Advances in nano research

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Structural monitoring of layered FGM distribution ring support: Analysis with and without internal pressure

  • Ghamkhar, Madiha (Mathematics and Statistics Department, University of Agriculture) ;
  • Harbaoui, Imene (Laboratory of Applied Mechanics and Engineering LR-MAI, University Tunis El Manar) ;
  • Hussain, Muzamal (Govt. College University Faisalabad) ;
  • Ayed, Hamdi (Department of Civil Engineering, College of Engineering, King Khalid University) ;
  • Khadimallah, Mohamed A. (Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department) ;
  • Alshoaibi, Adil (Department of Physics, College of Science, King Faisal University)
  • Received : 2020.01.23
  • Accepted : 2021.12.30
  • Published : 2022.03.25
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Abstract

In this work, the vibrational frequency of two layered FGM cylindrical shell with and without the effects of internal pressure under ring support are discussed in detailed. The functionally graded materials of a cylindrical shell are designed for specific purpose and studied under various boundary conditions. The Love shell dynamical equations theory is utilized to find the relationship between the curvature displacement and strain displacement. Natural frequency vibrations are analyzed by using volume polynomial for bi-layered FGM shell under ring support both for with and without internal pressures.

Keywords

Acknowledgement

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups under grant number R.G.P.2/2/43.

