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中文核心期刊

具有压电分流电路薄板的吸声特性Ⅰ.理论分析

Sound absorption characteristics of a thin plate with PZT shunted with passive electrical circuit I. Theoretical analysis

  • 摘要: 首次从理论上分析了粘有压电陶瓷片薄板的低频吸声特性和吸声机理。根据压电陶瓷薄片外接分流电路时的等效柔顺性系数,应用拉格朗日方程建立了粘有压电陶瓷片薄板的运动方程。该方程中包含了薄板和压电片的质量、弹性、阻尼以及压电片分流电路的电阻和电感。给出了粘有压电片薄板的表面阻抗和吸声系数的数值计算方法,数值计算表明调节分流电路参数可明显改善薄板一阶模态处的吸声特性。

     

    Abstract: The possibility of sound absorbing by a vibrating plate with piezoelectric material shunted with passive electrical circuit was theoretically investigated. Basing on an equivalent compliance of piezoelectric wafer shunted with RL circuits, the governing equations for the flexural vibration of the plate with piezoelectric wafer shunted with RL circuits were derived using Lagrange's approach. The equations take into account not only the mass, stiffness and structural damping for the plate and the wafer, but also the electrical resistance and electrical inductance of the RL circuits. Based on the governing equations derived, the surface impedance and sound absorption coefficient of the plate backed with a cavity were given. Numerical results showed that the sound absorption coefficient of the plate near its first mode can be significantly improved by adjusting the RL parameters.

     

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