Ezperimental Investigation on Nonlinear Vibrations of Flezible Square Cross-Section Cantilever
  • 【摘要】

    Nonlinear vibrations of a flexible square cross-section cantilever subjected to harmonic excitation has been experimentally investigated in this paper. The first six orders linear natural frequencies ... 展开>>Nonlinear vibrations of a flexible square cross-section cantilever subjected to harmonic excitation has been experimentally investigated in this paper. The first six orders linear natural frequencies obtained mathematically have been compared with those of observation, by which phenomena of frequency division and doubling are found. Frequency response curve has been drawn based on the observed points. Nonlinear character of sensitivity toward initial values has been studied and regareded to cause the curve. In the zones of resonance, two modes of modal combination have been found. The waveforms and amplitude spectrum are introduced to show that this simple sysetm can exhibit complicate nonlinear dynamic characteristics including periodic doubling bifurcations and chaotic motions under certain conditions. 收起<<

  • 【作者】

    Wei Zhang  Yuncheng He  Dongxing Cao  Minghui Yao 

  • 【会议名称】

    第十二届全国非线性振动暨第九届全国非线性动力学和运动稳定性学术会议

  • 【会议时间】

    2009-05-15

  • 【会议地点】

    南京

  • 【主办单位】

    中国力学学会

  • 【语种】

    chi

  • 【关键词】

    非线性振动  谐波励磁  频率响应曲线  混沌运动  悬臂梁