东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2008, Vol. 29 ›› Issue (12): 1770-1773.DOI: -

• 论著 • 上一篇    下一篇

复合材料薄壁圆柱壳动态弹性模量的研究

李健;郭星辉;郭明涛;颜云辉;   

  1. 东北大学理学院;东北大学机械工程与自动化学院;
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2008-12-15 发布日期:2013-06-22
  • 通讯作者: Li, J.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金和上海宝钢集团公司联合资助项目(50574019)

Analysis of dynamic elastic modulus of thin-wall cylindrical shells made from composites

Li, Jian (1); Guo, Xing-Hui (1); Guo, Ming-Tao (1); Yan, Yun-Hui (2)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China; (2) School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2008-12-15 Published:2013-06-22
  • Contact: Li, J.
  • About author:-
  • Supported by:
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摘要： 提供了一种将试验和理论分析相结合的方法来研究复合材料薄壁圆柱壳的动态弹性模量.采用稳态正弦激振试验获得玻璃/环氧树脂复合材料薄壁圆柱壳的固有频率及振型,应用有限元方法计算各阶固有频率对应的动态弯曲弹性模量,并对结果进行数据拟合,得到动态弹性模量与激振力频率之间的Lorentzian函数关系.结果表明,动态弯曲弹性模量远小于静态值,而且随着振动频率的增大而不断减小,Lorentzian函数可以用来较好地描述动态弯曲弹性模量与振动频率之间关系,将该函数关系应用于Donnell简化壳理论计算的圆柱壳固有频率与试验结果相吻合.

关键词: 玻璃/环氧树脂复合材料, 薄壁圆柱壳, 动态弹性模量, 静态弹性模量, Lorentzian函数

Abstract: A method combining tests with theoretic analysis was presented to investigate the dynamic elastic modulus of the thin-wall cylindrical shells made from composites. Frequencies and modes of the thin-wall cylindrical shells made from glass-epoxy composite were obtained from tests of steady-state sinusoidal shock. FEM was applied to compute the dynamic flexural elastic modulus corresponding to the natural frequencies of different orders. With the results fitted, the Lorentzian relation between the frequency of shock-exciting force and dynamic elastic modulus was given. The results showed that the value of dynamic flexural elastic modulus is much less than that of the static one and decreases with the increasing frequency. The Lorentzian function is thus proved available to describe properly the relationship between dynamic flexural elastic modulus and vibrational frequency, and the theoretical value of the natural frequency calculated by the Donnell's shallow-shell theory coincides well with the testing results if applying the Lorentzian function to the calculation.

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