Steel and Composite Structures

  • 제37권2호
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  • Pages.137-150
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  • 2020
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Backward and forward rotating of FG ring support cylindrical shells

  • Khadimallah, Mohamed A. (Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Khedher, Khaled Mohamed (Department of Civil Engineering, College of Engineering, King Khalid University) ;
  • Naeem, Muhammad Nawaz (Department of Mathematics, Govt. College University Faisalabad) ;
  • Tounsi, Abdelouahed (YFL (Yonsei Frontier Lab), Yonsei University)
  • 투고 : 2020.08.03
  • 심사 : 2020.10.13
  • 발행 : 2020.10.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this research work, the analytical rotating vibration for functionally graded shell with ring supports are restricted to some volume fraction laws based on Rayleigh-Ritz technique. The frequencies of functionally grade cylindrical shells have been investigated for the distribution of material composition of material with two kinds of material. Stability of a cylindrical shell depends highly on these aspects of material with ring supports. The frequency behavior is investigated with fraction laws versus circumferential wave number, length-to-radius and height-to-radius ratios. The frequencies are higher for higher values of circumferential wave number. The frequency first increases and gain maximum value with the increase of circumferential wave mode. Moreover, the effect of angular speed is also investigated. It is examined that the backward and forward frequencies increases and decreases on increasing the ratio of height- and length-to-radius ratios.

