A STUDY OF FREE VIBRATION AND FATIGUE FOR CROSS-PLY CLOSED CYLINDRICAL SHELLS USING GENERAL THIRD SHELL THEORY (GTT)
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Abstract
Free vibration solution will be developed for laminated simply supported closed cylindrical shells. This solution is obtained using General Third Shell Theory (G.T.T.). Also the critical in-plane fatigue load is studied and the required equilibrium equations are developed, the effects of tension or compression in-plane load on the natural frequencies are discussed also. The natural frequencies and in-plane fatigue load results are very close to those obtained by other researchers.
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Altan Kayran & Jack R. Vinson,’ Free vibration analysis of laminated composite truncated circular conical shells’, AIAAJ, vol. 28, no.7, 1990.
Azam Tafreshi,’Delamination buckling and post buckling in composite cylindrical shells under combined axial compression and external pressure’, Composite Structures, Article in press, 2005.
Andrea Spagnoli,’Different buckling modes in axially stiffened conical shells’, Engineering Structures, vol.23, 2001.
Darvizeh M., Haftchenari H., Darvizeh A., Ansari R., Sharma C.B., ‘The effect of boundary conditions on the dynamic stability of orthotropic cylinders using a modified exact analysis’, Composite Structures, article in press, 2005.
George J. Simitses & John S. Anastasiadis,’Shear deformable theories for cylindrical laminates-equilibrium and buckling with applications’, AIAA J., vol.30, no.3, 1992.
Geier B., Meyer-Piening H.-R., Zimmermann R.,’On the influence of laminate stacking on buckling of composite cylindrical shells subjected to axial compression’, Composite Structures,vol.55, 2002.
Hunt G.W., Lord G.J., Peletier M.A.,’Cylindrical shell buckling: a characterization of localization and periodicity’, Discrete and continuous dynamical systems-series B, vol.3, no.4, 2003.
Lee J. J., Yeom C.H., Lee I., ‘ Vibration analysis of twisted cantilevered conical composite shells’, J. of Sound and vibration, vol. 255,no.5, 2002.
Liyong Tong, ‘Free vibration of composite laminated conical shells’, Int. j. Mech. Sci., vol.35, no.1, 1993.
Kabir H.R.H., Al-Khaleefi A.M., Chaudhuri R.A., ‘Frequency response of a moderately thick antisymmetric cross-ply cylindrical panel using mixed type of Fourier solution functions’, , J. of Sound and vibration ,vol.259, no.4,2003.
Korjakin A., Rikards R., Chate A.,’Analysis of free damped vibrations of laminated composite conical shells’, Compo.Stru. vol.41, 1998.
Meyers C.A. &Hyer M.W.,’Response of elliptical composite cylinders to axial compression loading’, Mechanics of Composite Materials and Structures, vol.6, 1999.
Mohammad S. Qatu, ‘Vibration of laminated shells and plates’, Elsevier Academic Press, 2004.
Narita Y., Ohta Y., Yamda G., Kobayashi Y., ‘ Analytical method for vibration of angle ply cylindrical shells having arbitrary edges’, AIAA, vol.30, no.3, 1992.
NG T.Y., Lam K.Y., Reddy J.N.,’Dynamic stability of cross-ply laminated composite cylindrical shells’, Int. J. Mech. Sci., vol.40, no.8, 1998.
NG T.Y., Lam K.Y., Reddy J.N,’Parametric resonance of a rotating cylindrical shell subjected to periodic axial loads’, J. of Sound and vibration, vol.214, no.3, 1998.
Pinto I.F. Correia, Motasoares C.M., Herskovits J., ‘Analysis of laminated conical shell structures using higher order models’, C. M. Mota Soares, 2001.
Seishi Yamada & Croll G.J.A.,’Buckling and post-buckling characteristics of pressure-loaded cylinders’, J. of Applied Mechanics, vol.60, 1993.
Sofiyev A.H.,’the stability of compositionally graded ceramic-metal cylindrical shells under a periodic axial impulsive loading’, Composite Structures, vol.69, 2005.
Soedel W., ‘Vibration of shells and plates’, 2000.
Romil Tanov, Ala Tabiei, George J. Simitses,’Effect of static preloading on the dynamic buckling of laminated cylinders under sudden pressure’, Mechanics of Composite Materials and Structures, vol.6, 1999.
Reddy J.N., ‘Mechanics of laminated composite plates and shells’, CRC Press 2004.
Reddy J.N. and Liu C.F.,’A higher-order shears deformation theory of laminated elastic shells’ I.J.Eng.Sci, vol.23, no.3, 1985.
Tong T., ’Effect of axial load on free vibration of orthotropic truncated conical shells’, ASME, J. of vib. & acous. vol.118,1996.
Werner Hufenbach, Carsten Holste, Lothar Kroll, ‘Vibration and damping behavior of multi-layered composite cylindrical shells’, Comp.Stru. vol.58, 2002.
Xi Z.C., Yam L.H. & Leung T.P., ‘Free vibration of composite laminated shell of revolution: Effects of shear non-linearity’, Int. J. Mech. Sci., vol.41, 1999.
Young-Shin Lee, Myung-Hwan Choi, Jae Hoon Kim, ‘Free vibrations of laminated composite cylindrical shells with an interior plate’, J. of Sound and vibration, vol.265, 2003.
Youngjin Chung,’Buckling of composite conical shells under combined axial compression, external pressure and bending ‘,Ph. D. thesis submitted to New Jersey Institute of Technology, 2001.