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本文讨论了压电陶瓷和金属构成的三层复合薄圆板的等效电路和粘接面上的剪应力分布。利用电压策动下强迫振动的稳态解求出系统的纯弹性能,纯电能和机电耦合能。再用推导等效电路的能量法求得系统的四端等效电路。在无损耗的情况下,该等效电路在所有的频率上都是正确的。然后利用等效电路求出共振频率附近的有损耗存在的位移函数。再由运动微分方程就可得到动态剪应力的分布。剪应力与策动电压和机械品质因数的乘积成正比。圆板中心处的剪应力为零。随着半径的增加剪应力迅速增加。当r/a=0.85时,剪应力有极大值,边缘上的应力略有下降。
In this paper, the equivalent circuit and the shear stress distribution on the bonding surface of a three-layer composite thin disk made of piezoelectric ceramic and metal are discussed. The pure elastic energy, the pure electric energy and the electromechanical coupling energy can be calculated by using the steady state solution of forced vibration under the voltage. And then derive the equivalent circuit energy method to obtain the system’s four-terminal equivalent circuit. With no loss, the equivalent circuit is correct at all frequencies. Then using the equivalent circuit to find the loss of resonance near the resonance frequency exists in the displacement function. Then by the differential equations of motion can be dynamic shear stress distribution. Shear stress is proportional to the product of the actuating voltage and the mechanical quality factor. The shear stress at the center of the disc is zero. Shear stress increases rapidly with increasing radius. When r / a = 0.85, the maximum shear stress, the edge of the stress decreased slightly.