Technical Papers
Feb 14, 2012

Large-Amplitude Vibration Analysis of Shear Deformable Laminated Composite Cylindrical Shells with Initial Imperfections in Thermal Environments

Publication: Journal of Engineering Mechanics
Volume 140, Issue 3

Abstract

Large-amplitude vibration analysis for a shear deformable cross-ply laminated composite cylindrical shell of finite length in thermal environments is presented. The material of each layer of the shell is assumed to be linearly elastic and fiber reinforced. The motion equations are based on Reddy’s higher-order shear deformation shell theory with a von Kármán-Donnell–type of kinematic nonlinearity. The thermal effects and initial imperfections of the shell are both taken into account. A two-step perturbation technique is employed to determine the linear and nonlinear frequency of the laminated cylindrical shells. The numerical illustrations concern the nonlinear vibration behavior of laminated composite cylindrical shells with different values of geometric parameters and different cases of thermal environmental conditions. The results show that the shell has relatively lower natural frequencies when the temperature-dependent properties are taken into account. The results reveal that the temperature changes, initial imperfections of the shell, and the shell geometric parameter have significant effects on the nonlinear vibration behavior of laminated composite cylindrical shells.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors sincerely thank the reviewers for their comments. The work described in this paper was supported in part by grants from the National Natural Science Foundation of China (Nos. 51279222, 51005013, 51275292) and the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (No. 51121063). The authors are also grateful for this financial support.

