Structural Engineering and Mechanics

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Dynamic analysis of non-symmetric FG cylindrical shell under shock loading by using MLPG method

  • Ferezghi, Yaser Sadeghi (Department of Civil Engineering, Faculty of Engineering, University of Sistan and Baluchestan) ;
  • Sohrabi, Mohamad R. (Department of Civil Engineering, Faculty of Engineering, University of Sistan and Baluchestan) ;
  • MosaviNezhad, Seyed M. (Department of Civil Engineering, Faculty of Engineering, University of Birjand)
  • Received : 2017.11.27
  • Accepted : 2018.07.10
  • Published : 2018.09.25
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Abstract

The Dynamic equations in the polar coordinates are drawn out using the MLPG method for the non-symmetric FG cylindrical shell. To simulate the mechanical properties of FGM, the nonlinear volume fractions for radial direction are used. The shape function applied in this paper is a form of the radial basis functions, by using this function all the requirements for an effective and suitable shape function are established. Hence in this study, the multiquadrics (MQ) radial basis functions are exploited as the shape function governing the problem. The MLPG method is combined with the the Newmark time approximation scheme to solve dynamic equations in the time domain. The obtained results by the MLPG method to be verified are compared with the analytical solution and the FEM. The obtained results through the MLPG method show a good agreement in comparison to other results and the MLPG method has high accuracy for dynamic analysis of the non-symmetric FG cylindrical shell. To demonstrate the capability of the present method to dynamic analysis of the non-symmetric FG cylindrical shell, it is analyzed dynamically with different volume fraction exponents under harmonic and rectangular shock loading. The present method shows high accuracy, efficiency and capability to dynamic analysis of the non-symmetric FG cylindrical shell with nonlinear grading patterns.

