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弹性混合板的振动和稳定问题

吕和祥 李俊永

吕和祥, 李俊永. 弹性混合板的振动和稳定问题[J]. 应用数学和力学, 2009, 30(4): 388-398.
引用本文: 吕和祥, 李俊永. 弹性混合板的振动和稳定问题[J]. 应用数学和力学, 2009, 30(4): 388-398.
LÜHe-xiang, LI Jun-yong. Vibration and Stability of Hybrid Plate Based on Elasticity Theory[J]. Applied Mathematics and Mechanics, 2009, 30(4): 388-398.
Citation: LÜHe-xiang, LI Jun-yong. Vibration and Stability of Hybrid Plate Based on Elasticity Theory[J]. Applied Mathematics and Mechanics, 2009, 30(4): 388-398.

弹性混合板的振动和稳定问题

详细信息
    作者简介:

    吕和祥(1938- ),男,辽宁盖县人,教授,博士生导师(联系人.E-mail:lhxxdlut@yahoo.com.cn).

  • 中图分类号: O343.8

Vibration and Stability of Hybrid Plate Based on Elasticity Theory

  • 摘要: 通过将非线性应变位移关系引入Hellinger-Reissner变分原理,推导出了各向异性板基于弹性理论下的振动和屈曲控制方程.用精细积分法研究了四边简支混合矩形板.精细积分法与传统的有限差分法相比,可以给出计算机精度允许的很精确的数值结果.所以,给出的混合板的振动和稳定的结果可以看作是近似解析的.这些结果可以作为衡量各种板理论准确性的一个标准.而且,非对称层合板中出现的各种耦合影响,比如弯扭耦合,拉弯耦合等在同一组控制方程里被考虑了.
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出版历程
  • 收稿日期:  2008-02-20
  • 修回日期:  2009-02-27
  • 刊出日期:  2009-04-15

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