Influences of elastic foundations and boundary conditions on the buckling of laminated shell structures subjected to combined loads

Composite Structures

Volumn 93, Issue 8, 2011, Pages 2126-2134

  Sofiyev, A H ^a  

^a SULEYMAN DEMIREL UNIVERSITY   (Turkey)

Author keywords

Boundary conditions; Buckling; Combined loads; Elastic foundations; Laminated shells

Indexed keywords

BIOLOGICAL ORGANS; BOUNDARY CONDITIONS; BUCKLING; FOUNDATIONS; GALERKIN METHODS; LAMINATING;

COMBINED LOADS; COMPATIBILITY EQUATION; DIFFERENT BOUNDARY CONDITION; ELASTIC FOUNDATION; ISOTROPIC MATERIALS; LAMINATED CYLINDRICAL SHELLS; LAMINATED SHELL; TRUNCATED CONICAL SHELL;

SHELLS (STRUCTURES);

EID: 80052291008     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2011.01.023     Document Type: Article

References (39)

1. Han B, Simitses GJ. Analysis of anisotropic laminated cylindrical shells subjected to destabilizing loads, part II. Numerical results. Compos Struct 1991;19:183-205.
2. Wang H, Wang TK. Stability of laminated composite circular conical shells under external pressure. J Appl Math Mech Engl Ed 1991;12:1153-61.
3. Tong L, Wang TK. Simply solutions for buckling of laminated conical shells. Int J Mech Sci 1992;34:93-111.
4. Lam KY, Loy CT. Effect of boundary conditions on frequencies of a multilayered cylindrical shell. J Sound Vib 1995;188:363-84.
5. Tong L. Buckling of filament-wound laminated conical shells. AIAA J 1999;37:778-81.
6. Shen HS, Li QS. Postbuckling of cross-ply laminated cylindrical shells with piezoelectric actuators under complex loading conditions. Int J Mech Sci 2002;44:1731-54.
7. Correia IFP, Soares CMM, Soares CAJ, Herskovits J. Analysis of laminated conical shell structures using higher order models. Compos Struct 2003;62:383-90.
8. Ng TY, Li H, Lam KY. Generalized differential quadrature for free vibration of rotating composite laminated conical shell with various boundary conditions. Int J Mech Sci 2003;45:567-87.
9. Sofiyev AH, Schnack E. The buckling of cross-ply laminated non-homogeneous orthotropic composite conical thin shells under a dynamic external pressure. Acta Mech 2003;162:29-40.
10. Heuer R, Ziegler F. Thermoelastic stability of layered shallow shells. Int J Solid Struct 2004;41:2111-20.
11. Li SR, Batra RC. Buckling of a laminated cylindrical shell with functionally graded middle layer under axial compressive load. Proceedings of the international conference on mechanical engineering and mechanics, Nanjing, China 2005;1-2:796-800.
12. Li SR, Batra RC. Buckling of axially compressed thin cylindrical shells with functionally graded middle layer. Thin-Walled Struct 2006;44:1039-47.
13. Shen HS. Boundary layer theory for the buckling and postbuckling of an anisotropic laminated cylindrical shell, part I: prediction under axial compression. Compos Struct 2008;82:346-61.
14. Goldfeld Y. An alternative formulation in linear bifurcation analysis of laminated shells. Thin-Walled Struct 2009;47:44-52.
15. Sofiyev AH, Kuruoǧlu N, Isayev FG. On the solution of eigenvalue problems of laminated non-homogeneous orthotropic circular shells with clamped edges subjected to hydrostatic pressure. Acta Mech 2010;212:93-114.
16. Li ZM, Lin ZQ. Non-linear buckling and postbuckling of shear deformable anisotropic laminated cylindrical shell subjected to varying external pressure loads. Compos Struct 2010;92:553-67.
17. Reddy JN. Mechanics of laminated composite plates and shells theory and analysis. CRC Press; 2004.
