考虑粘结层和阻抗解析表达式的压电阻抗模型

A Modified Electro-mechanical Impedance Model Considering Bonding Layer and Impedance Analytical Expressions

引用根据自由梁振动原理得到的一维梁结构机械阻抗解析表达式,并考虑压电陶瓷锆钛酸铅(PZT)和梁结构之间的粘结层对二者的应力应变传递过程的影响,改进了一维梁结构压电阻抗模型。在粘结系数ξ分别为0.01、0.02和1.00的3种粘结状态下,对5～80kHz频率范围内PZT耦合电阻抗进行了数值计算。测量计算得到α-氰基丙烯酸乙酯、环氧树脂和改性丙烯酸酯三种粘结剂的粘结强度,分别为0.882MPa、7.621MPa和10.198MPa,并在3种粘结状态下测量了5～80kHz频率范围内PZT的耦合电阻抗。研究表明,数值模拟和实验测量所得的耦合电阻抗谱符合良好,数值计算与实验结果峰值对应频率的相对误差范围是0.25%～6.06%。

A modified electro-mechanical impedance model of one-dimensional beam is presented in this study.The presented model references the structure mechanical impedance analytical expression of one-dimensional beam getting from the free-beam vibration theory.The effect of the adhesive layers on the dynamic interaction between piezoelectric actuators-sensors（PZT） and host beam is also taken into account.The modified model is used for performing the numerical simulation of the PZT coupling electric impedance spectrum in the 5~80 kHz range,when the bonding coefficient ξ is 0.01,0.02 and 1.0,respectively.The adhesive strength of three kinds of adhesives,α-cyanoacrylate,epoxy resin and modified acrylate,are obtained by measurement and calculation,which is 0.882 MPa,7.621 MPa and 10.198 MPa,respectively.Then the PZT coupling electric impedance spectrum of the beams using the three different adhesives is measured in the range of 5~80 kHz as the numerical simulation.The result shows that the coupling impedance spectrum of numerical simulation corresponds with the experimental result very well,and the relative error of the peak corresponding frequency between them is 0.25%~6.06%.