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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Resonant vibration investigations for piezoceramic disks and annuli by using the equivalent constant method
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Resonant vibration investigations for piezoceramic disks and annuli by using the equivalent constant method

机译：用等效常数法研究压电陶瓷盘和环的共振振动

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This paper presents the equivalent constant method to investigate the transverse vibration of piezoceramic disks and annuli. By comparing the characteristic equations of resonant frequencies between isotropic and piezoceramic disks, the named equivalent Poisson's ratio /spl nu/~ is derived, then the transverse vibration characteristic equation can be expressed as a single formulation for these two materials. To verify this method, characteristic equations of transverse vibration for piezoceramic disks and annuli with many different boundary conditions are discussed and calculated for resonant frequencies. Numerical calculations based on the finite-element method (FEM) also are performed, and the results agree rather well with the theoretical predictions. With the aid of the relations between frequency parameter and equivalent Poisson's ratio in explicit form, the other application of equivalent Poisson's ratio is the inverse evaluation of material constants. The laser Doppler vibrometer (LDV) and impedance analyzer are used to experimentally obtain the resonant frequencies of transverse and radial extensional vibrations, respectively. By the experimental results for the traction-free piezoceramic disk, the planar Poisson's ratio v/sub p/ and planar electromechanical coupling coefficient k/sub p/ are determined.
机译：本文提出了等效常数法研究压电陶瓷盘和环的横向振动。通过比较各向同性和压电陶瓷盘之间的共振频率特征方程，可以得出命名的等效泊松比/ spl nu /〜，然后可以将这两种材料的横向振动特征方程表示为一个公式。为了验证该方法，讨论了压电陶瓷盘和环在许多不同边界条件下的横向振动特征方程，并计算了共振频率。还进行了基于有限元方法（FEM）的数值计算，结果与理论预测相当吻合。借助于频率参数和显式形式的等效泊松比之间的关系，等效泊松比的另一种应用是对材料常数的反求。激光多普勒振动计（LDV）和阻抗分析仪分别用于通过实验获得横向和径向延伸振动的共振频率。通过无牵引压电陶瓷盘的实验结果，确定了平面泊松比v / sub p /和平面机电耦合系数k / sub p /。

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