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Effect of Dead Load on Dynamic Characteristics of Rotating Timoshenko Beams

机译：静载荷对旋转季莫申科梁动力特性的影响

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摘要

The dynamic characteristics of a rotating cantilever Timoshenko beam under dead load are investigated in this paper. Considering the predeformation caused by dead load and centrifugal force, governing equation of rotating cantilever Timoshenko beam is derived based on Hamilton's principle, and the influence of the load on natural vibration is revealed. A suit of modal experimental apparatus for cantilever beam is designed and used to test the natural frequencies under the dead load, and the natural frequencies under rotation condition are calculated with a commercial finite element code. Both the experimental result and numerical result are utilized to compare with the present theoretical result, and the results obtained by present modeling method show a good agreement with those obtained from the experiment and finite element method. It is found that the natural frequencies of cantilever beam increase with both the dead load and the rotating speed.
机译：本文研究了旋转的Timoshenko悬臂梁在恒载作用下的动力特性。考虑恒载和离心力引起的预变形，根据汉密尔顿原理推导了旋转悬臂梁Timoshenko梁的控制方程，揭示了载荷对自然振动的影响。设计了一套适合悬臂梁的模态实验装置，用于测试恒载下的固有频率，并利用商业有限元代码计算了旋转条件下的固有频率。利用实验结果和数值结果与理论值进行了比较，通过本发明的建模方法得到的结果与通过实验和有限元方法得到的结果吻合良好。发现悬臂梁的固有频率随着静载和转速的增加而增加。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第16期|582192.1-582192.10|共10页
  • 作者

    Yin Yan-Qi; Zhang Bo; Li Yue-ming; Lu Wei-Zhen;

  • 作者单位

    Xi An Jiao Tong Univ, Sch Aerosp Engn, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R China.;

    Xi An Jiao Tong Univ, Sch Aerosp Engn, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R China.;

    Xi An Jiao Tong Univ, Sch Aerosp Engn, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R China.;

    City Univ Hong Kong, Dept Architecture & Civil Engn, Kowloon, Hong Kong, Peoples R China.;

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