Abstract
Catastrophe theory was applied to the investigation of nonlinear dynamic stability of composite laminated plates. The influence of large deflection, initial imperfection, support conditions and ply-angle of the fibers were considered. The catastrophic models and the critical conditions of dynamic buckling of composite laminated plates are obtained.
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Birman V. Dynamic stability of rectangular laminated composite plates[J].Computers and Structures, 1986,24(2):233–238.
ZHOU Cheng-ti, WANG Lie-tong, LIU Zheng-ning. Basic problems of nonlinear dynamic stability for composite laminated plates[A]. In: CHEN Shu-hui, CHENG Chang-jun DAI Shi-qiang,et al. Eds.Modern Mathematics and Mechanics (MMM)-VII[C]. Guangzhou: Zhongshan University Press, 2000,500–506. (in Chinese)
ZHOU Cheng-ti,Theory of Nonlinear dynamic stability for composite laminated plates[J].Applied Mathematics and Mechanics (English Edition). 1991,12(2):113–120.
WANG Lie-tong, LIU Zheng-ning, ZHOU Cheng-ti. Influence of initial imperfection and coupling between bending and extension on vibration, buckling and nonlinear dynamic stability of laminated plates[J].Applied Mathematics and Mechanics (English Edition), 1999,20(5):503–512.
WEI De-min, ZHANG Shan-yuan, YANG Gui-tong, Resonance buckling of elastic circular plates [A]. In: CHIEN Wei-zang, CHENG Chang-jun, DAI Shi-qiang,et al., Eds.Proc 3rd International Conference on Nonlinear Mechanics[C]. Shanghai: Shanghai University Press, 1998,387–390. (in Chinese).
WEI De-min. Catastrophic buckling of bars under dynamic periodic loads[J].Journal of Taiyuan University of Technology, 1990,20(3):38–43. (in Chinese).
SHEN Mao-shan, WEI De-min. A catastrophic model for vibrational buckling of elastic arches[J].Applied Mathematics and Mechanics. (English Edition), 1990,11(12):1171–1174.
WEI De-min, YANG Gui-tong. Catastrophe fracture of thin-wall pressure tubes[J].Applied Mathematics and Mechanics (English Edition), 2002,23(2):146–149.
Jones Robert M.Mechanics of Composite Materials[M]. Washington USA: Hemisphere Publishing Co, 1975.
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Contributed by Yang Gui-tong, Original Member of Editorial Committee, AMM
Foundation items: the National Natural Science Foundation of China (10272046); the Natural Science Foundation of Guangdong Province (020858)
Biography: Wei De-min (1955 ∼)
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De-min, W., Gui-tong, Y. Nonlinear dynamic stability of composite laminated plates. Appl Math Mech 25, 1215–1219 (2004). https://doi.org/10.1007/BF02438276
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DOI: https://doi.org/10.1007/BF02438276