利用弹簧-质量系统抑制梁上任意点的振动

  • 摘要: 通过调节平行悬挂于梁上的两个弹簧-质量系统使得梁上任意一点的挠度和转角同时为零,从而达到抑制振动的目的. 首先利用假设模态法得到结构的控制方程, 在此基础上,同时考虑零挠度和零转角条件,得到了一种确定弹簧-质量系统参数的算法.通过数值算例证明了通过该方法能够有效地抑制梁上任意点的振动.

     

    Abstract: A simple and effective method to impose an arbitrary fixednode along a beam is developed by using two properly attached translationalspring-masses. The governing equation of the combined system is derived byusing the assumed mode method. With the conditions of zerodisplacements and zero slopes simultaneously, the constraint equations areobtained and the parameters of the oscillators can be determined.Numerical examples are given to validate the proposed method.

     

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