Abstract
Hamilton Principle was used to derive the general governing equations of nonlinear dynamic stability for laminated cylindrical shells in which, factors of nonlinear large deflection, transverse shear and longitudinal inertia force were concluded. Equations were solved by variational method. Analysis reveals that under the action of dynamic load, laminated cylindrical shells will fall into a state of parametric resonance and enter into the dynamic unstable region that causes dynamic instability of shells. Laminated shells of three typical composites were computed: i. e. T300/5 208 graphite epoxy E-glass epoxy, and ARALL shells. Results show that all factors will induce important influence for dynamic stability of laminated shells. So, in research of dynamic stability for laminated shells, to consider these factors is important.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Budiansky B, Hutchinson J W. Dynamic buckling of imperfection sensitive structures[A].Applied Mechanics [C]. Proceedings of 11th International Congress of Applied Mechanics. Freiburg I: Br Munich, 1964.
Bolotin V V.The Dynamic Stability of Elastic Systems [M]. V I Weingerten, et al, transl. San Francisco: Holden-Day Inc, 1964. (English version)
Bogdanovich A E. Nonlinear problems of dynamic buckling of reinforced laminar cylindrical shells [J].Soviet Applied Mechanics, 1986,22(8): 745–753.
Dumir P C, Khatri K N. Axisymmetric static and dynamic buckling of orthotropic shallow conical caps[J].AIAA Fournal, 1985,53(11):1762–1767.
Jones Robert M.Mechanics of Composite Materials[M]. Washington U S A: Hemisphere Publishing Co, (now Taylor & Francis Co), 1975.
Chajes Alexander.Principals of Structural Stability Theory[M]. Massachusetts, U S A: Prentice-Hall Inc, 1974.
Author information
Authors and Affiliations
Additional information
Paper from ZHOU Cheng-ti, Member of Editorial Committee, AMM
Foundation item: the Research Foundation of Liaoning Province (972068); the Foundation of Liaoning Education Bureau (9826421184)
Biography: ZHOU Cheng-ti (1929 − ), Professor, Director of Institute of Composite Materials
Rights and permissions
About this article
Cite this article
Cheng-ti, Z., Lie-dong, W. Nonlinear theory of dynamic stability for laminated composite cylindrical shells. Appl Math Mech 22, 53–62 (2001). https://doi.org/10.1007/BF02437944
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02437944