基于Bezier插值方法的作大范围旋转运动锥形悬臂梁动力学研究
DOI:
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

基金项目:

国家自然科学基金(11132007,10772085,11272155),江苏省“青蓝工程”,江苏省“333工程”科研项目资助计划(BRA2011172),南京理工大学自主科研专项计划(2011YBXM32)


Dynamic analysis of a rotating tapered cantilever beam based on bezier curve interpolation
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:

    研究了作大范围旋转运动高度和宽度均沿着梁长度方向变化的锥形悬臂梁动力学问题.采用Bezier插值方法对柔性梁的变形场进行描述,考虑柔性梁的纵向拉伸变形和横向弯曲变形,计入由于横向弯曲变形引起的纵向缩短,即非线性耦合项.运用第二类拉格朗日方程推导出作旋转运动锥形梁的动力学方程,并编制了动力学仿真软件,对作旋转运动锥形梁的频率和动力学响应进行研究.结果表明:不同锥形梁截面的动力学响应和系统频率将有明显差异,因此对实际系统合理建模,将能得到更为精确的结果.

    Abstract:

    The natural frequencies and the dynamic response of a rotating tapered cantilever Euler Bernoulli beam were investigated. The height and the width of the tapered beam vary linearly along its length. The approach of Bezier curve interpolation was used to describe the deformation of the flexible beam. Both the transversal and the longitudinal deformations of the flexible beam were considered. And in the total longitudinal deformation, the non linear coupling term, also known as the longitudinal shortening caused by transversal deformation, was considered. The rigid flexible coupling dynamic equations of the system were established via employing the second kind of Lagrange's equation. A software package for the dynamic simulation of the rotating tapered cantilever beam was developed. Then the natural frequencies and the dynamic response of the rotating tapered cantilever beam were investigated and compared. The simulation shows that dynamics response and natural frequencies of different tapered beams will be significantly different. Reasonable modeling of the actual system will be necessary to get more accurate simulation results.

    参考文献
    相似文献
    引证文献
引用本文

范纪华,章定国,洪嘉振.基于Bezier插值方法的作大范围旋转运动锥形悬臂梁动力学研究[J].动力学与控制学报,2012,10(4):347~354; Fan Jihua, Zhang Dingguo, Hong Jiazhen. Dynamic analysis of a rotating tapered cantilever beam based on bezier curve interpolation[J]. Journal of Dynamics and Control,2012,10(4):347-354.

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:2012-04-26
  • 最后修改日期:2012-07-28
  • 录用日期:
  • 在线发布日期: 2012-11-28
  • 出版日期:

微信公众号二维码

手机版网站二维码