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On wave propagation of football ball in the free kick and the factors affecting it

  • Xumao Cheng (School of Physical Education, Shanghai University of Sport) ;
  • Ying Wu (School of Physical Education, Shanghai University of Sport)
  • Received : 2022.07.03
  • Accepted : 2023.03.06
  • Published : 2023.03.10

Abstract

In this research, the researcher has examined the factors affecting the movement of the soccer ball and will show that the effects such as air resistance, altitude above sea level, wind, air pressure, air temperature, air humidity, rotation of the earth, changes in the earth's gravitational acceleration in different areas. It, the geographical length and latitude of the launch point, the change of gravitational acceleration with height, the change of pressure with height, the change of temperature with height and also the initial spin (Magnus effect) affect the movement of projectiles (especially soccer ball). We modelled th ball based on shell element and derive the motion equations by energy method. Finally, using numerical solution, the wave of the ball is studied. The influences of various parameters are investigated on wave propagation of the ball. Therefore, in short, it can be said that the main factors that play a major role in the lateral deviation of the hit ball are the initial spin of the ball and the wind.

Keywords

References

  1. Farrokhian, A. (2020a), "Buckling response of smart plates reinforced by nanoparticles utilizing analytical method", Steel Compos. Struct., 35(1), 1-12, https://doi.org/10.12989/scs.2020.35.1.001.
  2. Farrokhian, A. (2020b), "The effect of voltage and nanoparticles on the vibration of sandwich nanocomposite smart plates", Steel Compos. Struct., 34(5), 733-742, https://doi.org/10.12989/scs.2020.34.5.733.
  3. Farrokhian, A. and Salmani-Tehrani, M, (2020), "Surface and small scale effects on the dynamic buckling of carbon nanotubes with smart layers assuming structural damping", Steel Compos. Struct., 37(2), 229-251, https://doi.org/10.12989/scs.2020.37.2.229.
  4. Golabchi, H., Kolahchi, R. and Rabani Bidgoli, M. (2018), "Vibration and instability analysis of pipes reinforced by SiO2 nanoparticles considering agglomeration effects", Comput. Concrete, 21, 431-440. https://doi.org/10.12989/cac.2018.21.4.431.
  5. Hajmohammad, M.H., Azizkhani, M.B. and Kolahchi, R. (2018), "Multiphase nanocomposite viscoelastic laminated conical shells subjected to magneto-hygrothermal loads: Dynamic buckling analysis", Int. J. Mech. Sci., 137, 205-213. https://doi.org/10.1016/j.ijmecsci.2018.01.026 .
  6. Hajmohammad, M.H., Nouri, A.H., Zarei, M.S. and Kolahchi, R. (2019a), "A new numerical approach and visco-refined zigzag theory for blast analysis of auxetic honeycomb plates integrated by multiphase nanocomposite facesheets in hygrothermal", Eng. Comput., 35(4), 1141-1157. https://doi.org/10.1007/s00366-018-0655-x.
  7. Kolahchi, R. (2017a), "A comparative study on the bending, vibration and buckling of viscoelastic sandwich nano-plates based on different nonlocal theories using DC, HDQ and DQ methods", Aerosp. Sci. Technol., 66, 235-248. https://doi.org/10.1016/j.ast.2017.03.016.
  8. Kolahchi, R. and Kolahdouzan, F. (2021), "A numerical method for magneto-hygro-thermal dynamic stability analysis of defective quadrilateral graphene sheets using higher order nonlocal strain gradient theory with different movable boundary conditions", Appl. Math. Model., 91, 458-475. https://doi.org/10.1016/j.apm.2020.09.060.
  9. Kolahchi, R., Arbabi, A. and Rabani Bidgoli, M. (2020b), "Experimental study for ZnO nanofibers effect on the smart and mechanical properties of concrete", Smart Struct. Syst., 25(1), 97-104. https://doi.org/10.12989/sss.2020.25.1.097.
