Boundary layer theory for the nonlinear vibration of anisotropic laminated cylindrical shells

Composite Structures

Volumn 97, Issue , 2013, Pages 338-352

  Shen, Hui Shen ^a,b  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b Shanghai Jiao Tong University   (China)

Author keywords

Anisotropic cylindrical shell; Boundary layer theory; Functionally graded materials; Nonlinear vibration; Pasternak elastic foundation; Temperature dependent properties

Indexed keywords

ANISOTROPIC CYLINDRICAL SHELLS; BOUNDARY LAYER THEORY; NON-LINEAR VIBRATIONS; PASTERNAK ELASTIC FOUNDATIONS; TEMPERATURE-DEPENDENT PROPERTIES;

ANISOTROPY; BEAMS AND GIRDERS; BOUNDARY LAYERS; CYLINDERS (SHAPES); EQUATIONS OF MOTION; FUNCTIONALLY GRADED MATERIALS; LAMINATED COMPOSITES; LAMINATING; PERTURBATION TECHNIQUES; REINFORCEMENT; THERMAL EFFECTS; VIBRATION ANALYSIS;

SHELLS (STRUCTURES);

EID: 84871483047     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2012.10.027     Document Type: Article

References (37)

1. Jones R.M., Morgan H.S. Buckling and vibration of cross-ply laminated circular cylindrical shells. AIAA J 1975, 13:664-671.
2. Khdeir A.A., Reddy J.N., Frederick D. A study of bending, vibration and buckling of cross-ply circular cylindrical shells with various shell theories. Int J Eng Sci 1989, 27:1337-1351.
3. Lakis A.A., Selmane S., Toledano A. Non-linear free vibration analysis of laminated orthotropic cylindrical shells. Int J Mech Sci 1998, 40:27-49.
4. Lam K.Y., Ng T.Y., Qian W. Vibration analysis of thick laminated composite cylindrical shells. AIAA J 2000, 38:1102-1107.
5. Matsunaga H. Vibration and buckling of cross-ply laminated composite circular cylindrical shells according to a global higher-order theory. Int J Mech Sci 2007, 49:1060-1075.
6. Bert C.W., Baker J.L., Egle D.M. Free vibrations of multilayer anisotropic cylindrical shells. J Compos Mater 1969, 3:480-499.
7. Toorani M.H., Lakis A.A. Large amplitude vibrations of anisotropic cylindrical shells. Comput Struct 2004, 82:2015-2025.
8. Jansen E.L. A comparison of analytical-numerical models for nonlinear vibrations of cylindrical shells. Comput Struct 2004, 82:2647-2658.
9. Jansen E.L. The effect of geometric imperfections on the vibrations of anisotropic cylindrical shells. Thin-Walled Struct 2007, 45:274-282.
10. Jansen E.L. A perturbation method for nonlinear vibrations of imperfect structures: application to cylindrical shell vibrations. Int J Solids Struct 2008, 45:1124-1145.
11. Shao Z.S., Ma G.W. Free vibration analysis of laminated cylindrical shells by using Fourier series expansion method. J Thermoplast Compos Mater 2007, 20:551-573.
12. Yas M.H., Shakeri M., Khaksar N. Stacking sequence optimization of a composite cylindrical shell for vibrations by hybrid continuous optimization. Proc IME Part C J Mech Eng Sci 2008, 222:2385-2394.
13. Khot NS, Venkayya VB. Effect of fiber orientation on initial postbuckling behavior and imperfection sensitivity of composite cylindrical shells. AFFL-TP-70-125, Wright- Patterson AFB, OH; June 1970.
14. Lam K.Y., Qian W. Free vibration of symmetric angle-ply thick laminated composite cylindrical shells. Composites Part B 2000, 31:345-354.
15. Timarci T., Soldatos K.P. Vibrations of angle-ply laminated circular cylindrical shells subjected to different sets of edge boundary conditions. J Eng Math 2000, 37:211-230.
16. Alibeigloo A. Static and vibration analysis of axi-symmetric angle-ply laminated cylindrical shell using state space differential quadrature method. Int J Press Ves Pip 2009, 86:738-747.
