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On the wave propagations of football game ball after contacting with the player foot

  • Lei Sun (Physical Education College of Jilin University) ;
  • Cancan Wei (Physical Education College of Jilin University) ;
  • Fei Liu (Department of Public Physical, Changchun Humanities and Sciences College) ;
  • Lijun Wang (International College, krirk university) ;
  • Bo Ren (School of Economics and Management Shanghai University of Sport)
  • Received : 2021.05.17
  • Accepted : 2023.04.18
  • Published : 2023.06.25

Abstract

Wave propagation with high transverse deflection could affect the stability of the ball in its trajectory. For low stiffness balls similar to soccer and volleyball balls, the waves are more noticeable in comparison to other balls like ping-pong ball. On the other hand, the soccer balls are under heavy impact loads from shoots and contacting different objects in the field. The maximum recorded speed of a soccer ball after kicking is the 211 km/hr and the average maximum speed is around 112 km/hr. Therefore, in such speeds the aerodynamic forces become important which are directly related to geometrical shape of the ball. In this regard, the wave propagation in soccer ball is examined in the current study using large deformation shear deformable formulations. Classical relations of stress-strain components are taken into consideration along with minimum total energy principle. The final derived relations were solved by using harmonic differential quadrature method. The results are generally presented ion term of phase velocity as function of different influencing parameters of the materials, geometry and mass of the ball.

