Steel and Composite Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Buckling analysis of composite plates using differential quadrature method (DQM)

  • Darvizeh, M. (Faculty of Mechanical Engineering, Guilan University) ;
  • Darvizeh, A. (Faculty of Mechanical Engineering, Guilan University) ;
  • Sharma, C.B. (Department of Mathmatics, UMIST)
  • Received : 2001.03.05
  • Accepted : 2002.02.22
  • Published : 2002.04.25
⟨ Previous Next ⟩

Abstract

The differential quadrature method (DQM) is a numerical technique of rather recent origin, which by its continually increasing applications in different problems of engineering, is a competing alternative to the conventional numerical techniques for the solution of initial and boundary value problems. The work of this paper concerns the application of the DQM in the area of the buckling of multi layered orthotropic composite plates with various boundary conditions the buckling of multi layered composite plates with constant and variable thickness under axial compressive static loading is considered. The effects of fiber orientation and boundary conditions on static behavior of composite plates are presented. The comparison of results from the present method and those obtained from NISA II software shows the accuracy and reliability of this method.

Keywords

References

  1. Bellman, R. and Casti, J. (1971), "Differential quadrature and long term integration", J. Mathematical Analysis and Applications, 34, 235-338. https://doi.org/10.1016/0022-247X(71)90110-7
  2. Bellman, R. Kashef, B.G and Casti, J. (1972), "Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations", J. Computational Physics, 10, 40-52. https://doi.org/10.1016/0021-9991(72)90089-7
  3. Bert, C.W, Jang, S.K and Striz, A.G. (1988), "Two new approximate method for analyzing free vibration of structural components", AIAA. J., 26, 612-618. https://doi.org/10.2514/3.9941
  4. Bert, C.W. and Moinuddin, M. (1996), "Semi-analytical differential quadrature solution for free vibration analysis of rectangular plates", AIAA. J., 34(3), 601-606. https://doi.org/10.2514/3.13110
  5. Loy, C.T, Lam, K.Y. and Shu, C. (1999), "Analysis of cylindrical shells using generalized differential quadrature", J. Shock and Vibration, 4(3), 193-198.
  6. Jang, S.K, Bert, C,W. and Striz, A.G. (1989), "Application of quadrature to static analysis of structural components", Int. J. Num. Meth. Eng., 28, 561-577. https://doi.org/10.1002/nme.1620280306
  7. Malik, M and Civan, F. (1995), "A comprative study of differential quadrature and cubratue methods, some conventional techniques of convection-diffusion-reaction problems", Chemical Engineering, 50, 531-547. https://doi.org/10.1016/0009-2509(94)00223-E
  8. Mingle, J.O. (1973), "Computational consideration in nonlinear equations", Int. J. Num. Meth. Eng., 7, 116
  9. Moradi, S. and Taheri, F. (1999), "Application of differential quadrature method to the delamination buckling of composite plates", J. Computers and Structures, 70, 615-623. https://doi.org/10.1016/S0045-7949(98)00200-4
  10. Sharma, C.B, Darvizeh, M and Darvizeh, A. (1999), "Free vibration behavior of helically wound cylindrical shells", J. Composite Struct., 44, 55-62. https://doi.org/10.1016/S0263-8223(98)00120-2
  11. Wittrick, W.H and Ellen, C.H. (1962), "Buckling of tapered rectangular plates in compression", Aero Quart, 308-326.
  12. Abrate, S. (1999), Impact An Composite Structures, Cambridge university press.

Cited by

  1. Dynamic analysis of composite cylindrical shells using differential quadrature method (DQM) vol.78, pp.2, 2007, https://doi.org/10.1016/j.compstruct.2005.10.003
  2. Buckling of symmetrically laminated quasi-isotropic thin rectangular plates vol.17, pp.3, 2014, https://doi.org/10.12989/scs.2014.17.3.305
  3. Experimental and finite element studies on buckling of skew plates under uniaxial compression vol.22, pp.3, 2015, https://doi.org/10.1515/secm-2013-0153
  4. Experimental and finite element studies on buckling of skew plates under uniaxial compression vol.22, pp.3, 2015, https://doi.org/10.1515/secm-2013-0153
  5. Shear buckling analysis of laminated plates on tensionless elastic foundations vol.24, pp.6, 2002, https://doi.org/10.12989/scs.2017.24.6.697
  6. A coupled Ritz-finite element method for free vibration of rectangular thin and thick plates with general boundary conditions vol.28, pp.6, 2018, https://doi.org/10.12989/scs.2018.28.6.655