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首页> 外文期刊>Shock and vibration >A theoretical and experimental investigation on free vibration behavior of a cantilever beam with a breathing crack
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A theoretical and experimental investigation on free vibration behavior of a cantilever beam with a breathing crack

机译：带有呼吸裂纹的悬臂梁自由振动特性的理论和实验研究

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摘要

In this paper the free nonlinear vibration behavior of a cracked cantilever beam is investigated both theoretically and experimentally. For simplicity, the dynamic behavior of a cracked beam vibrating at its first mode is simulated using a simple single degree of freedom lumped parameter system. The time varying stiffness is modeled using a harmonic function. The governing equation of motion is solved by a perturbation method - the method of Multiple Scales. Results show that the correction term that is added to the main part of the response reflects the effect of breathing crack on the vibration response. Moreover, this part of response consists of the superharmonic components of the spectrum which is due to the system's intrinsic nonlinearity. Using this method an analytical relation is established between the system characteristics and the crack parameters in one hand and the nonlinear characteristics of system response on the other hand. Results have been validated by the experimental tests and a numerical method.
机译：本文从理论和实验两方面研究了裂纹悬臂梁的自由非线性振动行为。为简单起见，使用简单的单自由度集总参数系统模拟裂纹梁在其第一模式下的动态行为。使用谐波函数对时变刚度进行建模。运动的控制方程通过微扰方法-多尺度方法求解。结果表明，添加到响应主要部分的校正项反映了呼吸裂纹对振动响应的影响。此外，这部分响应由频谱的超谐波成分组成，这是由于系统固有的非线性所致。使用这种方法，一方面建立了系统特性与裂纹参数之间的解析关系，另一方面建立了系统响应的非线性特性。通过实验测试和数值方法验证了结果。

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  • 来源
    《Shock and vibration》 |2012年第2期|p.175-186|共12页
  • 作者

    M. Rezaee; H. Fekrmandi;

  • 作者单位

    Mechanical Engineering Department, Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran;

    Mechanical Engineering Department, Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    cracked beam; breathing crack; superharmonic components; multiple scales method;

    机译：破裂的光束呼吸破裂超谐波分量;多尺度法;

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