Electro-mechanical coupling wave propagating in a locally resonant piezoelectric/elastic phononic crystal nanobeam with surface effects

The model of a "spring-mass" resonator periodically attached to a piezoelectric/elastic phononic crystal(PC) nanobeam with surface effects is proposed, and the corresponding calculation method of the band structures is formulized and displayed by introducing the Euler beam theory and the surface piezoelectricity theory to the plane wave expansion(PWE) method. In order to reveal the unique wave propagation characteristics of such a model, the band structures of locally resonant(LR) elastic PC Euler nanobeams with and without resonators, the band structures of LR piezoelectric PC Euler nanobeams with and without resonators, as well as the band structures of LR elastic/piezoelectric PC Euler nanobeams with resonators attached on PZT-4, with resonators attached on epoxy, and without resonators are compared. The results demonstrate that adding resonators indeed plays an active role in opening and widening band gaps. Moreover, the influence rules of different parameters on the band gaps of LR elastic/piezoelectric PC Euler nanobeams with resonators attached on epoxy are discussed, which will play an active role in the further realization of active control of wave propagations.

基于压电激振的弹性模量测量方法

为了提高固体材料弹性模量测量精度以及简化测量过程,提出一种新的固体材料弹性模量测量方法。首先,采用压电陶瓷激振与拾振测试试件的一阶共振频率;其次,利用有限元仿真软件ANSYS对试件的振动模态进行仿真;最后,将实测的一阶共振频率与ANSYS仿真结果进行对比,从而推算出试件材料的弹性模量。分别对钛合金、铝合金、不锈钢试件的弹性模量进行了测量与分析,测量结果精确可靠。对钛合金相同批次、相同直径、不同长度的试件进行了测量,测量误差小于0.3%。该方法消除了传统动态共振测量法中数值拟合求一阶共振频率带来的误差,ANSYS模态仿真降低了对试件的形状要求,使测量过程简化,测量精度显著提高。

压电弹性梁主共振响应的时滞加速度反馈控制

应用时滞加速度反馈控制方法研究压电弹性梁主共振响应的减振控制。基于Hamilton原理和时滞加速度闭环反馈控制策略,建立了压电耦合弹性梁的非线性动力学模型。采用多尺度方法,得到了受控梁主共振响应的一阶近似解及稳定性条件,进而给出了响应峰值和临界激励幅值的表达式,并给出算例分析。结果表明:采用时滞加速度反馈控制可以有效减振,其主共振响应受时滞值周期性影响,合理选取控制增益和时滞值,可以避免主共振区及多值不稳定解,提高振动控制效果。

PZT压电陶瓷矩形振子的三维耦合振动

本文研究了压电陶瓷矩形振子的三维耦合振动,通过引入振子的等效弹性系数,用解析法导出了振子的共振频率方程,由频率方程计算了振子耦合振动的共振频率.理论分析表明,压电陶瓷细长棒的纵向振动,薄板的径向及厚度振动等都可由本文理论导出,与数值法相比,本文理论计算简单,物理意义明显.实验表明,振子共振频率的计算值与测量值基本符合.

多维耦合振动复合压电振子的设计

运用表观弹性法，采用二次径向谐振频率计算表现弹性模量，设计高度与直径可比拟，谐振频率不满足压电晶片和金属圆片最低径向谐振频率方程的多维耦合振动复合压电报子。用本方法设计垂直探鱼仪的换能器和提高优质单胞藻饲料多不饱和脂肪酸含量的超声辐射仪换能器。计算结果表明，理论值与实验值相符合。这种方法简单、方便，适用于压电晶片的径向谐振频率低于换能器谐振频率的多维耦合振动复合压电振子的设计。