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应变能中耦合项对旋转悬臂梁振动频率的影响

赵国威 吴志刚

赵国威, 吴志刚. 应变能中耦合项对旋转悬臂梁振动频率的影响[J]. 力学学报, 2015, 47(2): 362-366. doi: 10.6052/0459-1879-14-207
引用本文: 赵国威, 吴志刚. 应变能中耦合项对旋转悬臂梁振动频率的影响[J]. 力学学报, 2015, 47(2): 362-366. doi: 10.6052/0459-1879-14-207
Zhao Guowei, Wu Zhigang. EFFECTS OF COUPLING TERMS IN STRAIN ENERGY ON FREQUENCY OF A ROTATING CANTILEVER BEAM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(2): 362-366. doi: 10.6052/0459-1879-14-207
Citation: Zhao Guowei, Wu Zhigang. EFFECTS OF COUPLING TERMS IN STRAIN ENERGY ON FREQUENCY OF A ROTATING CANTILEVER BEAM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(2): 362-366. doi: 10.6052/0459-1879-14-207

应变能中耦合项对旋转悬臂梁振动频率的影响

doi: 10.6052/0459-1879-14-207
基金项目: 国家自然科学基金资助项目(11072044)、高等学校博士学科点专项科研基金(20110041130001) 和教育部新世纪优秀人才支持计划(NCET-11-0054) 资助项目.
详细信息
    通讯作者:

    吴志刚,教授,主要研究方向:飞行器动力学与控制.E-mail:wuzhg@dlut.edu.cn

  • 中图分类号: O327

EFFECTS OF COUPLING TERMS IN STRAIN ENERGY ON FREQUENCY OF A ROTATING CANTILEVER BEAM

Funds: The project was supported by the National Natural Science Foundation of China (11072044), the Research Fund for the Doctoral Program of Higher Education (20110041130001), and the Program for New Century Excellent Talents in University (NCET-11-0054).
  • 摘要: 大范围运动悬臂梁的动力学建模问题对动力学特性分析及控制系统设计具有极其重要的作用. 当前研究多采用一次近似模型,其忽略了由轴向和横向变形所产生的应变能中的耦合项,然而这些项对动力学特性会产生影响. 通过讨论应变能的选取方式,计入了应变能中的耦合项;利用哈密尔顿原理建立结构的耦合振动模型;再借助瑞利—里兹法,以无大范围运动时的振型函数作为基本解组,得到了结构振动广义特征方程并求解. 通过数值算例对比分析,指出考虑应变能耦合项得到的频率与不考虑应变能耦合项得到的频率存在明显差别.

     

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出版历程
  • 收稿日期:  2014-09-18
  • 修回日期:  2014-10-31
  • 刊出日期:  2015-03-18

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