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复合材料叠层板的非线性动力稳定性 被引量:3

Nonlinear Dynamic Stability of Composite Laminated Plates
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摘要  研究复合材料叠层板的非线性动力稳定性,分析中考虑大挠度和初始几何缺陷的存在。 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.
出处 《应用数学和力学》 EI CSCD 北大核心 2004年第11期1113-1116,共4页 Applied Mathematics and Mechanics
基金 国家自然科学基金资助项目(10272046) 广东省自然科学基金资助项目(020858)
关键词 复合材料 叠层板 动力稳定性 突变理论 composite material laminated plate dynamic stability catastrophe theory
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参考文献3

  • 1Birman V. Dynamic stability of rectangular laminated composite plates[J]. Computers and Structures, 1986,24 (2): 233-238.
  • 2WEI 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,
  • 3Jones Robert M. Mechanics of Composite Materials [ M ]. Washington USA: Hemisphere Publishing Co, 1975.

共引文献1

同被引文献17

  • 1Chia C Y. Nonlinear analysis of plates [M]. New York: McGraw-Hill, 1980.
  • 2Ye Min, Lu Jing, Zhang Wei. Local and global nonlinear dynamics of a parametrically excited rectangular symmetric cross-ply laminated composite plate [J]. Chaos, Solitons and Fractals, 2005, 26(1): 195--213.
  • 3Zhang Wei. Global and chaotic dynamics for a parametrically excited thin plate [J]. Journal of Sound and Vibration, 2001, 239(5): 1013 -- 1036.
  • 4Nayfeh Ali Hasan, Mook Dean T. Nonlinear oscillations [M]. New York: John Wiley& Sons, 1979.
  • 5Kapitaniak T. Combined bifurcations and transition to chaos in a nonlinear oscillator with two external periodic forces [J]. Journal of Sound and Vibration, 1998, 121(2): 259--268.
  • 6Udar Ratnakar S, Datta P IC Combination resonance characteristics of laminated composite plates subjected to non-uniform harmonic edge loading [J]. Aircraft Engineering and Aerospace Technology, 2006, 78(2): 107--119.
  • 7贾立斌,卿光辉,刘艳红,杜洪增.压电热弹性体混合层合板的响应分析[J].动力学与控制学报,2007,5(3):260-266. 被引量:1
  • 8孙佳,张伟,陈丽华,姚明辉.蜂窝夹层板的非线性动力学研究[J].动力学与控制学报,2008,6(2):150-155. 被引量:8
  • 9毕勤胜,陈予恕,吴志强.多频激励Duffing系统的分岔和混沌[J].应用数学和力学,1998,19(2):113-120. 被引量:17
  • 10胡宇达,吕书锋,杜国君.复合材料层合板的非线性组合共振特性及分岔[J].复合材料学报,2010,27(2):176-182. 被引量:5

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