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弹性连接旋转柔性梁动力学分析

黄意新 田浩 赵阳

黄意新, 田浩, 赵阳. 弹性连接旋转柔性梁动力学分析[J]. 力学学报, 2016, 48(4): 963-971. doi: 10.6052/0459-1879-16-083
引用本文: 黄意新, 田浩, 赵阳. 弹性连接旋转柔性梁动力学分析[J]. 力学学报, 2016, 48(4): 963-971. doi: 10.6052/0459-1879-16-083
Huang Yixin, Tian Hao, Zhao Yang. DYNAMIC ANALYSIS OF A ROTATING FLEXIBLE BEAM WITH ELASTIC BOUNDARY CONDITIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(4): 963-971. doi: 10.6052/0459-1879-16-083
Citation: Huang Yixin, Tian Hao, Zhao Yang. DYNAMIC ANALYSIS OF A ROTATING FLEXIBLE BEAM WITH ELASTIC BOUNDARY CONDITIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(4): 963-971. doi: 10.6052/0459-1879-16-083

弹性连接旋转柔性梁动力学分析

doi: 10.6052/0459-1879-16-083
基金项目: 国家重点基础研究发展计划(973 计划) 资助项目(2013CB733004).
详细信息
    通讯作者:

    赵阳,教授,主要研究方向:复杂航天器系统动力学.E-mail:yangzhao@hit.edu.cn

  • 中图分类号: O313;O326

DYNAMIC ANALYSIS OF A ROTATING FLEXIBLE BEAM WITH ELASTIC BOUNDARY CONDITIONS

  • 摘要: 采用Chebyshev 谱方法对考虑根部连接弹性的平面内旋转柔性梁动力学特性进行研究. 基于Gauss-Lobatto 节点与Chebyshev 多项式方法对柔性梁变形场进行离散,通过投影矩阵法施加固定及弹性连接边界条件. 利用Chebyshev 谱方法获得了系统固有频率和模态振型数值解,通过与有限元方法及加权残余法的比较,验证了方法的有效性. 分析了弹性连接刚度、角速度比率、系统径长比及梁的长细比等参数对系统固有频率及模态振型的影响. 研究发现:由于系统弯曲模态、拉伸模态的频率随各参数的变化规律不一致,将出现频率转向与振型转换现象;随着弹性连接刚度、角速度比率及系统径长比的增大,低阶弯曲模态频率增大并超过高阶拉伸模态频率,随着梁的长细比的增大,低阶拉伸模态频率增大并超过高阶弯曲模态频率.

     

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出版历程
  • 收稿日期:  2016-03-30
  • 修回日期:  2016-05-13
  • 刊出日期:  2016-07-18

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