Keywords

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  87. 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-Walled Struct., 179, 109631. https://doi.org/10.1016/j.tws.2022.109631.
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  92. 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. with Comput., 1-16. https://doi.org/10.1007/s00366-021-01419-2.
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  112. Naghipour, M., Yousofizinsaz, G. and Shariati, M. (2020b), "Experimental study on axial compressive behavior of welded built-up CFT stub columns made by cold-formed sections with different welding lines", Steel Compos. Struct., 34(3), 347-359. https://doi.org/10.12989/scs.2020.34.3.347.
  113. 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.
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  117. 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", Scientific Reports, 10(1), 1-19. https://doi.org/10.1038/s41598-020-61855-w.
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  122. Razavian, L., Naghipour, M., Shariati, M. and Safa, M. (2020), "Experimental study of the behavior of composite timber columns confined with hollow rectangular steel sections under compression", Struct. Eng. Mech., 74(1), 145-156. https://doi.org/10.12989/sem.2020.74.1.145.
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  135. Shariat, M., Lagzian, M., Maleki, S., Shariati, A. and Thoi Trung, N. (2020), "Evaluation of seismic performance factors for tension-only braced frames", Steel Compos. Struct., 35(4), 599-609. https://doi.org/10.12989/scs.2020.35.4.599.
  136. Shariati, A., Barati, M.R., Ebrahimi, F., Singhal, A. and Toghroli, A. (2020a), "Investigating vibrational behavior of graphene sheets under linearly varying in-plane bending load based on the nonlocal strain gradient theory", Adv. Nano Res., 8(4), 265-276. https://doi.org/10.12989/anr.2020.8.4.265.
  137. Shariati, A., Bayrami, S.S., Ebrahimi, F. and Toghroli, A. (2022a), "Wave propagation analysis of electro-rheological fluid-filled sandwich composite beam", Mech. Based Des. Struc., 50(5), 1481-1490. https://doi.org/10.1080/15397734.2020.1745646.
  138. Shariati, A., Ebrahimi, F., Hosseini, S.H.S., Toghroli, A. and Bayrami, S.S. (2022b), "On the nonlinear dynamics of viscoelastic graphene sheets conveying nanoflow: Parametric excitation analysis", Mech. Based Des. Struc., 50(3), 781-798. https://doi.org/10.1080/15397734.2020.1728544.
  139. Shariati, A., Ebrahimi, F., Karimiasl, M., Selvamani, R. and Toghroli, A. (2020b), "On bending characteristics of smart magneto-electro-piezoelectric nanobeams system", Advances in nano research. 9(3), 183-191. http://dx.doi.org/10.12989/anr.2020.9.3.183
  140. Shariati, A., Habibi, M., Tounsi, A., Safarpour, H. and Safa, M. (2020c), "Application of exact continuum size-dependent theory for stability and frequency analysis of a curved cantilevered microtubule by considering viscoelastic properties", Eng. With Comput., 1-20. https://doi.org/10.1007/s00366-020-01024-9.
  141. Shariati, A., Hosseini, S.H.S., Bayrami, S.S., Ebrahimi, F. and Toghroli, A. (2021a), "Effect of residual surface stress on parametrically excited nonlinear dynamics and instability of viscoelastic piezoelectric nanoelectromechanical resonators", Eng. with Comput., 37(3), 1835-1850. https://doi.org/10.1007/s00366-019-00916-9.
  142. Shariati, A., Hosseini, S.H.S., Ebrahimi, F. and Toghroli, A. (2021b), "Nonlinear dynamics and vibration of reinforced piezoelectric scale-dependent plates as a class of nonlinear Mathieu-Hill systems: parametric excitation analysis", Eng. with Comput., 37(3), 2285-2301. https://doi.org/10.1007/s00366-020-00942-y.
  143. Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020d), "On the vibrations and stability of moving viscoelastic axially functionally graded nanobeams", Materials, 13(7), 1707. https://doi.org/10.3390/ma13071707.
  144. Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020e), "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.
  145. Shariati, M., Armaghani, D.J., Khandelwal, M., Zhou, J. and Khorami, M. (2021c), "Assessment of longstanding effects of fly ash and silica fume on the compressive strength of concrete using extreme learning machine and artificial neural network", J. Adv. Eng. Comput., 5(1), 50-74. http://dx.doi.org/10.25073/jaec.202151.308.
  146. Shariati, M., Azar, S.M., Arjomand, M.-A., Tehrani, H.S., Daei, M. and Safa, M. (2020f), "Evaluating the impacts of using piles and geosynthetics in reducing the settlement of fine-grained soils under static load", Geomech. Eng., 20(2), 87-101. https://doi.org/10.12989/gae.2020.20.2.087.
  147. Shariati, M., Davoodnabi, S.M., Toghroli, A., Kong, Z. and Shariati, A. (2021d), "Hybridization of metaheuristic algorithms with adaptive neuro-fuzzy inference system to predict load-slip behavior of angle shear connectors at elevated temperatures", Compos. Struct., 278, 114524. https://doi.org/10.1016/j.compstruct.2021.114524.
  148. Shariati, M., Ghorbani, M., Naghipour, M., Alinejad, N. and Toghroli, A. (2020g), "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.
  149. Shariati, M., Grayeli, M., Shariati, A. and Naghipour, M. (2020h), "Performance of composite frame consisting of steel beams and concrete filled tubes under fire loading", Steel Compos. Struct., 36(5), 587-602. https://doi.org/10.12989/scs.2020.36.5.587.
  150. Shariati, M., Heirati, A., Zandi, Y., Laka, H., Toghroli, A., Kianmehr, P., Safa, M., Salih, M.N. and Poi-Ngian, S. (2019a), "Application of waste tire rubber aggregate in porous concrete", Smart Struct. Syst., 24(4), 553-566. https://doi.org/10.12989/sss.2019.24.4.553.
  151. Shariati, M., Mafipour, M.S., Mehrabi, P., Ahmadi, M., Wakil, K., Trung, N.T. and Toghroli, A. (2020i), "Prediction of concrete strength in presence of furnace slag and fly ash using Hybrid ANN-GA (Artificial Neural Network-Genetic Algorithm)", Smart Struct. Syst., 25(2), 183-195. https://doi.org/10.12989/sss.2020.25.2.183.
  152. Shariati, M., Mafipour, M.S., Mehrabi, P., Bahadori, A., Zandi, Y., Salih, M.N., Nguyen, H., Dou, J., Song, X. and Poi-Ngian, S. (2019b), "Application of a hybrid artificial neural network-particle swarm optimization (ANN-PSO) model in behavior prediction of channel shear connectors embedded in normal and high-strength concrete", Appl. Sci., 9(24), 5534. https://doi.org/10.3390/app9245534.
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