Large deformation analysis of moderately thick laminated plates on nonlinear elastic foundations by DQM

Composite Structures

Volumn 80, Issue 4, 2007, Pages 569-579

  Malekzadeh, P ^a   Setoodeh, A R ^b  

^a PERSIAN GULF UNIVERSITY   (Iran)

^b FERDOWSI UNIVERSITY OF MASHHAD   (Iran)

Author keywords

Differential quadrature method; Elastic foundations; Laminated plates; Large deformation

Indexed keywords

ALGEBRA; BOUNDARY CONDITIONS; GREEN'S FUNCTION; LAMINATED COMPOSITES; NONLINEAR EQUATIONS; SHEAR DEFORMATION;

DIFFERENTIAL QUADRATURE METHOD (DQM); ELASTIC FOUNDATION; FIRST-ORDER SHEAR DEFORMATION THEORY (FSDT); LAMINATED PLATES;

COMPOSITE STRUCTURES;

DEFORMATION; ELASTIC PROPERTY; FIBER ORIENTATION; FIBER REINFORCED COMPOSITE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; SHEAR PROPERTY; STRAIN; THICKNESS;

EID: 33847617933     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2006.07.004     Document Type: Article

References (34)

1. Yang T.Y. A finite element analysis of plates on a two parameter foundation model. Comput Struct 2 (1972) 593-614
2. Qin Q.H., and Diao S. Nonlinear analysis of thick plates on an elastic foundation by HTFE with p-extension capabilities. Int J Solids Struct 33 (1996) 4583-4604
3. Dumir P.C., and Bhaskar A. Nonlinear static analysis of rectangular plates on elastic foundations by the orthogonal point collocation method. Comp Meth Appl Mech Eng 67 (1988) 111-124
4. Shen H.S. Nonlinear bending of Reissner-Mindlin plates with free edges under transverse and in-plane loads and resting on elastic foundations. Int J Mech Sci 41 (1999) 845-864
5. Shen H.S. Nonlinear bending of simply supported rectangular Reissner-Mindlin plates under transverse and in-plane loads and resting on elastic foundations. Eng Struct 22 (2000) 847-856
6. Shen H.S. Nonlinear analysis of simply supported Reissner-Mindlin plates subjected to lateral pressure and thermal loading and resting on two-parameter elastic foundations. Eng Struct 22 (2000) 1481-1493
7. Shen H.S., and Yu L. Nonlinear bending behavior of Reissner-Mindlin plates with free edges resting on tensionless elastic foundations. Int J Solids Struct 41 (2004) 4809-4825
8. Shen H.S. Large deflection of composite laminated plates under transverse and in-plane loads and resting on elastic foundations. Compos Struct 45 (1999) 115-123
9. Shen H.S. Nonlinear analysis of composite laminated thin plates subjected to lateral pressure and thermal loading and resting on elastic foundations. Compos Struct 49 (2000) 115-128
10. Shen H.S. Nonlinear bending of shear deformable laminated under transverse and in-plane loads and resting on elastic foundations. Compos Struct 50 (2000) 131-142
11. Renganathan K., Rao N., and Manoj T. Moderately large deflection of laminated thin rectangular plates. ZAMM 5 (2002) 352-360
12. Nath Y., Prithviraju M., and Mufti A.A. Nonlinear statics and dynamics of antisymmetric composite laminated square plates supported on nonlinear elastic subgrade. Comm Nonlin Sci Numer Simul 11 (2006) 340-354
13. Bert C.W., Jang S.K., and Striz A.G. Two new approximate methods for analyzing free vibration of structural components. AIAA J 26 (1988) 612-618
14. Bert C.W., and Malik M. Differential quadrature method in computational mechanics: a review. Appl Mech Rev 49 (1996) 1-27
15. Karami G., and Malekzadeh P. Static and stability analysis of arbitrary straight-sided quadrilateral thin plates by DQM. Int J Solids Struct 39 (2002) 4927-4947
16. Karami G., and Malekzadeh P. Application of a new differential quadrature methodology for free vibration analysis of plates. Int J Numer Meth Eng 56 (2003) 847-867
17. Karami G., Shahpari S.A., and Malekzadeh P. DQM analysis of skewed and trapezoidal laminated plates. Compos Struct 59 (2003) 391-400
18. Malekzadeh P., Karami G., and Farid M. A SADQEM for vibration analysis of thick plates with two opposite edges simply supported. Comput Meth Appl Mech Eng 193 (2004) 4781-4796
19. Karami G., Malekzadeh P., and Mohebpour S.R. DQM free vibration analysis of moderately thick symmetric laminated plates with elastically restrained edges. Compos Struct 74 (2006) 115-125
20. Malekzadeh P, Farid M. A DQ large deformation analysis of composite plates on nonlinear elastic foundations. Compos Struct, in press, doi:10.1016/j.compstruct.2006.01.004.
21. Malekzadeh P., and Karami G. Differential quadrature nonlinear analysis of skew composite plates based on FSDT. Eng Struct 28 (2006) 1307-1318
22. Striz A.G., Jang S.K., and Bert C.W. Nonlinear bending analysis of thin circular by differential quadrature. Thin-Walled Struct 6 (1988) 51-62
23. Bert C.W., Jang S.K., and Striz A.G. Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature. Comp Mech 5 (1989) 217-226
24. Lin R.M., Lim K.M., and Du H. Large deformation analysis of plates under thermal loading. Comput Meth Appl Mech Eng 117 (1994) 381-390
25. Chen W., Shu C., He W., and Zhong T. The application of special matrix product to differential quadrature solution of geometrically nonlinear bending of orthotropic rectangular plates. Comput Struct 74 (2000) 65-76
26. Li J.J., and Cheng C.J. Differential quadrature method for nonlinear free vibration of orthotropic plates with finite deformation and transverse shear effect. J Sound Vibr 281 (2005) 295-309
27. Reddy J.N. Mechanics of laminated composite plates theory and analysis (1997), CRC Press, Boca Raton
28. In: Turvey G.J., and Marshall I.H. (Eds). Buckling and postbuckling of composite plates (1993), Chapman & Hall, London 396pp, ISBN 0-142-59120-0
29. Pica A., Wood R.D., and Hinton E. Finite element analysis of geometrically nonlinear plate behavior using a Mindlin formulation. Comput Struct 11 (1980) 203-215
30. Zhang Y.X., and Kim K.S. Geometrically nonlinear analysis of laminated composite plates by two new displacement-based quadrilateral plate elements. Compos Struct 72 (2006) 301-310
31. 0 finite element geometrically non-linear analysis of fiber reinforced composite and sandwich laminated based on higher-order theory. Comput Struct 45 (1992) 511-522
32. Akhras G., Cheung M.S., and Li W. Geometrically nonlinear finite strip analysis of laminated composite plates. Composites B 29 (1998) 489-495
33. Shukla K.K., and Nath Y. Non-linear analysis of moderately thick laminated rectangular plates. J Eng Mech 26 (2000) 831-838
34. Shu C., and Richards B.E. Application of generalized differential quadrature to solve two-dimensional incompressible Navier Stokes equations. Int J Numer Meth Fluids 15 (1992) 791-798