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基于K-V阻尼模型的铁木辛柯梁振动响应分析

张夏阳 祝明 武哲

张夏阳, 祝明, 武哲等 . 基于K-V阻尼模型的铁木辛柯梁振动响应分析[J]. 北京航空航天大学学报, 2018, 44(3): 500-507. doi: 10.13700/j.bh.1001-5965.2017.0196
引用本文: 张夏阳, 祝明, 武哲等 . 基于K-V阻尼模型的铁木辛柯梁振动响应分析[J]. 北京航空航天大学学报, 2018, 44(3): 500-507. doi: 10.13700/j.bh.1001-5965.2017.0196
ZHANG Xiayang, ZHU Ming, WU Zheet al. Response analysis of Timoshenko beam based on K-V damping model[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(3): 500-507. doi: 10.13700/j.bh.1001-5965.2017.0196(in Chinese)
Citation: ZHANG Xiayang, ZHU Ming, WU Zheet al. Response analysis of Timoshenko beam based on K-V damping model[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(3): 500-507. doi: 10.13700/j.bh.1001-5965.2017.0196(in Chinese)

基于K-V阻尼模型的铁木辛柯梁振动响应分析

doi: 10.13700/j.bh.1001-5965.2017.0196
基金项目: 

国家重点研发计划 2016YFB1200100

详细信息
    作者简介:

    张夏阳  男,博士研究生。主要研究方向:飞行器设计

    祝明  男,副教授,博士生导师。主要研究方向:飞行器设计

    武哲  男,教授,博士生导师。主要研究方向:飞行器设计

    通讯作者:

    祝明, E-mail: zhumingbuaa@163.com

  • 中图分类号: V214.3+7

Response analysis of Timoshenko beam based on K-V damping model

Funds: 

National Key R&D Program of China 2016YFB1200100

More Information
  • 摘要:

    基于铁木辛柯梁理论,对两端固支梁在承受阶跃载荷和移动载荷下的响应进行了分析。借助K-V阻尼模型,研究了阻尼对系统动态性能的影响。为了进行理论求解,推导了比例阻尼的使用条件,继而运用实模态叠加法理论,最终导出了系统受载时响应的解析解。数值分析结果表明,该方法准确可靠,为其他数值算法,如拉普拉斯变换法,提供了横向对比的依据。有阻尼振动的分析表明系统在高阶模态具有过临界阻尼特性,在低阶模态为收敛振荡特性。阻尼对系统的响应有很大影响,尤其在大长细比时,甚至出现了振幅增大的情形。此外,在阶跃载荷的作用下,系统均呈现出了低频模态为主的响应特性。

     

  • 图 1  Durbin数值反拉普拉斯求解效果示意图

    Figure 1.  Schematic of solving accuracy of Durbin's inverse Laplace

    图 2  模态频率和阻尼比变化趋势图

    Figure 2.  Changing tendency of modal frequencies and damping ratios

    图 3  归一化模态振型

    Figure 3.  Normalized modal shapes

    图 4  Lr=10模态响应

    Figure 4.  Modal response when Lr=10

    图 5  Lr=100模态响应

    Figure 5.  Modal response when Lr=100

    图 6  d*=0.5时无量纲位移总响应

    Figure 6.  Non-dimensionalized response of total displacement when d*=0.5

    图 7  d*=0.25时无量纲位移总响应

    Figure 7.  Non-dimensionalized response of total displacement when d*=0.25

    图 8  Lr=10无量纲位移总响应

    Figure 8.  Non-dimensionalized response of total displacement when Lr=10

    图 9  Lr=100无量纲位移总响应

    Figure 9.  Non-dimensionalized response of total displacement when Lr=100

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出版历程
  • 收稿日期:  2017-04-05
  • 录用日期:  2017-07-12
  • 刊出日期:  2018-03-20

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