拉索平面内自由振动影响因素分析
DOI:
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

基金项目:


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:

    考虑抗弯刚度、垂度和几何非线性的影响,建立了拉索非线性自由振动方程,针对考虑与否垂度和几何非线性,分别建立了线性无垂度和有垂度理论、非线性无垂度和有垂度理论,用谐波平衡法求得 拉索振动固有频率的近似解析解。其结果与龙格库塔积分法得到的结果较为一致。 此外,还给出了抗弯刚度、垂度和几何非线性对拉索振动固有频率影响的定量判定。

    Abstract:

    The governing equations of nonlinear free vibration of a horizontal c able were presented considering the effects of the bending stiffness, sag and th e geometric nonlinearity. Those partial differential equations were then transfo rmed into a set of ordinary differential equations through the Garlerkin method. Aimed at whether to consider the sag and geometric nonlinearity, four kinds of theories were put forward such as linear theory without sag, linear theory with sag, nonlinear theory without sag and nonlinear theory with sag. The harmoni c balance method was used to study the approximate analytic solution of the natura l frequency of cable vibration. The results agree well with those derived from t he method of the RungeKutta integration. Based on the comparative study on the four present theories, the quantitative decision was proposed to evaluate the in fluence of the bending stiffness, sag and nonlinearity on the natural frequency.

    参考文献
    相似文献
    引证文献
引用本文
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:
  • 最后修改日期:
  • 录用日期:
  • 在线发布日期:
  • 出版日期:
您是第位访问者
振动、测试与诊断 ® 2024 版权所有
技术支持:北京勤云科技发展有限公司