DOI QR코드

DOI QR Code

Vibration of axially moving 3-phase CNTFPC plate resting on orthotropic foundation

  • 투고 : 2015.10.26
  • 심사 : 2015.12.11
  • 발행 : 2016.01.10

초록

In the present study, modelling and vibration control of axially moving laminated Carbon nanotubes/fiber/polymer composite (CNTFPC) plate under initial tension are investigated. Orthotropic visco-Pasternak foundation is developed to consider the influences of orthotropy angle, damping coefficient, normal and shear modulus. The governing equations of the laminated CNTFPC plates are derived based on new form of first-order shear deformation plate theory (FSDT) which is simpler than the conventional one due to reducing the number of unknowns and governing equations, and significantly, it does not require a shear correction factor. Halpin-Tsai model is utilized to evaluate the material properties of two-phase composite consist of uniformly distributed and randomly oriented CNTs through the epoxy resin matrix. Afterwards, the structural properties of CNT reinforced polymer matrix which is assumed as a new matrix and then reinforced with E-Glass fiber are calculated by fiber micromechanics approach. Employing Hamilton's principle, the equations of motion are obtained and solved by Hybrid analytical numerical method. Results indicate that the critical speed of moving laminated CNTFPC plate can be improved by adding appropriate values of CNTs. These findings can be used in design and manufacturing of marine vessels and aircrafts.

키워드

과제정보

연구 과제 주관 기관 : University of Kashan

참고문헌

  1. Basar, Y. and Omurtag, M.H. (2000), "Free-vibration analysis of thin/thick laminated structures by layerwise shell models", Comput. Struct., 74, 409-427. https://doi.org/10.1016/S0045-7949(99)00061-9
  2. Dogruoglu, A.N. and Omurtag, M.H. (2000), "Stability analysis of composite-plate foundation interaction by mixed FEM", J. Eng. Mech., 126(9), 928-936. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:9(928)
  3. Dong Yang, X., Qun Chen, L. and Zu, J.W. (2011), "Vibrations and stability of an axially moving rectangular composite plate", J. Appl. Mech., 78(1), 011018- 011029. https://doi.org/10.1115/1.4002002
  4. Ghorbanpour Arani, A. and Haghparast, E. (2015), "Size-dependent vibration of axially moving viscoelastic microplates based on sinusoidal shear deformation theory", Int. J. Appl. Mech. (in Press)
  5. Hatami, S., Azhari, M. and Saadatpour, M.M. (2007), "Free vibration of moving laminated composite plates", Compos. Struct., 80, 609-620. https://doi.org/10.1016/j.compstruct.2006.07.009
  6. Hatami, S., Ronagh, H.R. and Azhari, M. (2008), "Exact free vibration analysis of axially moving viscoelastic plates", Compos. Struct., 86, 1738-1746. https://doi.org/10.1016/j.compstruc.2008.02.002
  7. Kant, T. and Swaminathan, K. (2001), "Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory", Compos. Struct., 53, 73-85. https://doi.org/10.1016/S0263-8223(00)00180-X
  8. Khalaj, O., Moghaddas Tafreshi, S.N., Masek, B and Dawson, A.R. (2015), "Improvement of pavement foundation response with multi-layers of geocell reinforcement: Cyclic plate load test". Geomech. Eng., 9, 373-395. https://doi.org/10.12989/gae.2015.9.3.373
  9. Khorshid, K. and Farhadi, S. (2013), "Free vibration analysis of a laminated composite rectangular plate in contact with a bounded fluid", Compos. Struct., 104, 176-186. https://doi.org/10.1016/j.compstruct.2013.04.005
  10. Kim, M., Park, Y.B., Okoli, O.I. and Zhang, C. (2009), "Processing, characterization, and modeling of carbon nanotube-reinforced multiscale composites", Compos. Sci. Technol., 69, 335-342. https://doi.org/10.1016/j.compscitech.2008.10.019
  11. Kutlu, A. and Omurtag, M.H. (2012), "Large deflection bending analysis of elliptic plates on orthotropic elastic foundation with mixed finite element method", Int. J. Mech. Sci., 66, 64-74.
  12. Marynowski, K. and Grabski, J. (2013), "Dynamic analysis of an axially moving plate subjected to thermal loading", Mech. Res. Commun., 51, 67-71. https://doi.org/10.1016/j.mechrescom.2013.05.004
  13. Matsunaga, H. (2005), "Thermal buckling of cross-ply laminated composite and sandwich plates according to a global higher-order deformation theory", Compos. Struct., 68, 439-454. https://doi.org/10.1016/j.compstruct.2004.04.010
  14. Phan, N.D. and Reddy, J.N. (1985), "Analysis of laminated composite plates using a higher-order shear deformation theory", Int. J. Numer. Meth. Eng., 21(12), 2201-2219. https://doi.org/10.1002/nme.1620211207
  15. Rafiee, M., He, X.Q., Mareishi, S. and Liew, K.M. (2014), "Modeling and stress analysis of smart CNTs/fiber/polymer multiscale composite plates", Int. J. Appl. Mech., 6(3), 1450025-1450048. https://doi.org/10.1142/S1758825114500252
  16. Reddy, J.N. (1984), "A simple higher order theory for laminated composite plates", J. Appl. Mech., 51, 745-752. https://doi.org/10.1115/1.3167719
  17. Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, Second Edition, CRC Press LLC, Florida, USA.
  18. Tahouneh, V. (2014), "Free vibration analysis of bidirectional functionally graded annular plates resting on elastic foundations using differential quadrature method", Struct. Eng. Mech., 52, 663-686. https://doi.org/10.12989/sem.2014.52.4.663
  19. Thai, H.T., Nguyen, T.K., Vo, T.P. and Lee, J. (2014), "Analysis of functionally graded sandwich plates using a new first-order shear deformation theory", Eur. J. Mech. A. Solid., 45, 211-225. https://doi.org/10.1016/j.euromechsol.2013.12.008
  20. Thostenson, E.T., Li, W.Z., Wang, D.Z., Ren, Z.F. and Chou, T.W. (2002), "Carbon nanotube/carbon fiber hybrid multiscale composites", J. Appl. Phys., 91, 6034-6037. https://doi.org/10.1063/1.1466880

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