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金属和压电陶瓷构成的两层复合薄圆板的强迫振动

FORCED VIBRATION OF THE TWO-LAYER PIEZOCERAMIC AND METAL COMPOSITE THIN CIRCULAR PLATE WITH DIFFERENT DIAMETER FOR EACH LAYER

  • 摘要: 本文分析了电压策动或均匀声压策动下的由半径不同的压电陶瓷和金属板构成的两层复合薄圆板的强迫振动。给出了简支边界条件和固定边界条件下的严格解和串联共振频率方程与并联共振频率方程。用Rayleigh-Ritz方法给出了简支边界条件下电压策动的强迫振动的近似解和串联共振频率方程。数字结果给出了能得到较大机电耦合系数的无量纲几何参量的最佳值。本文还讨论了弹性耦合和惯性耦合对共振频率的影响。

     

    Abstract: In the present paper the forced vibrations o'f the two-layer piezoceramic and metal composite thin circular plate with different diameter for the layers, excited with the voltage or uniform pressure, are analysed. The exact solutions and the equations of series and parallel resouance frequencies for simply supported and edge clamped are obtained. The approximate solution forced vibrations, excited with voltage, and the equation of series resonance frequency for the simply supported are given by Rayleigh-Eitz method. The numerical results show that there are optimal values of non-dimesional geomitric parameters for maximal coupling factor. The effect of the elastic and inertia coupling on the resonance frequency is also discussed.

     

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