Stiffened Cylindrical Shell with Cutout
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Abstract
Cylindrical shell panels made of laminated composites with cutout are investigated for free vibration behaviour. Finite element model is used for studying the dynamic behaviour of stiffened shells using eight-noded curved quadratic isoparametric element for shell and a three-noded beam element for stiffener. Size of the cutouts and their positions with respect to the shell centre are varied for different laminations and edge constraints. The results presented in the form of figures and tables are analysed to suggest guidelines for selection of optimum size and position of the cutout with respect to shell centre considering different laminations and practical boundary conditions.
Keywords
Cylindrical shell Cutout Eccentricity Fundamental frequency Mode shapesReferences
- Arnold RN, Warburton GB (1949) Flexural vibrations of the walls of thin cylindrical shell having freely supported ends. Proc R Soc Lond A 197:238–256CrossRefMATHGoogle Scholar
- Arnold RN, Warburton GB (1953) The flexural vibration of thin cylinders. Proc Inst Mech Eng A 167:62–80CrossRefGoogle Scholar
- Chakravorty D, Sinha PK, Bandyopadhyay JN (1998) Applications of FEM on free and forced vibration of laminated shells. ASCE J Eng Mech 124(1):1–8CrossRefGoogle Scholar
- Chung H (1981) Free vibration analysis of cylindrical shells. J Sound Vib 74(3):331–350CrossRefMATHGoogle Scholar
- Dennis ST, Palazotto AN (1990) Static response of a cylindrical composite panel with cutouts using geometrically nonlinear theory. AIAA J 28(6):1082–1088CrossRefMATHGoogle Scholar
- Lam KY, Loy CT (1995a) Effect of boundary conditions on frequencies of a multilayered cylindrical shell. J Sound Vib 188(3):363–384CrossRefGoogle Scholar
- Lam KY, Loy CT (1995b) Free vibration of a rotating multi-layered cylindrical shell. Int J Solids Struct 32(5):647–663CrossRefMATHGoogle Scholar
- Leissa AW (1973) Vibration of shells. NASA SP-288, Reprinted by Acoustical Society of America, America Institute of Physics, 1993Google Scholar
- Leissa AW, Lee JK, Wang AJ (1981) Vibrations of cantilevered shallow cylindrical shells of rectangular planform. J Sound Vib 78(3):311–328CrossRefGoogle Scholar
- Lim CW, Liew KM (1995) A higher order theory for vibration of shear deformable cylindrical shallow shells. Int J Mech Sci 37(3):277–295CrossRefMATHGoogle Scholar
- Loy CT, Lam KM, Shu C (1997) Analysis of cylindrical shells using generalized differential quadrature. J Shock Vib 4(3):193–198CrossRefGoogle Scholar
- Naeem MN, Sharma CB (2000) Prediction of natural frequencies for thin circular cylindrical shells. Proc Inst Mech Eng 214C:1313–1327Google Scholar
- Nanda N, Bandyopadhyay JN (2007) Nonlinear free vibration analysis of laminated composite cylindrical shells with cutouts. J Rreinf Plast Compos 26(14):1413–1427CrossRefGoogle Scholar
- Noor AK, Burton WS (1990) Assessment of computational models for multi-layered composite shells. Appl Mech Rev 43:67–97CrossRefGoogle Scholar
- Sahoo S (2015) Laminated composite stiffened cylindrical shell panels with cutouts under free vibration. Int J Manuf Mater Mech Eng 5(3):37–63Google Scholar
- Singh SP, Gupta K (1994) Damped free vibration of layered composite cylindrical shells. J Sound Vib 172(2):191–209CrossRefMATHGoogle Scholar
- Soldatos KP (1983) Free vibrations of antisymmetric angle-ply laminated circular cylindrical panels. Q J Mech Appl Math 36(2):207–221CrossRefMATHGoogle Scholar
- Warburton GB (1965) Vibration of thin cylindrical shell. J Mech Eng Sci 7:399–407CrossRefMATHGoogle Scholar
- Xuebin L (2008) Study on free vibration analysis of circular cylindrical shells using wave propagation. J Sound Vib 311:667–682CrossRefGoogle Scholar
- Zhang XM, Liu GR, Lam KY (2001) Vibration analysis of thin cylindrical shells using wave propagation approach. J Sound Vib 239(3):397–403CrossRefGoogle Scholar
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