. 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. https://doi.org/10.1016/j.camwa.2018.12.041.
  112. Reynolds, D. and Angevine, E. (1977), "Hand-arm vibration, part II: Vibration transmission characteristics of the hand and arm", J. Sound Vib., 51(2), 255-265. https://doi.org/10.1016/S0022-460X(77)80035-7.
  113. 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.
  114. Safarpour, H., Hajilak, Z.E. and Habibi, M. (2019a), "A sizedependent 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.
  115. 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 threedimensional shell coupled with piezoelectric actuator", J. Vib. Control, 25(9), 1543-1557. https://doi.org/10.1177/1077546319828465.
  116. Safarpour, M., Ebrahimi, F., Habibi, M. and Safarpour, H. (2020a), "On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk", Eng. Comput., 1-20. https://doi.org/10.1007/s00366-020-00949-5.
  117. Safarpour, M., Rahimi, A. and Alibeigloo, A. (2020b), "Static and free vibration analysis of graphene platelets reinforced composite truncated conical shell, cylindrical shell, and annular plate using theory of elasticity and DQM", Mech. Bas. Des. Struct. Mach., 48(4), 496-524. https://doi.org/10.1080/15397734.2019.1646137.
  118. Shao, Y., Zhao, Y., Gao, J. and Habibi, M. (2021), "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.
  119. 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.
  120. 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", Mater., 13(7), 1707. https://doi.org/10.3390/ma13071707
  121. 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.
  122. Shen, H.S. (2012), "Nonlinear vibration of shear deformable FGM cylindrical shells surrounded by an elastic medium", Compos. Struct., 94(3), 1144-1154. https://doi.org/10.1016/j.compstruct.2011.11.012.
  123. 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", Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 234(2), 512-529. https://doi.org/10.1177/0954406219883312.
  124. Tang, Y., Liu, S., Deng, Y., Zhang, Y., Yin, L. and Zheng, W. (2021), "An improved method for soft tissue modeling", Biomed. Signal Pr. Control, 65, 102367. https://doi.org/10.1016/j.bspc.2020.102367.
  125. Wang, H., Habibi, M., Marzouki, R., Majdi, A., Shariati, M., Denic, N., Zakic, A., Khorami, M., Khadimallah, M.A. and Ebid, A.A.K. (2022a), "Improving the self-healing of cementitious materials with a hydrogel system", Gel., 8(5), 278. https://doi.org/10.3390/gels8050278.
  126. Wang, J., Tian, J., Zhang, X., Yang, B., Liu, S., Yin, L. and Zheng, W. (2022b), "Control of time delay force feedback teleoperation system with finite time convergence", Front. Neurorobot., 16, PMC9120597. https://doi.org/10.3389/fnbot.2022.877069.
  127. Wang, Y., Yang, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2022c), "Nonlinear dynamic analysis of thermally deformed beams subjected to uniform loading resting on nonlinear viscoelastic foundation", Eur. J. Mech.-A/Solid., 95, 104638. https://doi.org/10.1016/j.euromechsol.2022.104638
  128. Wang, Y.Q. (2014), "Nonlinear vibration of a rotating laminated composite circular cylindrical shell: Traveling wave vibration", Nonlin. Dyn., 77(4), 1693-1707. https://doi.org/10.1007/s11071-014-1410-5.
  129. Wang, Z., Ramamoorthy, R., Xi, X. and Namazi, H. (2022d), "Synchronization of the neurons coupled with sequential developing electrical and chemical synapses", Math. Biosci. Eng., 19(2), 1877-1890. https://doi.org/10.3934/mbe.2022088.
  130. Wang, Z., Ramamoorthy, R., Xi, X., Rajagopal, K., Zhang, P. and Jafari, S. (2022e), "The effects of extreme multistability on the collective dynamics of coupled memristive neurons", Eur. Phys. J. Spec. Topic., 1-8. https://doi.org/10.1140/epjs/s11734-022-00558-x.
  131. 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., 29(10), 1475-1488. https://doi.org/10.1080/15376494.2020.1824284.
  132. Wu, J. and Habibi, M. (2021), "Dynamic simulation of the ultrafast-rotating sandwich cantilever disk via finite element and semi-numerical methods", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-021-01396-6.
  133. Wu, T. and Liu, G. (1999), "A differential quadrature as a numerical method to solve differential equations", Comput. Mech., 24(3), 197-205. https://doi.org/10.1007/s004660050452.
  134. 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. Elem., 143, 28-42. https://doi.org/10.1016/j.enganabound.2022.06.003.
  135. 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 metalcatalyzed nitriding reaction", Rare Metal., 39(5), 589-596. https://doi.org/10.1007/s12598-020-01385-6.
  136. 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. https://doi.org/10.1016/j.compstruct.2021.114395.
  137. Xue, Y., Jin, G., Ma, X., Chen, H., Ye, T., Chen, M. and Zhang, Y. (2019), "Free vibration analysis of porous plates with porosity distributions in the thickness and in-plane directions using isogeometric approach", Int. J. Mech. Sci., 152, 346-362. https://doi.org/10.1016/j.ijmecsci.2019.01.004.
  138. Yang, N., Moradi, Z., Khadimallah, M.A. and Arvin, H. (2022), "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. Elem., 139, 169-179. https://doi.org/10.1016/j.enganabound.2022.03.013.
  139. Yu, X., Maalla, A. and Moradi, Z. (2022), "Electroelastic highorder computational continuum strategy for critical voltage and frequency of piezoelectric NEMS via modified multi-physical couple stress theory", Mech. Syst. Signal Pr., 165, 108373. https://doi.org/10.1016/j.ymssp.2021.108373.
  140. 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.
  141. Zeighampour, H. and Tadi Beni, Y. (2014), "Size-dependent vibration of fluid-conveying double-walled carbon nanotubes using couple stress shell theory", Physica E: Low Dimens. Syst. Nanostruct., 61, 28-39. https://doi.org/10.1016/j.physe.2014.03.011.
  142. Zhang, J., Zhu, C., Zheng, L. and Xu, K. (2021a), "ROSEFusion: random optimization for online dense reconstruction under fast camera motion", ACM Trans. Graph. (TOG), 40(4), 1-17. https://doi.org/10.1145/3450626.3459676.
  143. Zhang, X., Wang, Y., Yang, M. and Geng, G. (2021b), "Toward concurrent video multicast orchestration for caching-assisted mobile networks", IEEE Trans. Vehic. Technol., 70(12), 13205-13220. https://doi.org/10.1109/TVT.2021.3119429.
  144. Zhang, Y., Wang, Z., Tazeddinova, D., Ebrahimi, F., Habibi, M. and Safarpour, H. (2021c), "Enhancing active vibration control performances in a smart rotary sandwich thick nanostructure conveying viscous fluid flow by a PD controller", Wave. Random Complex Media, 1-24. https://doi.org/10.1080/17455030.2021.1948627.
  145. Zhao, Y., Moradi, Z., Davoudi, M. and Zhuang, J. (2022), "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.
  146. Zheng, W., Cheng, J., Wu, X., Sun, R., Wang, X. and Sun, X. (2022), "Domain knowledge-based security bug reports prediction", Knowl-Bas. Syst., 241, 108293. https://doi.org/10.1016/j.knosys.2022.108293.
  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.