Nonlinear dynamic response of laminated shells with imperfections in hygrothermal environments

Journal of Composite Materials

Volumn 45, Issue 20, 2011, Pages 2103-2112

  Nanda, Namita ^a   Pradyumna, S ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

finite element method; free vibration; geometric nonlinearity; imperfection; shell; transient response

Indexed keywords

ACCELERATION METHOD; DIRECT ITERATION; EIGENVALUE PROBLEM; FIRST-ORDER SHEAR DEFORMATION THEORY; FREE VIBRATION; GEOMETRIC NONLINEARITY; HYGROTHERMAL ENVIRONMENT; IMPERFECTION; ISOPARAMETRIC ELEMENT; LAMINATED COMPOSITE SHELL; LAMINATED SHELL; NEWTON RAPHSON ITERATION; NON-LINEAR FREE VIBRATION; NONLINEAR DYNAMIC RESPONSE; NONLINEAR KINEMATICS; SHELL; SPHERICAL SHELL; THEORETICAL FORMULATION; TIME INTEGRATION;

DYNAMIC RESPONSE; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; LAMINATED COMPOSITES; LAMINATING; PLATES (STRUCTURAL COMPONENTS); SHEAR DEFORMATION; SHELLS (STRUCTURES); TRANSIENT ANALYSIS; VIBRATION ANALYSIS;

NONLINEAR EQUATIONS;

EID: 80052779268     PISSN: 00219983     EISSN: 1530793X     Source Type: Journal    
DOI: 10.1177/0021998311401061     Document Type: Article

References (39)