  10. Kolahchi, R., Hosseini, H., Fakhar, M.H., Taherifar, R. and Mahmoudi, M. (2018), "A numerical method for magneto-hygro-thermal postbuckling analysis of defective quadrilateral graphene sheets using higher order nonlocal strain gradient theory with different movable boundary conditions", Comput. Mathemat. Appl., 78(6), 2018-2034. https://doi.org/10.1016/j.camwa.2019.03.042.
  11. Kolahchi, R., Keshtegar, B. and Trung, N.T. (2022), "Optimization of dynamic properties for laminated multiphase nanocomposite sandwich conical shell in thermal and magnetic conditions", Int. J. Sandw. Struct., 24, 643-662. https://doi.org/10.1177/10996362211020388
  12. Kolahchi, R., Safari, M. and Esmailpour, M. (2016), "Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium", Compos. Struct., 150, 255-265. ttps://doi.org/10.1016/j.compstruct.2016.05.023.
  13. Kolahchi, R., Zarei, M.S., Hajmohammad, M.H. and Nouri, A.H. (2017b), "Wave propagation of embedded viscoelastic FGCNT-reinforced sandwich plates integrated with sensor and actuator based on refined zigzag theory", Int. J. Mech. Sci., 130, 534-545. https://doi.org/10.1016/j.ijmecsci.2017.06.039.
  14. Kolahchi, R., Zhu, S.P., Keshtegar, B. and Trung, N.T. (2020a). "Dynamic buckling optimization of laminated aircraft conical shells with hybrid nanocomposite martial", Aerosp. Sci. Technol., 98, 105656, https://doi.org/10.1016/j.ast.2019.105656.
  15. Motezaker, M. and Kolahchi, R. (2017), "Seismic response of SiO2 nanoparticles-reinforced concrete pipes based on DQ and newmark methods", Comput. Concrete, 19(6), 745-753. https://doi.org/10.12989/cac.2017.19.6.745.
  16. Motezaker, M., Kolahchi, R., Kumar Rajak, D. and Mahmoud, S.R. (2021), "Influences of fiber reinforced polymer layer on the dynamic deflection of concrete pipes containing nanoparticle subjected to earthquake load", Polym. Compos. https://doi.org/10.1002/pc.26118.
  17. Oner, E., Yaylaci, M., Birinci, A. (2015), "Analytical solution of a contact problem and comparison with the results from FEM". Struct. Eng. Mech., 54(4), 607-622. https://doi.org/10.12989/sem.2015.54.4.000.
  18. Uzun Yaylaci, E., Yaylaci, M., Olmez, H. and Birinci, A. (2020), "Artificial Neural Network Calculations for A Receding Contact Problem", Comput. Concrete, 25, 551-563, https://doi.org/10.12989/cac.2020.25.6.000.
  19. Yaylaci M, Avcar M., (2020), "Finite element modeling of contact between an elastic layer and two elastic quarter planes", Comput. Concrete, 26(2), 107-114, https://doi.org/10.12989/cac.2020.26.2.000.
  20. Yaylaci M., Adiyaman E., Oner E. and Birinci A. (2021c), "Investigation of continuous and discontinuous contact cases in the contact mechanics of graded materials using analytical method and FEM", Comput. Concrete, 27, 199-210, https://doi.org/10.12989/cac.2021.27.3.199.
  21. Yaylaci M., Yayli M., Uzun Yaylaci E., Olmez, H. and Birinci A. (2021), "Analyzing the contact problem of a functionally graded layer resting on an elastic half plane with theory of elasticity, finite element method and multilayer perceptron", Struct. Eng. Mech., 78(5), 585-597. https://doi.org/10.12989/sem.2021.78.5.585.
  22. Yaylaci, M., Adiyaman, E., Oner, E. and Birinci, A., (2020), "Examination of analytical and finite element solutions regarding contact of a functionally graded layer", Struct. Eng. Mech., 76, 325-336, https://doi.org/10.12989/sem.2020.76.3.325.
  23. Yaylaci, M., Eyuboglu, A., Adiyaman, G., Uzun Yaylaci, E., Oner, E. and Birinci, A. (2021a), "Assessment of different solution methods for receding contact problems in functionally graded layered mediums", Mech. Mater., 154, 103730. https://doi.org/10.1016/j.mechmat.2020.103730.