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分段线性弹簧振动系统的非线性分析

NONLINEAR ANALYSIS OF VIBRATION SYSTEMS WITH SUBSECTIONAL LINEAR SPRINGS

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【作者】 马汝建李桂喜赵东

【Author】 MA RuJian LI GuiXi ZHAO Dong(School of Mechanical Engineering,Jinan University,Jinan 250022,China)

【机构】 济南大学机械工程学院济南大学机械工程学院 济南250022济南250022

【摘要】 应用非线性谱分析法对分段线性弹簧系统在随机载荷作用下的动力响应进行分析。在假设系统的运动响应是平稳的高斯过程的条件下,导出响应谱密度与激励谱密度之间的关系,并应用数值计算方法,求得系统的响应谱密度,进而对系统幅频特性进行分析。研究表明,响应谱密度随激励强度的增加而增加,幅频特性在固有频率附近随阻尼比的减小变化显著,随弹簧间隙的增加而增加,随固有频率的增加而减小。

【Abstract】 The dynamic analysis of the vibration system with subsectional linear springs is carried out by means of spectral analysis.Under the assumption of the displacement response being a zero-mean Gaussian process,the relationship between spectra of response and excitation intensity is established.The spectral density of response is obtained by numerical computations.The amplitude-frequency characteristics of the system are then studied,which show that the response spectral density increases with the increase of excitation intensity;while the peak of the amplitude-frequency curve goes higher with increase of the gap,yet lowers with the increase of natural frequency and drops significantly with the increase of damping ratio.

  • 【文献出处】 机械强度 ,Journal of Mechanical Strength , 编辑部邮箱 ,2007年05期
  • 【分类号】O322
  • 【被引频次】8
  • 【下载频次】351
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