Structural Engineering and Mechanics

  • 제3권1호
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  • Pages.49-60
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  • 1995
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Vibration and stability analyses of thick anisotropic composite plates by finite strip method

  • Akhras, G. (Department of Civil Engineering, Royal Military College of Canada) ;
  • Cheung, M.S. (Department of Civil Engineering, University of Ottawa) ;
  • Li, W. (Department of Civil Engineering, University of Ottawa)
  • 발행 : 1995.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

In the present study, a finite strip method for the vibration and stability analyses of anisotropic laminated composite plates is developed according to the higher-order shear deformation theory. This theory accounts for the parabolic distribution of the transverse shear strains through the thickness of the plate and for zero transverse shear stresses on the plate surfaces. In comparison with the finite strip method based on the first-order shear deformation theory, the present method gives improved results for very thick plates while using approximately the same number of degrees of freedom. It also eliminates the need for shear correction factors in calculating the transverse shear stiffness. A number of numerical examples are presented to show the effect of aspect ratio, length-to-thickness ratio, number of plies, fibre orientation and stacking sequence on the natural frequencies and critical buckling loads of simply supported rectangular cross-ply and arbitrary angle-ply composite laminates.

키워드

참고문헌

  1. Akhras, G., Cheung, M.S. and Li, W. (1993), "Static and vibration analysis of anisotropic laminated plates by finite strip method", International Journal of Solids and Structures, 30(22), pp.3129-3137. https://doi.org/10.1016/0020-7683(93)90143-U
  2. Cheung, Y.K. (1976), Finite Strip Method in Structural Analysis, Pergamon Press, Oxford.
  3. Cheung, M.S., Akhras, G.and Li, W. (1993), "Stability analysis of anisotropic laminated composite plates by finite strip method", Computers & Structures, 49(6), pp.963-967. https://doi.org/10.1016/0045-7949(93)90007-Z
  4. Cook, R.D., Malkus, D.S. and Plesha, M.E. (1989), Concepts and Applications of Finite Element Analysis, 3rd edt. John Wiley & Sons, New York.
  5. Craig, T.J. and Dawe, D.J. (1986), "Flexural vibration of symmetrically laminated composite rectangular plates including transverse shear effects", International Journal of Solids and Structures, 22, 155-169. https://doi.org/10.1016/0020-7683(86)90005-3
  6. Craig, T.J. and Dawe, D.J. (1987), "Vibration of shear-deformable laminated plate structures by the finite strip method", Computers and Structures, 27(1), pp. 61-72. https://doi.org/10.1016/0045-7949(87)90181-7
  7. Dawe, D.J. and Craig, T.J. (1986), "The vibration and stability of symmetrically laminated composite rectangular plates subjected to in-plane stresses", Composite Structures, 5, pp. 281-307. https://doi.org/10.1016/0263-8223(86)90038-3
  8. Dawe, D.J. and Roufaeil, O.L. (1982), "Buckling of rectangular Mindlin plates", Computers & Structures, 15(4), pp. 461-471. https://doi.org/10.1016/0045-7949(82)90081-5
  9. Hinton, E. (1976), "A note on a thick finite strip method for the free vibration of laminated plates", Earthquake Engineering, Structural Dynamics, 4, 511-514. https://doi.org/10.1002/eqe.4290040508
  10. Jones, R.M., Morgan, H.S.and Whitney, J.M. (1973), "Buckling and vibration of antisymmetrical laminated angle-ply rectangular plates", Journal of Applied Mechanics, pp.1143-1144.
  11. Putcha, N.S. and Reddy, J.N. (1986), "A refined mixed shear flexible finite element for nonlinear analysis of laminated plates", Computers & Structures, 22(4), pp. 529-538. https://doi.org/10.1016/0045-7949(86)90002-7
  12. Reddy, J.N. (1984), "A simple higher-order theory for laminated composite plates", Journal of Applied Mechanics, 51, pp.745-752. https://doi.org/10.1115/1.3167719
  13. Reddy, J.N.and Phan, N.D. (1985), "Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory", Journal of Sound and Vibration, 98(2), pp. 157-170. https://doi.org/10.1016/0022-460X(85)90383-9

피인용 문헌

  1. Static and free vibration analysis of composite plates using spline finite strips with higher-order shear deformation vol.36, pp.6-7, 2005, https://doi.org/10.1016/j.compositesb.2005.03.001
  2. Stability and vibration analysis of composite plates using spline finite strips with higher-order shear deformation vol.27, pp.1, 2007, https://doi.org/10.12989/sem.2007.27.1.001
  3. Local Buckling of Composite Laminated Plate Assemblies Using the Spline Finite Strip Method vol.3, pp.2, 2000, https://doi.org/10.1260/1369433001502111
  4. Optimum design of laminated composite plates with cutouts using a genetic algorithm vol.42, pp.3, 1998, https://doi.org/10.1016/S0263-8223(98)00072-5
  5. Free vibration analysis of moderately thick rectangular laminated composite plates with arbitrary boundary conditions vol.35, pp.2, 1995, https://doi.org/10.12989/sem.2010.35.2.217
  6. Bubble Complex Finite Strip Method in the Stability and Vibration Analysis of Orthotropic Laminated Composite Plates vol.12, pp.9, 1995, https://doi.org/10.1142/s1758825120501069