粘弹性板的非线性动力稳定性分析方法
DOI:
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

基金项目:

湖南省自然科学基金资助项目(05JJ30008)


Analysis method of nonlinear dynamic stability for viscoelastic plates
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:

    将微分积分型参数振动方程组转化成微分型,且基于增量谐波平衡法的一般应用途径,分析了受面内周期激励的粘弹性板的非线性动力稳定特性,揭示了主要动力不稳定区域的整体下移以及缩小和标准线性固体材料的粘性参数、板的振动频率之间的关系.同时给出了增量谐波平衡法直接应用于非线性微分积分型参数振动方程的简化途径,并通过两种应用途径所得结果的对比,检验了这种简化途径的有效性.

    Abstract:

    Based on the general approach of Incremental Harmonic Balance method (IHBM), the behavior of nonlinear dynamic stability for viscoelastic plates subjected to inplane periodic excitation was investigated by converting the integrodifferential governing equations to differential ones. The dependence of the downward shift and contraction of principal instable regions on the viscose parameters of standard linear solid and vibration frequency of plates was examined. A simplified approach of direct application of Incremental Harmonic Balance method to integrodifferential equation of motion was given, and this approximate method was validated through the comparison of results obtained respectively by two kinds of application of IHBM.

    参考文献
    相似文献
    引证文献
引用本文

彭凡,傅衣铭.粘弹性板的非线性动力稳定性分析方法[J].动力学与控制学报,2005,3(4):60~65; Peng Fan, Fu Yiming. Analysis method of nonlinear dynamic stability for viscoelastic plates[J]. Journal of Dynamics and Control,2005,3(4):60-65.

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:2005-08-18
  • 最后修改日期:
  • 录用日期:
  • 在线发布日期:
  • 出版日期:

微信公众号二维码

手机版网站二维码