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初始缺陷和拉-弯耦合对于叠层板的振动、屈曲和非线性动力稳定性的影响

王列东 刘正宁 周承倜

王列东, 刘正宁, 周承倜. 初始缺陷和拉-弯耦合对于叠层板的振动、屈曲和非线性动力稳定性的影响[J]. 应用数学和力学, 1999, 20(5): 477-485.
引用本文: 王列东, 刘正宁, 周承倜. 初始缺陷和拉-弯耦合对于叠层板的振动、屈曲和非线性动力稳定性的影响[J]. 应用数学和力学, 1999, 20(5): 477-485.
Wang Liedong, Liu Zhengning, Zhou Chengti. 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, 1999, 20(5): 477-485.
Citation: Wang Liedong, Liu Zhengning, Zhou Chengti. 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, 1999, 20(5): 477-485.

初始缺陷和拉-弯耦合对于叠层板的振动、屈曲和非线性动力稳定性的影响

基金项目: 辽宁省科学技术基金
详细信息
    作者简介:

    王列东(1956~ ),男,副教授,系主任.

  • 中图分类号: O342

Influence of Initial Imperfection and Coupling Between Bending and Extension on Vibration, Buckling and Nonlinear Dynamic Stability of Laminated Plates

  • 摘要: 研究了复合材料叠层板的初始缺陷和拉伸-弯曲耦合对于其振动、屈曲和非线性动力稳定性的影响.推导了控制方程.这是一个修正的非线性Mathieu方程.进行了5种典型复合材料的数值计算,它们是玻璃环氧Scotch-1002,芳纶环氧Kevlar-49,硼环氧B4/5505,石墨环氧T300/5208,和AS/3501.结果表明:由于初始缺陷耦合效应的存在,使叠层板对于进入参数共振更加敏感,并且其振幅大于无初始缺陷或者无耦合效应的叠层板.对于不同复合材料的叠层板,尤其是层数较少的板,耦合效应是不相同的.在板结构的屈曲和动力稳定性设计中,如果忽略了耦合效应的影响,其不安全性将超过10%以上.
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    [5] Zhou Chengti,Buckling,vibration,and dynamic stability of ARALL plates[A].The Ninth International Conference on Composite Materials,(ICCM-9)[C],July,12~16,1993,Madrid,Spain.Proceedings Vol.VI,pp.455~462.Madrid-Spain:Published by University of Zaragoza,Woodhead Publishing Ltd.
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出版历程
  • 收稿日期:  1997-06-09
  • 修回日期:  1998-12-18
  • 刊出日期:  1999-05-15

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