Levy type Fourier analysis of thick cross-ply doubly curved panels

Composite Structures

Volumn 80, Issue 4, 2007, Pages 475-488

  Oktem, Ahmet Sinan ^a   Chaudhuri, Reaz A ^b  

^a YILDIZ TECHNICAL UNIVERSITY   (Turkey)

^b UNIVERSITY OF UTAH   (United States)

Author keywords

Analytical solution; Boundary constraints; Boundary discontinuous double Fourier series; Cross ply; Cylindrical shell; Doubly curved panel; Higher order shear deformation theory (HSDT); Spherical shell; Thick laminate

Indexed keywords

BOUNDARY CONDITIONS; DEFLECTION (STRUCTURES); FOURIER SERIES; LAMINATES; PARTIAL DIFFERENTIAL EQUATIONS; SENSITIVITY ANALYSIS; SHEAR DEFORMATION;

CROSS-PLY SHELL ANALYSIS; THICK CROSS-PLY DOUBLY CURVED PANELS;

COMPOSITE STRUCTURES;

DEFORMATION; FOURIER TRANSFORM ANALYSIS; SHEAR PROPERTY;

EID: 33847698215     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2006.05.020     Document Type: Article

References (25)

1. Bert C.W., and Reddy V.S. Cylindrical shells of bimodulus composite materials. ASCE J Eng Mech 108 (1982) 675-688
2. Chaudhuri R.A., Balaraman K., and Kunukkasseril V.X. Arbitrarily laminated anisotropic cylindrical shells under uniform pressure. AIAA J 24 (1986) 1851-1858
3. Chaudhuri R.A., and Kabir H.R.H. A boundary-continuous-displacement based Fourier analysis of laminated doubly-curved panels using classical shallow shell theories. Int J Eng Sci 30 (1992) 1647-1664
4. Chaudhuri R.A., and Abu-Arja K.R. Exact solution of shear-flexible doubly curved anti-symmetric angle-ply shells. Int J Eng Sci 26 (1988) 587-604
5. Chaudhuri R.A., and Abu-Arja K.R. Static analysis of moderately thick anti-symmetric angle-ply cylindrical panels and shells. Int J Solids Struct 28 (1991) 1-16
6. Chaudhuri R.A., and Kabir H.R.H. On analytical solutions to boundary-value problems of doubly-curved moderately-thick orthotropic shells. Int J Eng Sci 27 (1989) 1325-1336
7. Chaudhuri R.A., and Kabir H.R.H. Sensitivity of the response of moderately thick cross-ply doubly-curved panels to lamination and boundary constraint, Part-I: Theory, Part-II: Application. Int J Solids Struct 30 (1992) 273-286
8. Chaudhuri R.A., and Kabir H.R.H. Effect of boundary constraint on the frequency response of moderately thick doubly curved cross-ply panels using mixed Fourier solution functions. J Sound Vib 283 (2005) 263-293
9. Kabir H.R.H., and Chaudhuri R.A. Free vibrations of anti-symmetric angle-ply finite doubly curved shells. Int J Solids Struct 28 (1991) 17-32
10. Kabir H.R.H., and Chaudhuri R.A. On Gibbs-phenomenon-free Fourier solution for finite shear-flexible laminated clamped curved panels. Int J Eng Sci 32 (1994) 501-520
11. Kabir H.R.H., Khaleefi A.M., and Chaudhuri R.A. Frequency response of a moderately thick anti-symmetric cross-ply cylindrical panel with mixed type of Fourier solution functions. J Sound Vib 259 (2003) 809-826
12. Noor A.K., and Burton W.S. Assessment of computational models for multilayered composite shells. Appl Mech Rev 43 (1990) 67-97
13. Seide P., and Chaudhuri R.A. Triangular finite element for analysis of thick laminated shells. Int J Numer Meth Eng 24 (1987) 1563-1579
14. Chaudhuri R.A., and Seide P. An approximate method for prediction of transverse shear stresses in a laminated shell. Int J Solids Struct 23 (1987) 1145-1161
15. Chaudhuri R.A. A semi-analytical approach for prediction of interlaminar shear stresses in laminated general shells. J Solids Struct 26 (1990) 499-510
16. Basset A.B. On the extension and flexure of cylindrical and spherical thin elastic shells. Philos Trans Roy Soc, London, Ser A 181 (1890) 433-480
17. Librescu L., Khdeir A.A., and Frederick D. A shear deformable theory of laminated composite shallow shell-type panels and their response analysis I, free vibration and buckling. Acta Mech 76 (1989) 1-33
18. Chaudhuri R.A., and Kabir H.R.H. Fourier solution to higher-order theory based laminated shell boundary-value problem. AIAA J 33 (1995) 1681-1688
19. Chaudhuri R.A. On boundary-discontinuous double Fourier series solution to a system of completely coupled P.D.E.'s. Int J Eng Sci 27 (1989) 1005-1022
20. Chaudhuri R.A. On the roles of complementary and admissible boundary constraints in Fourier solutions to boundary-value problems of completely coupled rth order P.D.E.'s. J Sound Vib 251 (2002) 261-313
21. Seide P. Small elastic deformations of thin shells (1975), Noordhoff International Publishing, Leyden, The Netherlands
22. Chaudhuri R.A. A degenerate triangular shell element with constant cross-sectional warping. Comput Struct 28 (1988) 315-325
23. Jones R.M. Mechanics of composite materials. 2nd ed. (1999), Taylor and Francis, Philadelphia, PA
24. Oktem AS, Chaudhuri RA. Levy type analysis of cross-ply plates based on higher-order theory. Compos Struct, in press.
25. Abu-Arja K.R., and Chaudhuri R.A. Influence of transverse shear deformation on scaling of cross-ply cylindrical shells. J Compos Mater 23 (1989) 673-694