키워드

참고문헌

  1. Ahmad, M. and Naeem, M.N. (2009), "Vibration characteristics of rotating FGM circular cylindrical shell using wave propagation method", Eur. J. Sci. Res., 36(2), 184-235.
  2. Arani, A.J. and Kolahchi, R. (2016), "Buckling analysis of embedded concrete columns armed with carbon nanotubes", Comput. Concrete, 17(5), 567-578. http://dx.doi.org/10.12989/cac.2016.17.5.567.
  3. Avcar M. (2019), "Free vibration of imperfect sigmoid and power law functionally graded beams", Steel Compos. Struct., 30(6), 603-615. https://doi.org/10.12989/scs.2019.30.6.603.
  4. Bisen, H.B., Hirwani, C.K., Satankar, R.K., Panda, S.K., Mehar, K. and Patel, B. (2018), "Numerical study of frequency and deflection responses of natural fiber (Luffa) reinforced polymer composite and experimental validation", J. Natural Fibers, 1-15. https://doi.org/10.1080/15440478.2018.1503129.
  5. Bryan, G.H. (1890), "On the beats in the vibration of revolving cylinder", Proceedings of the Cambridge philosophical Society, 7, 101-111.
  6. Chen, Y., Zhao, H.B. and Shin, Z.P. (1993), "Vibration of high speed rotating shells with calculation for cylindrical shells", J. Sound Vib., 160, 137. DOI: 10.1006/jsvi.1993.1010.
  7. Chung, H., Turula, P., Mulcahy, T.M. and Jendrzejczyk, J.A. (1981), "Analysis of cylindrical shell vibrating in a cylindrical fluid region", Nuclear Eng. Design, 63(1), (1981) 109-1012. https://doi.org/10.1016/0029-5493(81)90020-0.
  8. Di Taranto, R.A. and Lessen, M. (1964), "Coriolis acceleration effect on the vibration of rotating thin-walled circular cylinder", J. Appl. Mech.- T ASME, 31, 700-701. DOI: 10.1115/1.3629733
  9. Fox, C.H.J. and Hardie, D.J.W. (1985), "Harmonic response of rotating cylindrical shell", J. Sound Vib., 101, 495. https://doi.org/10.1016/S0022-460X(85)80067-5.
  10. Galletly, G.D. (1955), On the in-vacuo vibrations of simply supported, ring-stiffened cylindrical shells. US National Congress of Applied Mechanics.
  11. Jiang, J. and Olson, M.D. (1994), "Vibrational analysis of orthogonally stiffened cylindrical shells using super elements", J. Sound Vib., 173, 73-83. https://doi.org/10.1006/jsvi.1994.1218.
  12. Karami B, Janghorban, M. and Tounsi, A. (2018), "Nonlocal strain gradient 3D elasticity theory for anisotropic spherical nanoparticles", Steel Compos. Struct., 27(2), 201-216. https://doi.org/10.12989/scs.2018.27.2.201.
  13. Karami, B., Janghorban, M. and Tounsi, A. (2017), "Effects of triaxial magnetic field on the anisotropic nanoplates", Steel Compos. Struct., 25(3), 361-374. https://doi.org/10.12989/scs.2017.25.3.361.
  14. Koizumi, M. (1997), "FGM activities in Japan, Composites", https://doi.org/10.1016/S1359-8368(96)00016-9.
  15. Kolahchi, R. (2017), "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.
  16. Kolahchi, R. and Bidgoli, A.M. (2016), "Size-dependent sinusoidal beam model for dynamic instability of single-walled carbon nanotubes", Appl. Matt. Mech., 37(2), 265-274. https://doi.org/10.1007/s10483-016-2030-8
  17. Kolahchi, R., Hosseini, H. and Esmailpour, M. (2016a), "Differential cubature and quadrature-Bolotin methods for dynamic stability of embedded piezoelectric nanoplates based on visco-nonlocal-piezoelasticity theories", Compos. Struct., 157, 174-186. https://doi.org/10.1016/j.compstruct.2016.08.032.
  18. Kolahchi, R., Safari, M. and Esmailpour, M. (2016b), "Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium", Compos. Struct., 150, 255-265. https://doi.org/10.1016/j.compstruct.2016.05.023.
  19. Kolahchi, R., Zarei, M.S., Hajmohammad, M.H. and Nouri, A. (2017), "Wave propagation of embedded viscoelastic FG-CNT-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.
  20. Kunche, M.C., Mishra, P.K., Nallala, H.B., Hirwani, C.K., Katariya, P.V., Panda, S. and Panda, S.K. (2019), "Theoretical and experimental modal responses of adhesive bonded T-joints", Wind Struct., 29(5), 361-369. https://doi.org/10.12989/was.2019.29.5.361.
  21. Lam K.Y. and Loy, C.T. (1994), "On vibration of thin rotating laminated composite cylindrical shells", J. Sound Vib., 116, 198. https://doi.org/10.1016/0961-9526(95)91289-S.
  22. Li, H. and Lam, K.Y. (1998), "Frequency characteristics of a thin rotating cylindrical shell using the generalized differential quadrature method", Int. J. Mech, Sci., 40(5), 443-459. https://doi.org/10.1016/S0020-7403(97)00057-X.
  23. Loy, C.T. and Lam, K.Y. (1997), "Vibration of cylindrical shells with ring supports", J. Mech. Eng., 39, 455-471. https://doi.org/10.1016/S0020-7403(96)00035-5.
  24. Madani H, Hosseini H, and Shokravi M. (2016), "Differential cubature method for vibration analysis of embedded FG-CNT-reinforced piezoelectric cylindrical shells subjected to uniform and non-uniform temperature distributions", Steel Compos. Struct., 22(4), 889-913. https://doi.org/10.12989/scs.2016.22.4.889.
  25. Mehar, K. and Kumar Panda, S. (2018), "Thermal free vibration behavior of FG-CNT reinforced sandwich curved panel using finite element method", Polymer Compos., 39(8), 2751-2764. https://doi.org/10.1002/pc.24266.
  26. Mehar, K. and Panda, S.K. (2019), "Multiscale modeling approach for thermal buckling analysis of nanocomposite curved structure", Adv. Nano Res., 7(3), 181-190. http://dx.doi.org/10.12989/anr.2019.7.3.181.
  27. Mehar, K., Mahapatra, T.R., Panda, S.K., Katariya, P.V. and Tompe, U.K. (2018a), "Finite-element solution to nonlocal elasticity and scale effect on frequency behavior of shear deformable nanoplate structure", J. Eng. Mech., 144(9), 04018094. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001519.
  28. Mehar, K., Panda, S.K. and Mahapatra, T.R. (2017a), "Thermoelastic nonlinear frequency analysis of CNT reinforced functionally graded sandwich structure", Eur. J. Mech.-A-Solids, 65, 384-396. https://doi.org/10.1016/j.euromechsol.2017.05.005.