References

Amabili, M. (2003). “Theory and experiments for large-amplitude vibrations of empty and fluid-filled circular cylindrical shell with imperfections.” J. Sound Vibrat., 262(4), 921–975.
Amabili, M. (2011). “Nonlinear vibrations of laminated circular cylindrical shells: Comparison of different shell theories.” Compos. Struct., 94(1), 207–220.
Amabili, M., and Païdoussis, M. P. (2003). “Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction.” Appl. Mech. Rev., 56(4), 349–381.
Amabili, M., Pellicano, F., and Païdoussis, M. P. (1998). “Nonlinear vibrations of simply supported, circular cylindrical shells, coupled to quiescent fluid.” J. Fluids Structures, 12(7), 883–918.
Amazigo, J. C. (1974). “Asymptotic analysis of the buckling of externally pressurized cylinders with random imperfections.” Q. Appl. Math., 31, 429–442.
Boyd, D. E., and Culberson, L. D. (1971). “Free vibrations of freely supported oval cylinders.” AIAA J., 9(8), 1474–1480.
Chen, J. C., and Babcock, C. D. (1975). “Nonlinear vibration of cylindrical shells.” AIAA J., 13(7), 868–876.
Chu, H. N. (1961). “Influence of large-amplitudes on flexural vibrations of a thin circular cylindrical shell.” J. Aerosp. Sci., 28(8), 602–609.
Dong, K., and Wang, X. (2007). “The effect of transverse shear, rotary inertia on wave propagation in laminated piezoelectric cylindrical shells in thermal environment.” J. Reinforced Plast. Compos., 26(15), 1523–1538.
Donnell, L. H. (1976). Beams, plates, and shells, McGraw Hill, New York.
Evensen, D. A. (1963). “Some observations on the nonlinear vibration of thin cylindrical shells.” AIAA J., 1(12), 2857–2858.
Flügge, W. (1962). Stresses in shells, Springer, Berlin.
Ganapathi, M., and Varadan, T. K. (1995). “Nonlinear free flexural vibrations of laminated circular cylindrical shells.” Compos. Struct., 30(1), 33–49.
Hernández-Moreno, H., Douchin, B., Collombet, F., Choqueuse, D., and Davies, P. (2008). “Influence of winding pattern on the mechanical behavior of filament wound composite cylinders under external pressure.” Compos. Sci. Technol., 68(3–4), 1015–1024.
Huang, N. N. (1994). “Influence of shear correction factors in the higher order shear deformation laminated shell theory.” Int. J. Solids Struct., 31(9), 1263–1277.
Jansen, E. L. (2008). “A perturbation method for nonlinear vibrations of imperfect structures: Application to cylindrical shell vibrations.” Int. J. Solids Struct., 45(3–4), 1124–1145.
Kargarnovin, M. H., and Hashemi, M. (2012). “Free vibration analysis of multilayered composite cylinder consisting fibers with variable volume fraction.” Compos. Struct., 94(3), 931–944.
Lam, K. Y., and Loy, C. T. (1995). “Analysis of rotating laminated cylindrical shells by different thin shell theories.” J. Sound Vibrat., 186(1), 23–35.
Li, J., and Hua, H. (2009). “Transient vibrations of laminated composite cylindrical shells exposed to underwater shock waves.” Eng. Struct., 31(3), 738–748.
Li, Z. M., and Shen, H. S. (2009). “Buckling and postbuckling analysis of shear deformable anisotropic laminated cylindrical shells under torsion.” Mech. Adv. Mater. Structures, 16(1), 46–62.
Liew, K. M., Lim, C. W., and Kitipornchai, S. (1997). “Vibration of shallow shells: A review with bibliography.” Appl. Mech. Rev., 50(8), 431–444.
Love, A. E. H. (1944). A treatise on the mathematical theory of elasticity, 4th Ed., Dover Publishing, New York.
Noor, A. K., and Burton, W. S. (1990). “Assessment of computational models for multilayered composite shells.” Appl. Mech. Rev., 43(4), 67–97.
Noor, A. K., and Burton, W. S. (1992). “Computational models for high-temperature multilayered composite plates and shells.” Appl. Mech. Rev., 45(10), 419–446.
Noor, A. K., Burton, W. S., and Peters, J. M. (1991). “Assessment of computational models for multilayered composite cylinders.” Int. J. Solids Struct., 27(10), 1269–1286.
Nosier, A., and Reddy, J. N. (1992). “Vibration and buckling analysis of cross-ply laminated circular cylindrical shells.” J. Sound Vibrat., 157(1), 139–159.
Pellicano, F. (2007). “Vibrations of circular cylindrical shells: Theory and experiments.” J. Sound Vibrat., 303(1–2), 154–170.
Pellicano, F., Amabili, M., and Païdoussis, M. P. (2002). “Effect of the geometry on the non-linear vibration of circular cylindrical shells.” Int. J. Non-linear Mech., 37(7), 1181–1198.
Qatu, M. S., Sullivan, R. W., and Wang, W. C. (2010). “Recent research advances on the dynamic analysis of composite shells: 2000-2009.” Compos. Struct., 93(1), 14–31.
Ray, M. C., and Reddy, J. N. (2004). “Optimal control of thin circular cylindrical laminated composite shells using active constrained layer damping treatment.” Smart Mater. Struct., 13(1), 64–72.
Reddy, J. N. (2004). Mechanics of laminated composite plates and shells: Theory and analysis, 2nd Ed., CRC Press, Boca Raton, FL.
Reddy, J. N., and Liu, C. F. (1985). “A higher-order shear deformation theory of laminated elastic shells.” Int. J. Eng. Sci., 23(3), 319–330.
Reissner, E. (1955). “Non-linear effects in vibrations of cylindrical shells.” Rep. No. AM 5-6, Guided Missile Research Division, Ramo-Wooldridge, Los Angeles.
Ribeiro, P. (2009). “On the influence of membrane inertia and shear deformation on the geometrically nonlinear vibrations of open, cylindrical, laminated clamped shells.” Compos. Sci. Technol., 69(2), 176–185.
Ruotolo, R. (2001). “A comparison of some thin shell theories used for the dynamic analysis of stiffened cylinders.” J. Sound Vibrat., 243(5), 847–860.
Sanders, J. (1959). “An improved first approximation theory of thin shells.” NASA TR-R24, National Aeronautics and Space Administration (NASA), Washington, DC.
Sewall, J. L., Thompson, W. M., and Pusey, C. G. (1971). “An experimental and analytical vibration study of elliptical cylindrical shells.” NASA TN D-6089, National Aeronautics and Space Administration, Washington DC.
Shen, H. S. (2001). “The effects of hygrothermal conditions on the postbuckling analysis of shear deformable laminated cylindrical shells.” Int. J. Solids Struct., 38(36–37), 6357–6380.
Simitses, G. J., and Anastasiadis, J. S. (1992). “Shear deformable theories for cylindrical laminates-equilibrium and buckling with applications.” AIAA J., 30(3), 826–834.
Sofiyev, A. H., Korkmaz, K. A., Mammadov, Z., and Kamanli, M. (2009). “The vibration and buckling of freely supported non-homogeneous orthotropic conical shells subjected to different uniform pressures.” Int. J. Press. Vessels Piping, 86(10), 661–668.
Tabiei, A., and Simitses, G. (1997). “Imperfection sensitivity of shear deformable moderately thick laminated cylindrical shells.” Comp. Struct., 62(1), 165–174.
Tsouvalis, N. G., Zafeiratou, A. A., and Papazoglou, V. J. (2003). “The effect of geometric imperfections on the buckling behaviour of composite laminated cylinders under external hydrostatic pressure.” Compos., Part B Eng., 34(3), 217–226.
Wang, X., Lu, G., and Xiao, D. G. (2002). “Non-linear thermal buckling for local delamination near the surface of laminated cylindrical shell.” Int. J. Mech. Sci., 44(5), 947–965.
Zhang, X. M. (2001). “Vibration analysis of cross-ply laminated composite cylindrical shells using the wave propagation approach.” Appl. Acoust., 62(11), 1221–1228.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 140Issue 3March 2014
Pages: 552 - 565

History

Published online: Feb 14, 2012
Received: Jul 20, 2012
Accepted: May 27, 2013
Published in print: Mar 1, 2014

Permissions

Request permissions for this article.

Authors

Affiliations

Associate Professor, School of Mechanical Engineering, Shanghai Key Laboratory of Digital Manufacture for Thin-Walled Structures, Shanghai Jiao Tong Univ., Shanghai 200240, China (corresponding author). E-mail: [email protected]
Xiang-Dong Chen [email protected]
Assistant Professor, School of Mechanical, Electronic and Control Engineering, Beijing Jiao Tong Univ., Beijing 100044, China. E-mail: [email protected]
Hai-Dong Yu [email protected]
Associate Professor, School of Mechanical Engineering, Shanghai Key Laboratory of Digital Manufacture for Thin-Walled Structures, Shanghai Jiao Tong Univ., Shanghai 200240, China. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share