Large amplitude vibrations of anisotropic cylindrical shells

Computers and Structures

Volumn 82, Issue 23-26, 2004, Pages 2015-2025

  Toorani, M H ^a   Lakis, A A ^b  

^a Nuclear Engineering   (Canada)

^b ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

Anisotropic shells; Non linear; Shear deformations; Vibrations

Indexed keywords

COMPOSITE MATERIALS; ELASTIC MODULI; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; NONLINEAR EQUATIONS; SHEAR DEFORMATION; VIBRATIONS (MECHANICAL);

ANISOTROPIC SHELLS; BORON-EPOXY; KIRCHOFF-LOVE HYPOTHESIS; SHELL THICKNESS;

ANISOTROPY;

EID: 4944252917     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2003.07.007     Document Type: Conference Paper

References (24)

1. Naghdi PM, Nordgren RP. On the non-linear theory of elastic shells under the Kirchhoff hypothesis. Quart Appl Math 1963;21(1):49-59.
2. Sanders JL. Non-linear theories for thin shells. Quart Appl Math 1963;21:21-36.
3. Koiter WT. On the non-linear theory of thin elastic shells. I, II, III. Proc K Ned Akad 1966;69:1-54.
4. Librescu L. Refined geometrically non-linear theories of anisotropic laminated shells. Quart Appl Math 1987;45(1): 1-22.
5. Librescu L, Schmidt R. Geometrically non-linear theories for laminated composite plates treated in the framework for the small strain and moderate rotation concept. Refined dynamical theories of beams, plates and shells and their applications. In: Elishakoff I, Irretier H, editors. Lecture notes in engineering. 1987;28:140-50.
6. Librescu L, Schmidt R. Refined theories of elastic anisotropic shells accounting for small strains and moderate rotations. Int J Non-linear Mech 1988;23(3):217-29.
7. Librescu L. Elastostatics and kinetics of anisotropic and heterogeneous shell-type structures. Leyden, Netherlands: Noordhoff International Publishing; 1975.
8. Ambartsumyan SA. Theory of anisotropic shells. NASA-TT-F-118, 1964.
9. Atluri S. A perturbation analysis of non-linear flexural vibrations of a circular cylindrical shell. Int J Solids Struct 1972;8:549-69.
10. Rotter JM, Jumiski PT. Non-linear strain-displacement relations for axisymmetric thin shells. The University of Sydney: Research Report No. R563, 1988. p. 45.
11. Palazotto AN, Dennis ST. Nonlinear analysis of shell structures. Washington, DC: AIAA; 1992.
12. Dowell EH, Ventres CS. Modal equations for the nonlinear flexural vibrations of a cylindrical shell. Revised and corrected in cooperation with Deman Tang. Duke University School of Engineering, report 98-1, 1998.
13. Evensen DA. Nonlinear vibrations of cylindrical shells -logical rationale. J Fluids Struct 1999;13:161-4.
14. Amabili M, Pellicano F, Païdoussis MP. Nonlinear vibrations of simply supported circular cylindrical shells coupled to quiescent fluid. J Fluids Struct 1998;.12:883-918.
15. Rothert H, Di S. Geometrically nonlinear analysis of laminated shells by hybrid formulation and higher order theory. IASS Bull 1994;35:15-32.
16. Toorani MH, Lakis AA. General equations of anisotropic plates and shells including transverse shear deformations, rotary inertia and initial curvature effects. J Sound Vibr 2000;237(4):561-5.
17. Toorani MH, Lakis AA. Shear deformation theory in dynamic analysis of anisotropic laminated open cylindrical shells filled with or subjected to a flowing fluid. Comput Methods Appl Mech Eng 2001;190:4929-66.
18. Radwan H, Genin J. Non-linear modal equations for thin elastic shells. Int J Non-linear Mech 1975;10:15-29.
19. Toorani MH, Lakis AA. Geometrically non-linear dynamics of anisotropic open cylindrical shells with a refined shell theory. Technical Report, EPM-RT-01-07. Polytechnique Montreal, Canada, 2002.
20. Sciuva MD, Carrera E. Elastodynamic behaviour of relatively thick symmetrically laminated anisotropic circular cylindrical shells. Trans ASME 1992;59:222-4.
21. Amabili M. Flexural vibration of cylindrical shells partially coupled with external and internal fluids. J Vibr Acoust 1997;119(3):476-84.
22. Lindholm U, Chu WH, Kana DD, Abramson NH. Bending vibrations of a circular cylindrical shell with an internal liquid having a free surface. J AIAA 1963;1(9): 2-27.
23. Nowinski JL. Non-linear transverse vibrations of orthotropic cylindrical shells. J AIAA 1963;1:617-20.
24. Raju KK, Rao GV. Large amplitude asymmetric vibrations of some thin elastic shells of revolution. J Sound Vibr 1976;44:327-33.