17. Viswanathan K.K., Lee J.H., Aziz Z.A., Hossain I. Free vibration of symmetric angle-ply laminated cylindrical shells of variable thickness. Acta Mech 2011, 221:309-319.
18. Shen H.-S. Boundary layer theory for the buckling and postbuckling of an anisotropic laminated cylindrical shell, Part I: prediction under axial compression. Compos Struct 2008, 82:346-361.
19. Shen H.-S. Boundary layer theory for the buckling and postbuckling of an anisotropic laminated cylindrical shell, Part II: prediction under external pressure. Compos Struct 2008, 82:362-370.
20. Shen H.-S. Boundary layer theory for the buckling and postbuckling of an anisotropic laminated cylindrical shell, Part III: prediction under torsion. Compos Struct 2008, 82:371-381.
21. Shen H.-S. Thermal postbuckling behavior of anisotropic laminated cylindrical shells with temperature-dependent properties. AIAA J 2008, 46:185-193.
22. Shen H.-S., Yang J., Zhang L. Free and forced vibration of Reissner-Mindlin plates with free edges resting on elastic foundations. J Sound Vib 2001, 244:299-320.
23. Shen H.-S. Nonlinear vibration of shear deformable FGM cylindrical shells surrounded by an elastic medium. Compos Struct 2012, 94:1144-1154.
24. Reddy J.N., Liu C.F. A higher-order shear deformation theory of laminated elastic shells. Int J Eng Sci 1985, 23:319-330.
25. Shen H.-S. Postbuckling of functionally graded fiber reinforced composite laminated cylindrical shells, Part I: theory and solutions. Compos Struct 2012, 94:1305-1321.
26. Shen H.-S. Postbuckling of functionally graded fiber reinforced composite laminated cylindrical shells, Part II: numerical results. Compos Struct 2012, 94:1322-1332.
27. Shen H.-S. Post-buckling analysis of imperfect stiffened laminated cylindrical shells under combined external pressure and axial compression. Comput Struct 1997, 63:335-348.
28. Shen H.-S., Li Q.S. Thermomechanical postbuckling of shear deformable laminated cylindrical shells with local geometric imperfections. Int J Solids Struct 2002, 39:4525-4542.
29. Shen H.-S. Postbuckling of laminated cylindrical shells with piezoelectric actuators under combined external pressure and heating. Int J Solids Struct 2002, 39:4271-4289.
30. Shen H.-S., Xiang Y. Nonlinear vibration of nanotube-reinforced composite cylindrical shells in thermal environments. Comput Methods Appl Mech Eng 2012, 213-216:196-205.
31. Shen H.-S. Kármán-type equations for a higher-order shear deformation plate theory and its use in the thermal postbuckling analysis. Appl Math Mech 1997, 18:1137-1152.
32. Bowles D.E., Tompkins S.S. Prediction of coefficients of thermal expansion for unidirectional composite. J Compos Mater 1989, 23:370-381.
33. Reed R.P. Aluminum 2. A review of deformation properties of high purity aluminum and dilute aluminum alloys. Cryogenics 1972, 12:259-291.
34. Shen Y.-L. Thermal expansion of metal-ceramic composites: a three-dimensional analysis. Mater Sci Eng A 1998, 252:269-275.
35. Egle DM, Bray FM. An experimental study of the free vibration of cylindrical shells with discrete longitudinal stiffening. School of Aerospace and Mechanical Engineering, University of Oklahoma, Final Report, National Science Foundation Grant GK-1490; November 1968.
36. Nowinski J.L. Nonlinear transverse vibrations of orthotropic cylindrical shells. AIAA J 1963, 1:617-620.
37. Sofiyev A.H., Aksogan O. Non-linear free vibration analysis of laminated non-homogeneous orthotropic cylindrical shells. Proc IME Part K: J Multi-body Dyn 2003, 217:293-300.