  29. Mehar, K., Panda, S.K. and Mahapatra, T.R. (2017b), "Theoretical and experimental investigation of vibration characteristic of carbon nanotube reinforced polymer composite structure", Int. J. Mech. Sci., 133, 319-329. https://doi.org/10.1016/j.ijmecsci.2017.08.057.
  30. Mehar, K., Panda, S.K. and Patle, B.K. (2018b), "Stress, deflection, and frequency analysis of CNT reinforced graded sandwich plate under uniform and linear thermal environment: A finite element approach", Polymer Compos., 39(10), 3792-3809. https://doi.org/10.1002/pc.24409.
  31. Mehar, K., Panda, S.K., Dehengia, A. and Kar, V.R. (2016), "Vibration analysis of functionally graded carbon nanotube reinforced composite plate in thermal environment", J. Sandw. Struct. Mater., 18(2), 151-173. https://doi.org/10.1177/1099636215613324.
  32. Motezaker, M. and Eyvazian, A. (2020), "Buckling load optimization of beam reinforced by nanoparticles", Struct. Eng. Mech., 73(5), 481-486 https://doi.org/10.12989/sem.2020.73.5.481.
  33. Motezaker, M. and Eyvazian A. (2020), "Buckling load optimization of beam reinforced by nanoparticles", Struct. Eng. Mech., 73(5), 481-486. https://doi.org/10.12989/sem.2020.73.5.
  34. Naeem, M.N. and Sharma, C.B. (2000), "Prediction of natural frequencies for thin circular cylindrical shells", Proc. Instn. Mech. Engrs, 214(10), 1313-1328. https://doi.org/10.1243/0954406001523290.
  35. Padovan, J. (1975), "Travelling waves vibrations and buckling of rotating anisotropic shells of revolution by finite element", Int. J. Solid Struct., 11(12), 1367-1380. https://doi.org/10.1016/0020-7683(75)90064-5.
  36. Pandey, H.K., Hirwani, C.K., Sharma, N., Katariya, P.V., Dewangan, H.C. and Panda, S.K. (2019), "Effect of nano glass cenosphere filler on hybrid composite eigenfrequency responses-An FEM approach and experimental verification", Adv. Nano Res., 7(6), 419-429. https://doi.org/10.12989/anr.2019.7.6.419.
  37. Penzes, R.L.E. and Kraus H. (1972), "Free vibrations of pre-stresses cylindrical shells having arbitrary homogeneous boundary conditions", AIAA J., 10, 1309. https://doi.org/10.2514/3.6605.
  38. Ramteke, P.M., Mahapatra, B.P., Panda, S.K. and Sharma, N. (2020b), "Static deflection simulation study of 2D Functionally graded porous structure", Materials Today: Proceedings.
  39. Ramteke, P.M., Panda, S.K. and Sharma, N. (2019), "Effect of grading pattern and porosity on the eigen characteristics of porous functionally graded structure", Steel Compos. Struct., 33(6), 865-875. https://doi.org/10.12989/scs.2019.33.6.865.
  40. Ramteke, P., Mehar, K., Sharma, N. and Panda, S. (2020a), Numerical Prediction of Deflection and Stress Responses of Functionally Graded Structure for Grading Patterns (Power-Law, Sigmoid and Exponential) and Variable Porosity (Even/Uneven).
  41. Scientia Iranica. Saito, T. and Endo, M. (1986), "Vibrations of finite length rotating cylindrica shell", J. Sound Vib., 107, 17. https://doi.org/10.1016/0022-460X(86)90279-8.
  42. Sewall, J.L. and Naumann, E.C. (1968), "An experimental and analytical vibration study of thin cylindrical shells with and without longitudinal stiffeners", National Aeronautic and Space Administration; for sale by the Clearinghouse for Federal Scientific and Technical Information, Springfield, Va..
  43. Sharma, C.B. (1974), "Calculation of natural frequencies of fixed-free circular cylindrical shells", J. Sound Vib., 35(1), 55-76. https://doi.org/10.1016/0022-460X(74)90038-8.
  44. Sharma, C.B., Darvizeh, M. and Darvizeh, A. (1998), "Natural frequency response of vertical cantilever composite shells containing fluid", Eng. Struct., 20(8), 732-737. https://doi.org/10.1016/S0141-0296(97)00102-8.
  45. Simsek, M. (2011), "Forced vibration of an embedded single-walled carbon nanotube traversed by a moving load using nonlocal Timoshenko beam theory", Steel Compos. Struct., 11(1), 59-76. https://doi.org/10.12989/scs.2011.11.1.059.
  46. Sivadas, K.R. and Ganesan, N. (1964), "Effect of rotation on vibrations of moderately thin cylindrical shell", J. Vib. Acoust., 116(1), 198-202. DOI: 10.1115/1.2930412.
  47. Srinivasan, A.V. and Luaterbach, G.F. (1971), "Travelling waves in rotating cylindrical shells", J. Eng. Ind. - T. ASME, 93, 1229-1232 (1971). https://doi.org/10.1115/1.3428067.
  48. Suresh, S. and Mortensen, A. (1997), "Functionally gradient metals and metal ceramic composites", Part 2: Thermo Mechanical Behavior", Int. Mater, 42, 85-116. https://doi.org/10.1179/imr.1997.42.3.85.
  49. Swaddiwudhipong, S., Tian, J. and Wang, C.M. (1995), "Vibration of cylindrical shells with ring supports", J. Sound Vib., 187(1), 69-93. https://doi.org/10.1006/jsvi.1995.0503.
  50. Toulokian, Y.S. (1967), "Thermo physical properties of high temperature solid materials", New York: Macmillan.
  51. Wang, S.S. and Chen, Y. (1974), "Effects of rotation on vibrations of circular cylindrical shells", J. Acoust. Soc. Am., 55, 1340- 1342. https://doi.org/10.1121/1.1914708.
  52. Wang, C.M., Swaddiwudhipong, S. and Tian, J. (1997), "Ritz method for vibration analysis of cylindrical shells with ring-stiffeners", J. Eng. Mech., 123, 134-143. http/org/doi/10.1061. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:2(134)
  53. Xiang, Y., Ma. Y.F., Kitipornchai. S. and Lau. C.W.H. (2002), "Exact solutions for vibration of cylindrical shells with intermediate ring supports", Int. J. Mech.Sci., 44(9),1907-1924. https://doi.org/10.1016/S0020-7403(02)00071-1.
  54. Zamanian, M., Kolahchi, R. and Bidgoli, M.R. (2017), "Agglomeration effects on the buckling behaviour of embedded concrete columns reinforced with SiO2 nano-particles", Wind Struct., 24(1), 43-57. https://doi.org/10.12989/was.2017.24.1.043
  55. Zohar, A. and Aboudi, J. (1973), "The free vibrations of thin circular finite rotating cylinder", Int. J. Mech. Sci., 15, 269-278. https://doi.org/10.1016/0020-7403(73)90009-X.

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