考虑剪切效应时双模量梁的自由振动

吴晓 黄志刚 杨立军

振动与冲击 ›› 2015, Vol. 34 ›› Issue (24) : 160-163.

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (24) : 160-163.
论文

考虑剪切效应时双模量梁的自由振动

  • 吴晓 黄志刚 杨立军
作者信息 +

The natural vibration of bimodulous beam considering shear effect

  • WU Xiao  HUANG Zhigang  YANG Lijun
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文章历史 +

摘要

研究了考虑剪切效应时双模量梁自由振动问题。利用双模量材料纯剪切应力状态单元体,推导出了双模量材料剪切弹性模量表达式。在考虑剪切效应的基础上,建立了双模量梁振动的微分方程,推导出了双模量梁振动问题的振型表达式,并讨论分析了剪切效应对双模量梁自由振动固有频率的影响。算例分析表明,对于某些双模量梁自由振动问题,剪切效应的影响是不能忽略的。得到了双模量梁自由振动时,奇数波型与波型振型是不连续的存在间断点的结论。

Abstract

Considering the shear effect, the natural vibration problem of bimodulous beam is studied in this paper. On the basis of considering shear effect, the vibration differential equation of bimodulous beam is established, the mode shape expression of vibration problem of bimodulous beam is derived, and the influence of shear effect on natural vibration frequencies of bimodulous beam is analyzed. The computational results indicate that the influence of shear effect on natural vibration of bimodulous beam can not be ignored in some case. The conclusion that, there are discontinuity points in the odd wave type and wave shape of the natural vibration problem of bimodulous beam, is also got.

关键词

剪切效应 / 双模量 / / 自由振动 / 频率

Key words

shear effect / bimodulous / beam / natural vibration / frequency

引用本文

导出引用
吴晓 黄志刚 杨立军. 考虑剪切效应时双模量梁的自由振动[J]. 振动与冲击, 2015, 34(24): 160-163
WU Xiao HUANG Zhigang YANG Lijun. The natural vibration of bimodulous beam considering shear effect[J]. Journal of Vibration and Shock, 2015, 34(24): 160-163

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