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分段线性弹簧振动系统的非线性分析
引用本文:马汝建,李桂喜,赵东. 分段线性弹簧振动系统的非线性分析[J]. 机械强度, 2007, 29(5): 852-855
作者姓名:马汝建  李桂喜  赵东
作者单位:济南大学,机械工程学院,济南,250022;济南大学,机械工程学院,济南,250022;济南大学,机械工程学院,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.

关 键 词:振动理论  分段线性弹簧  非线性分析  频幅特性
修稿时间:2004-10-22

NONLINEAR ANALYSIS OF VIBRATION SYSTEMS WITH SUBSECTIONAL LINEAR SPRINGS
MA RuJian,LI GuiXi,ZHAO Dong. NONLINEAR ANALYSIS OF VIBRATION SYSTEMS WITH SUBSECTIONAL LINEAR SPRINGS[J]. Journal of Mechanical Strength, 2007, 29(5): 852-855
Authors:MA RuJian  LI GuiXi  ZHAO Dong
Affiliation:School of Mechanical Engineering, Jinan University, Jinan 250022, China
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.
Keywords:Vibration theory  Subsectional linear springs  Nonlinear analysis  Amplitude-frequency characteristics
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