References

  1. Akbari, M., Kiani, Y. and Eslami, M.R. (2015), "Thermal buckling of temperature-dependent FGM conical shells with arbitrary edge supports", Acta Mech., 226(3), 897-915. https://doi.org/10.1007/s00707-014-1168-3.
  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. Benmansour, D.L., Kaci, A., Bousahla, A.A., Heireche, H., Tounsi, A., Alwabli, A.S., Alhebshi, A.M., Al-ghmady, K. Mahmoud, S. R. (2019). The nano scale bending and dynamic properties of isolated protein microtubules based on modified strain gradient theory", Adv. Nano Res., 7(6), 443-457. https://doi.org/10.12989/anr.2019.7.6.443.
  4. Bert, C.W and M. Malik, (1996), "Free vibration analysis of thin cylindrical shells by the dierential quadrature method", J. Math., 46, 23-29. https://doi.org/10.1115/1.2842156.
  5. Bolomey, J.C. (1989), "Recent European developments in active microwave imaging for industrial, scientific, and medical applications", IEEE T. Microw. Theory, 37(12), 2109-2117. https://doi.org/10.1109/22.44129.
  6. Chandrasekaran, S. (2020), Design of Marine Risers with Functionally Graded Materials, Woodhead Publishing, Sawston, U.K.
  7. De Sousa, J.M., Bizao, R.A., Sousa Filho, V.P., Aguiar, A.L., Coluci, V.R., Pugno, N.M., Girao, E.C. and Galvao, D.S. (2019), "Elastic properties of graphyne-based nanotubes", Comput. Mater. Sci., 170, 109153. https://doi.org/10.1016/j.commatsci.2019.109153.
  8. Ebrahimi, F., Dabbagh, A., Rabczuk, T. and Tornabene, F. (2019), Analysis of propagation characteristics of elastic waves in heterogeneous nanobeams employing a new two-step porosity-dependent homogenization scheme", Adv. Nano Res., 7(2), 135-143. https://doi.org/10.12989/anr.2019.7.2.135.
  9. Ebrahimi, M.M and M.J. Najafizadeh. (2014), "Free vibration analysis of two-dimensional functionnally graded cylindrical shells", Appl. Math. Modell., 38, 308-324. https://doi.org/10.1016/j.apm.2013.06.015.
  10. Eltaher, M.A., Almalki, T.A., Ahmed, K.I. and Almitani, K.H. (2019), "Characterization and behaviors of single walled carbon nanotube by equivalent-continuum mechanics approach", Adv. Nano Res., 7(1), 39-49. https://doi.org/10.12989/anr.2019.7.1.039.
  11. Golpayegani, I.F and Jafari, A.A. (2017), "Critical speed analysis of bi-layered rotating cylindrical shells made of functionally graded materials", Int. J. Mech., 23, 77-89.
  12. Gupta, A. and Talha, M. (2015), "Recent development in modeling and analysis of functionally graded materials and structures", Prog. Aerosp. Sci., 79, 1-14. https://doi.org/10.1016/j.paerosci.2015.07.001.
  13. Hussain, M. and Naeem, M.N. (2019), "Eects of ring supports on vibration of armchair and zigzag FGM rotating carbon nanotubes using Galerkin's method", Compos. Part B Eng., 163, 548-561. https://doi.org/10.1016/j.compositesb.2018.12.144.
  14. Isvandzibaei, M.R., Jamaluddin, H. and Hamzah, R.R. (2014), "Effects of uniform interior pressure distribution on vibration of FGM cylindrical shell with rings support based on first-order theory subjected to ten boundary conditions", Acta Mech., 225(7), 2085-2109. https://doi.org/10.1007/s00707-013-1079-8.
  15. Kiani Y.A.S.S.E.R. and Eslami, M.R. (2013), "Thermomechanical buckling oftemperature-dependent FGM beams", Latin Am. J. Solid Struct., 10, 223-246. https://doi.org/10.1590/S1679-78252013000200001.
  16. Lam, K.Y. and Loy, C.T. (1985), "Effects of boundary conditions on frequencies of a multi-layered cylindrical shell", J. Sound Vib. 188, 363-384. https://doi.org/10.1006/jsvi.1995.0599.
  17. Loy, C.T., Lam, K.Y. and J.N. Reddy. (1999), "Vibration of functionally graded cylindrical shells", Int. J. Mech. Sci., 41, 309- 324. https://doi.org/10.1016/S0020-7403(98)00054-X.
  18. Mahamood, R.M. and Akinlabi, E.T. (2017), Types of Functionally Graded Materials and Their Areas of Application in Functionally Graded Materials, Springer Cham, Denmark.
  19. Mahamood, R.M., Akinlabi, E.T., Shukla, M. and Pityana, S.L. (2012), "Functionally graded material: An overview", Proceedings of the World Congress on Engineering 2012 Vol III (WCE 2012), London, U.K., July.
  20. Malekzadeh, P. and Heydarpour, Y. (2012). "Free vibration analysis of rotating functionally graded cylindrical shells in thermal environment", Compos. Struct., 94(9), 2971-2981. https://doi.org/10.1016/j.compstruct.2012.04.011.
  21. Markworth, A.J., Ramesh, K.S. and Parks, W.P. (1995), "Modelling studies applied to functionally graded materials", J. Mater. Sci., 30(9), 2183-2193. https://doi.org/10.1007/BF01184560.
  22. Muller, P., Mognol, P. and Hascoet, J.Y. (2013), "Modeling and control of a direct laser powder deposition process for Functionally Graded Materials (FGM) parts manufacturing", J. Mater. Proc. Technol., 213(5), 685-692. https://doi.org/10.1016/j.jmatprotec.2012.11.020Get.
  23. Naeem, S., Bunker, D.E., Hector, A., Loreau, M. and Perrings, C. (2009), Biodiversity, Ecosystem Functioning And Human Wellbeing: An Ecological And Economic Perspective, Oxford University Press, Oxford, U.K.
  24. Niino, M., Kumakawa, A., Watanabe, R. and Doi, Y. (1984), "Fabrication of a high pressure thrust chamber by the CIP forming method", Proceedings of the 20th Joint Propulsion Conference, Ohio, U.S.A., June.
  25. Pradhan, S.C., Loy, C.T., Lam, K.Y. and Reddy, J.N. (2000), "Vibration characteristics of functionally graded cylindrical shells under various boundary conditions", Appl. Acoust., 61(1), 111-129. https://doi.org/10.1016/S0003-682X(99)00063-8.
  26. Rahimi, G.H., R. Ansari and M. Hemmatnezhad. (2011), "Vibration of functionally graded cylindrical shells with ring support", ScientiaIranica, 18(6), 1313-1320. https://doi.org/10.1016/j.scient.2011.11.026.
  27. Safaei, B., Khoda, F.H. and Fattahi, A.M. (2019), "Non-classical plate model for single-layered graphene sheet for axial buckling", Adv. Nano Res., 7(4), 265-275. https://doi.org/10.12989/anr.2019.7.4.265.
  28. Schollhammer, D. and Fries, T.P. (2019), "Kirchhoff-Love shell theory based on tangential differential calculus" Comput. Mech., 64(1), 113-131. https://doi.org/10.1007/s00466-018-1659-5.
  29. Shah, A.G., Mahmood, T. and Naeem, M.N. (2009), "Vibrations of FGM thin cylindrical shells with exponential volume fraction law", Appl. Math. Mech., 30(5), 607-615. https://doi.org/10.1007/s10483-009-0507-x.
  30. Shahsavari, D., Karami, B. and Janghorban, M. (2019), "Size-dependent vibration analysis of laminated composite plates", Adv. Nano Res., 7(5), 337-349. https://doi.org/10.12989/anr.2019.7.5.337.
  31. Wetherhold, R.C., Seelman, S. and Wang, J. (1996), "The use of functionally graded materials to eliminate or control thermal deformation", Compos. Sci. Technol., 56, 1099-1104. https://doi.org/10.1016/0266-3538(96)00075-9.
  32. Zhang, X.M. (2002), "Frequency analysis of submerged cylindrical shells with the wave propagation approach", Int. J. Mech. Sci., 44, 1259-1273. https://doi.org/10.1016/S0020-7403(02)00059-0.