1. Whitney JM and Ashton JE Effect of environment on the elastic response of layered composite plates. AIAA J 1971 ; 9: 1708-1713.
2. Sai Ram KS and Sinha PK Hygrothermal effects on the free vibration of laminated composite plates. J Sound Vib 1992 ; 158: 133-148. (Pubitemid 23579984)
3. Parhi PK, Bhattacharyya SK and Sinha PK Hygrothermal effects on the dynamic behavior of multiple delaminated composite plates and shells. J Sound Vib 2001 ; 248: 195-214. (Pubitemid 33112647)
4. Patel BP, Ganapathi M. and Makhecha DP Hygrothermal effects on the structural behavior of thick composite laminates using higher order theory. Compos Struct 2002 ; 56: 25-34. (Pubitemid 34268179)
5. Khare RK, Kant T. and Garg AK Closed-form thermomechanical solutions of higher order theories of cross ply laminated shallow shells. Compos Struct 2003 ; 59: 313-340. (Pubitemid 41167833)
6. Nowinski JL Nonlinear transverse vibrations of orthotropic cylindrical shells. AIAA J 1963 ; 3: 617-620.
7. Chia CY and Chia DS Nonlinear vibration of moderately thick anti-symmetric angle-ply shallow spherical shell. Comput Struct 1992 ; 44: 797-805.
8. Sathyamoorthy M. Nonlinear vibration of moderately thick orthotropic shallow spherical shells. Comput Struct 1995 ; 57: 59-65.
9. Ganapathi M. and Varadan TK Nonlinear free flexural vibrations of laminated circular cylindrical shells. Compos Struct 1995 ; 30: 33-49.
10. Shin DK Large amplitude free vibration behavior of doubly curved shallow open shells with simply supported edges. Comput Struct 1997 ; 62: 35-49. (Pubitemid 127415314)
11. Nanda N. and Bandyopadhyay JN Nonlinear free vibration analysis of laminated composite cylindrical shells with cutouts. J Reinf Plast Compos 2007 ; 26: 1413-1427. (Pubitemid 47384659)
12. Kobayashi Y. and Leissa AW Large amplitude free vibration of thick shallow shells supported by shear diaphragms. Int J NonLinear Mech 1995 ; 30: 57-66.
13. Nath Y. and Alwar RS Nonlinear static and dynamic response of spherical shells. Int J NonLinear Mech 1978 ; 13: 157-170. (Pubitemid 9404972)
14. Reddy JN and Chandrashekhara K. Geometrically nonlinear transient analysis of laminated doubly curved shells. Int J NonLinear Mech 1985 ; 20: 79-90. (Pubitemid 15493367)
15. Wu YC, Yang TY and Saigal S. Free and forced nonlinear dynamics of composite shell structures. J Compos Mater 1987 ; 21: 898-909. (Pubitemid 18551002)
16. Ganapathi M. and Varadan TK Application of a field-consistent shear flexible element for nonlinear dynamic analysis of laminated shells. Finite Elem Anal Des 1992 ; 12: 105-116. (Pubitemid 23570436)
17. Kant T. and Kommineni JR Geometrically nonlinear transient analysis of laminated composite and sandwich shells with a refined theory and C0 finite elements. Comput Struct 1994 ; 52: 1243-1259.
18. To CWS and Wang B. Transient responses of geometrically nonlinear laminated composite shell structures. Finite Elem Anal Des 1998 ; 31: 117-134. (Pubitemid 128429365)
19. Nanda N. and Bandyopadhyay JN Nonlinear transient response of laminated composite shells. J Eng Mech (ASCE) 2008 ; 134: 983-990.
20. Nanda N. and Bandyopadhyay JN Geometrically nonlinear transient analysis of laminated composite shells using the finite element method. J Sound Vib 2009 ; 325: 174-185.
21. Huang NN and Tauchert TR Large deformations of laminated cylindrical and doubly curved panels under thermal loading. Comput Struct 1991 ; 41: 303-312. (Pubitemid 21717786)
22. Ganapathi M., Patel BP and Makhecha DP Nonlinear dynamic analysis of thick composite/sandwich laminates using an accurate higher order theory. Composites Part B 2004 ; 35: 345-355.
23. Huang XL, Shen H-S. and Zheng JJ Nonlinear vibration and dynamic response of shear deformable laminated plates in hygrothermal environments. Compos Sci Technol 2004 ; 64: 1419-1435. (Pubitemid 38673511)
24. Naidu NVS and Sinha PK Nonlinear transient analysis of laminated composite shells in hygrothermal environments. Compos Struct 2006 ; 72: 280-288. (Pubitemid 43115475)
25. Naidu NVS and Sinha PK Nonlinear free vibration analysis of laminated composite shells in hygrothermal environments. Compos Struct 2007 ; 77: 475-483. (Pubitemid 44689022)
26. Ribeiro P. and Jansen E. Nonlinear vibrations of laminated cylindrical shallow shells under thermomechanical loading. J Sound Vib 2008 ; 315: 626-640.
27. Saigal S., Kapania RK and Yang TY Geometrically nonlinear finite element analysis of imperfect laminated shells. J Compos Mater 1986 ; 20: 197-214. (Pubitemid 16522716)
28. Byun C. and Kapania RK Nonlinear impact response of thin imperfect laminated plates using a reduction method. Compos Eng 1992 ; 2: 391-410.
29. Kapania RK and Stoumbos TJG. Geometrically nonlinear impact response of thin laminated imperfect cylindrical panels. Compos Eng 1994 ; 4: 397-416.
30. Byun C. and Kapania RK Nonlinear transient response of imperfect hyperbolic shells using a reduction method. Comput Struct 1992 ; 44: 255-262. (Pubitemid 23557045)
31. Louca LA and Harding JE Nonlinear analysis of imperfect plates under transient lateral pressure loading. Comput Struct 1997 ; 63: 27-37. (Pubitemid 127368373)
32. Librescu L. and Lin W. Vibration of thermomechanically loaded flat and curved panels taking into account geometric imperfections and tangential edge restraints. Int J Solids Struct 34: 2161-2181.
33. Amabili M. Theory and experiments for large amplitude vibrations of circular cylindrical panels with geometric imperfections. J Sound Vib 2006 ; 298: 43-72. (Pubitemid 44301227)
34. Camier C., Touze C. and Thomas O. Nonlinear vibrations of imperfect free-edge circular plates and shells. Eur J Mech A Solids 2009 ; 28: 500-515.
35. Reddy JN Bending of laminated anisotropic shells by a shear deformable finite element. Fiber Sci Technol 1982 ; 17: 9-24.
36. Bert CW and Kumar M. Vibration of cylindrical shells of bimodulus composite materials. J Sound Vib 1982 ; 81: 107-121. (Pubitemid 12524507)
37. Kitipornchai S., Yang J. and Liew KM Semi-analytical solution for laminated FGM plates with geometric imperfections. Int J Solids Struct 2004 ; 41: 2235-2257. (Pubitemid 38439320)
38. Rajasekaran S. and Murray DW Incremental finite element matrices. J Struct Div (ASCE) 1973 ; 99: 2423-2438.
39. Liu CF and Huang CH Free vibration of composite laminated plates subjected to temperature changes. Comput Struct 1996 ; 60: 95-101.