Huang Zhicheng, Mao Yuhang, Dai Anna, Han Mengna, Wang Xingguo, Chu Fulei
College of Mechanical and Electrical Engineering, Jingdezhen Ceramic University, Jingdezhen 333001, China.
Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China.
Materials (Basel). 2022 May 31;15(11):3907. doi: 10.3390/ma15113907.
This paper deals with the active vibration control of piezoelectric sandwich plate. The structure consists of a substrate plate layer sandwiched between two layers of piezoelectric sensor and actuator. Based on laminate theory and constitutive equation of piezoelectric material, the vibration active control dynamic equation of the sandwich structure is established by using hypothetical mode method and Hamilton principle. The Rayleigh-Ritz method is used to solve it. The form of hypothetical solution is used for approximate solution, which is simple and accurate. The method of this paper is verified by several examples. The parametric studies of the sandwich plate structures are carried out. The results show that applying different boundary conditions and piezoelectric patch positions to the structures have a great influence on the natural frequency. When the driving voltage increases, the deflection of the plate structures increase approximately linearly. The active vibration control studies are investigated as well. The results show that within a certain range, the larger the value of the speed feedback coefficient, the better the active control effect. The positions of the piezoelectric patches affect the effectiveness and cost of active control. When the piezoelectric plate is located at the fixed end, the effect and cost of active control are better than that at the midpoint and free end of the plate.
本文研究了压电夹层板的振动主动控制。该结构由夹在两层压电传感器和致动器之间的基板层组成。基于层合理论和压电材料的本构方程，采用假设模态法和哈密顿原理建立了夹层结构的振动主动控制动力学方程。采用瑞利 - 里兹法求解该方程。使用假设解的形式进行近似求解，这种方法简单且准确。本文的方法通过几个例子得到了验证。对夹层板结构进行了参数研究。结果表明，对结构施加不同的边界条件和压电贴片位置对固有频率有很大影响。当驱动电压增加时，板结构的挠度近似线性增加。还研究了振动主动控制。结果表明，在一定范围内，速度反馈系数的值越大，主动控制效果越好。压电贴片的位置影响主动控制的有效性和成本。当压电板位于固定端时，主动控制的效果和成本优于位于板中点和自由端的情况。