Keywords

References

  1. Akbari, A., Bagri, A., Bordas, S. and Rabczuk, T. (2010), "Analysis of thermoelastic waves in a two-dimensional functionally graded materials domain by the meshless local Petrov-Galerkin (MLPG) method", Comput. Model. Eng. Sci., 65, 27-74.
  2. Arshad, S.H., Naeem, M.N. and Sultana, N. (2007), "Frequency analysis of functionally graded material cylindrical shells with various volume fraction laws", J. Mech. Eng. Sci., 221, 1483-1495. https://doi.org/10.1243/09544062JMES738
  3. Bian, Z.G. and Wang, Y.H. (2013), "Axisymmetrical bending of single- and multi-span functionally graded hollow cylinders", Struct. Eng. Mech., 45, 355-371. https://doi.org/10.12989/sem.2013.45.3.355
  4. Changcheng, D. and Yinghui, L. (2010), "Vibration characteristic analysis of functionally graded cylindrical thin shells", Proceedings of the 2nd International Conference on Mechanical and Electrical Technology, Singapore, September.
  5. Chen, W.Q., Bian, Z.G. and Ding, H.J. (2004a), "Threedimensional vibration analysis of fluid-filled orthotropic FGM cylindrical shells", Int. J. Mech. Sci., 46, 159-171. https://doi.org/10.1016/j.ijmecsci.2003.12.005
  6. Chen, W.Q., Bian, Z.G., Lv, C.F. and Ding, H.J. (2004b), "3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid", Int. J. Sol. Struct., 41, 947-964. https://doi.org/10.1016/j.ijsolstr.2003.09.036
  7. Foroutan, M. and Moradi-Dastjerdi, R. (2011), "Dynamic analysis of functionally graded material cylinders under an impact load by a mesh-free method", Acta Mech., 219, 281-290. https://doi.org/10.1007/s00707-011-0448-4
  8. Ghadiri Rad, M.H., Shahabian, F. and Hosseini, S.M. (2015), "A meshless local Petrov-Galerkin method for nonlinear dynamic analyses of hyper-elastic FG thick hollow cylinder with Rayleigh damping", Acta Mech., 226(5), 1497-1513. https://doi.org/10.1007/s00707-014-1266-2
  9. Ghannad, M., Zamani Nejad, M., Rahimi, G.H. and Sabouri, H. (2012), "Elastic analysis of pressurized thick truncated conical shells made of functionally graded materials", Struct. Eng. Mech., 43, 105-126. https://doi.org/10.12989/sem.2012.43.1.105
  10. Hosseini, S.M. (2014), "Application of meshless local Petrov-Galerkin (MLPG) and generalized finite difference (GFD) methods in coupled thermoelasticity analysis of thick hollow cylinder", Encyclop. Therm. Stress., 41, 216-224.
  11. Hosseini, S.M. and Abolbashari, M.H. (2010), "General analytical solution for elastic radial wave propagation and dynamic analysis of functionally graded thick hollow cylinders subjected to impact loading", Acta Mech., 212, 1-19. https://doi.org/10.1007/s00707-009-0237-5
  12. Hosseini, S.M. and Shahabian, F. (2011a), "Stochastic assessment of thermo-elastic wave propagation in functionally graded materials (FGMs) with Gaussian uncertainty in constitutive mechanical properties", J. Therm. Stress., 34, 1071-1099. https://doi.org/10.1080/01495739.2011.605995
  13. Hosseini, S.M. and Shahabian, F. (2011b), "Transient analysis of thermo-elastic waves in thick hollow cylinders using a stochastic hybrid numerical method, considering Gaussian mechanical properties", Appl. Math. Modell., 35, 4697-4714. https://doi.org/10.1016/j.apm.2011.03.057
  14. Hosseini, S.M., Akhlaghi, M. and Shakeri, M. (2007), "Dynamic response and radial wave propagation velocity in thick hollow cylinder made of functionally graded materials", Eng. Comput., 24, 288-303. https://doi.org/10.1108/02644400710735043
  15. Hosseini, S.M., Shahabian, F., Sladek, J. and Sladek, V. (2011), "Stochastic meshless local Petrov-Galerkin (MLPG) method for thermo-elastic wave propagation analysis in functionally graded thick hollow cylinders", Comput. Model. Eng. Sci., 71(1), 39-66.
  16. Huang, H., Han, Q., Feng, N. and Fan, X. (2011), "Buckling of functionally graded cylindrical shells under combined loads", Mech. Adv. Mater. Struct., 18(5), 337-346. https://doi.org/10.1080/15376494.2010.516882
  17. Khosravifard, A., Hematiyan, M.R. and Marin, L. (2011), "Nonlinear transient heat conduction analysis of functionally graded materials in the presence of heat sources using an improved meshless radial point interpolation method", Appl. Math. Modell., 35, 4157-4174. https://doi.org/10.1016/j.apm.2011.02.039
  18. Moradi-Dastjerdi, R., Foroutan, M. and Pourasghar, A. (2013), "Dynamic analysis of functionally graded nanocomposite cylinders reinforced by carbon nanotube by a mesh-free method", Mater. Des., 44, 256-266. https://doi.org/10.1016/j.matdes.2012.07.069
  19. Najibi, A. and Shojaeefard, M.H. (2016), "Elastic mechanical stress analysis in a 2D-FGM thick finite length hollow cylinder with newly developed material model", Acta Mech. Sol. Sinic., 29, 178-191. https://doi.org/10.1016/S0894-9166(16)30106-9
  20. Park, K.J. and Kim, Y.W. (2016), "Vibration characteristics of fluid-conveying FGM cylindrical shells resting on Pasternak elastic foundation with an oblique edge", Thin-Wall. Struct., 106, 407-419. https://doi.org/10.1016/j.tws.2016.05.011
  21. Rahimi, G.H., Ansari, R. and Hemmatnezhad, M. (2011), "Vibration of functionally graded cylindrical shells with ring support", Sci. Iranic., 18(6), 1313-1320. https://doi.org/10.1016/j.scient.2011.11.026
  22. Rezaei Mojdehi, A., Darvizeh, A., Basti, A. and Rajabi, H. (2011), "Three dimensional static and dynamic analysis of thick functionally graded plates by the meshless local Petrov-Galerkin (MLPG) method", Eng. Analy. Bound. Elem., 35, 1168-1180. https://doi.org/10.1016/j.enganabound.2011.05.011
  23. Shakeri, M., Akhlaghi, M. and Hoseini, S.M. (2006), "Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder", Compos. Struct., 76, 174-181. https://doi.org/10.1016/j.compstruct.2006.06.022
  24. Shen, H., Paidoussis, M.P., Wen, J., Yu, D. and Wen, X. (2014), "The beam-mode stability of periodic functionally graded material shells conveying fluid", J. Sound Vibr., 333, 2735-2749. https://doi.org/10.1016/j.jsv.2014.01.002
  25. Sladek, J., Sladek, V., Stanak, P., Zhang, C. and Wunsche, M. (2013), "Analysis of the bending of circular piezoelectric plates with functionally graded material properties by a MLPG method", Eng. Struct., 47, 81-89. https://doi.org/10.1016/j.engstruct.2012.02.034
  26. Tu, T.M. and Loi, N.V. (2016), "Vibration analysis of rotating functionally graded cylindrical shells with orthogonal stiffeners", Lat. Am. J. Sol. Struct., 13(15), 2952-2969. https://doi.org/10.1590/1679-78252934
  27. Ugural, A.C. and Fenster, S.K. (2003), Advanced Strength and Applied Elasticity, 4th Edition, Prentice Hall.
  28. Wu, C.P. and Liu, Y.C. (2016), "A state space meshless method for the 3D analysis of FGM axisymmetric circular plates", Steel Compos. Struct., 22, 161-182. https://doi.org/10.12989/scs.2016.22.1.161
  29. Xiang, S. and Chen, Y. (2014), "meshless local collocation method for natural frequencies and mode shapes of laminated composite shells", Struct. Eng. Mech., 51, 893-907. https://doi.org/10.12989/sem.2014.51.6.893
  30. Xiao, J.R., Batra, R.C., Gilhooley, D.F., Gillespie Jr, J.W. and McCarthy, M.A. (2007), "Analysis of thick plates by using a higher-order shear and normal deformable plate theory and MLPG method with radial basis functions", Comput. Meth. Appl. Mech. Eng., 196, 979-987. https://doi.org/10.1016/j.cma.2006.08.002
  31. Zhao, X., Liu, G.R., Dai, K.Y., Zhong, Z.H., Li, G.Y. and Han, X. (2008), "Geometric nonlinear analysis of plates and cylindrical shells via a linearly conforming radial point interpolation method", Comput. Mech., 42, 133-144. https://doi.org/10.1007/s00466-008-0242-x

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