变截面Timoshenko悬臂梁自由振动分析
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

基金项目:

2006年度新世纪优秀人才支持计划资助项目(NCET060084)


Free Vibration of Nonuniform Timoshenko Cantilever Beams
Author:
Affiliation:

Fund Project:

  • 摘要
  • |
  • 图/表
  • |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • |
  • 引证文献
  • |
  • 资源附件
  • |
  • 文章评论
    摘要:

    为考虑剪切变形和转动惯量的影响,基于模态摄动法基本原理,提出了一种求解变截面Timoshenko悬臂梁自由振动问题的近似解法。这一方法是利用等截面Euler梁的特征值和模态,将变截面Timoshenko梁特征方程的偏微分方程组转化为代数方程组进行求解,从而得到变截面Timoshenko梁的特征值和模态。该方法适用于求解任意复杂截面型式梁的动力特性,无论梁的截面变化是否连续。随后对截面阶跃变化和线性变化2类变截面梁进行算例分析,数值分析结果表明,这一方法简单、实用,具有良好的精度。 

    Abstract:

    In order to consider the effect of shearing deformation and rotating inertia, an approximate method, which is based on modal perturbation method, is proposed for the free vibration analysis of nonuniform Timoshenko cantilever beams. With the eigenvalues and eigenvectors of uniform Euler beams, a set of partial differential characteristic equations of nonuniform Timoshenko beams is transformed into a set of algebraic equations for solutions of nonuniform Timoshenko beams. The method can solve the dynamic characteristics of beams with complicated crosssection, whether the crosssection variation is continuous or discontinuous. At the end, two types of beams, namely (a) discontinuous variation of thickness and (b) continuous and linear variation, are analyzed and shown that the method is simple, practicable and owns good precision.

    参考文献
    相似文献
    引证文献
引用本文

潘旦光,吴顺川,张维.变截面Timoshenko悬臂梁自由振动分析[J].土木与环境工程学报(中英文),2009,31(3):25-28. PAN Danguang, WU Shunchuan, ZHANG Wei. Free Vibration of Nonuniform Timoshenko Cantilever Beams[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,2009,31(3):25-28.10.11835/j. issn.1674-4764.2009.03.006

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:2009-02-02
  • 最后修改日期:
  • 录用日期:
  • 在线发布日期:
  • 出版日期: