...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International Journal of Solids and Structures >Dynamic stability of pre-twisted beams with non-constant spin rates under axial random forces
【24h】

Dynamic stability of pre-twisted beams with non-constant spin rates under axial random forces

机译：轴向随机力作用下具有非恒定自旋速率的预扭梁的动态稳定性

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

This paper investigates the dynamic stability of a pre-twisted cantilever beam spinning along its longitudinal axis with a periodically varying speed and acted upon by an axial random force at the free end. The spin rate of the beam is characterized as a small periodic perturbation superimposed on a constant speed, and the axial force is assumed as the sum of a static force and a weakly stationary random process with a zero mean. Both the periodically varying spin rate and the axial random force may lead to parametric instability of the beam. In this work, the finite element method is applied first to get rid of the dependence on the spatial coordinate. The method of stochastic averaging is then adopted to obtain Ito's equations for the system response under different resonant frequency combinations. Finally, the first-moment and the second-moment stability conditions of the beam are derived explicitly. Numerical results are presented for a simple harmonic speed perturbation and a Gaussian white noise axial force. (C) 2003 Published by Elsevier Ltd. [References: 19]
机译：本文研究了预扭悬臂梁沿其纵轴以周期性变化的速度旋转并在自由端受到轴向随机力作用下的动态稳定性。光束的自旋速率的特征是叠加在恒定速度上的小周期扰动，轴向力假定为静力和均值为零的弱静态随机过程的总和。周期性变化的自旋速率和轴向随机力都可能导致梁的参数不稳定。在这项工作中，首先应用了有限元方法来摆脱对空间坐标的依赖。然后采用随机平均的方法来获得不同谐振频率组合下系统响应的伊藤方程。最后，明确得出梁的第一矩和第二矩稳定条件。给出了简单的谐波速度摄动和高斯白噪声轴向力的数值结果。 （C）2003年由Elsevier Ltd.出版。[参考文献：19]

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号