18. Pasternak PL. On a new method of analysis of an elastic foundation by means of two foundation constants. Russia: Gos Izd Lit po Stroit I Arkh Moscow; 1954.
19. Kerr AD. Elastic and visco-elastic foundation models. J Appl Mech 1964;31:491-8.
20. Gorbunov-Possadov MI, Malikova TA, Solomin VI. Design of structures on elastic foundation. Russia: Gos Izd Lit po Stroit I Arkh Moscow 1984.
21. Bajenov VA. The bending of the cylindrical shells in elastic medium. Kiev: Visha Shkola 1975 [in Russian].
22. Ng TY, Lam KY. Effects of elastic foundation on the dynamic stability of cylindrical shells. Int J Struct Eng Mech 1999;8:193-205.
23. Naili S, Oddou C. Buckling of short cylindrical shell surrounded by an elastic medium. J Appl Mech ASME 2000;67:212-4.
24. Paliwal DN, Pandey RK. Free vibrations of an orthotropic thin cylindrical shell on a Pasternak foundation. AIAA J 2001;39:2188-91.
25. Fok SL. Analysis of the buckling of long cylindrical shells embedded in an elastic medium using the energy method. J Strain Anal Eng Des 2002;37:375-83.
26. Gunawan H, Sato M, Kanie S, Mikami T. Static and free vibration analysis of cylindrical shells on elastic foundation. J Struct Eng JSCE 2004;50A:25-34.
27. Sheng GG, Wang X. Thermal vibration, buckling and dynamic stability of functionally graded cylindrical shells embedded in an elastic medium. J Reinf Plast Compos 2008;27:117-34.
28. Nie HG, Chan KC, Yao JC, He XQ. Asymptotic solution for non-linear buckling of orthotropic shells on elastic foundation. AIAA J 2009;47:1772-82.
29. Shen HS, Yang J, Kitipornchai S. Postbuckling of internal pressure loaded FGM cylindrical shells surrounded by an elastic medium. Eur J Mech Solid 2010;29:448-60.
30. Gazizov BG, Zaynashev AM. On the stability of truncated conical shells on an elastic foundation beyond the elasticity limit. Research on the theory of plates and shells, vol. 10.Kazan: Kazan State University; 1973. p. 195-201 [in Russian].
31. Sun B, Huang Y. The exact solution for the general bending problems of conical shells on the elastic foundation. Appl Math Mech 1988;9:455-69.
32. Sofiyev AH, Schnack E, Korkmaz A. The vibration analysis of simply supported FGM truncated conical shells resting on two-parameter elastic foundations. In: IRF'2009 - 3rd International conference on integrity, reliability and failure, Porto, Portugal; 2009. p. 277-8.
33. Sofiyev AH. Buckling analysis of FGM circular shells under combined loads and resting on the Pasternak type elastic foundation. Mech Res Commun 2010;37:539-44.
34. Vasilenko AT, Bespalova EI, Urusova GP. Contact interaction between a laminated shell of revolution and a rigid or elastic foundation. Int Appl Mech 2005;41:520-5.
35. Shen HS. Post-buckling of internal-pressure-loaded laminated cylindrical shells surrounded by an elastic medium. J Strain Anal Eng Des 2009;44:439-58.
36. Aganesov LG, Sachenkov AV. The stability and vibration of circular conical and cylindrical shells at different boundary conditions. Research on the theory of plates and shells, vol. 2. Kazan: Kazan State University; 1964. p. 111-126 [in Russian].
37. Sofiyev AH. The vibration and stability behavior of simply supported FGM conical shells subjected to external pressure. Compos Struct 2009;89:356-66.
38. Singer J, Baruch M, Reichenthal J. Influence of in plane boundary conditions on the buckling of clamped conical shells. Israel J Technol 1971;9:127-39.
39. Baruch M, Harari O, Singer J. Influence of in-plane boundary conditions on the stability of conical shells under hydrostatic pressure. Israel J Technol 1967;5:12-24.